Merge lp:~j-bull08/fluidity/turbulence-clean into lp:fluidity

[Jonathan Bull]

Updates to dynamic LES which fix some errors in the trunk version of the model. These were in use in my personal branch. Changes include:
- filter width definitions
- diamond options (choose scalar or tensor filter width, choose ratio of tes filter to first filter)
- included backscatter option (prevents sum of visc+eddy visc<0, otherwise eddy visc>0)
- removed some diagnostic fields which were for debugging
- correctly calculate filtered strain product for Smagorinsky coeff calculation
- update schema explanations
- improve clarity of code comments

Updates to Helmholtz smoothing subroutines:
- add Dirichlet BCs from source field to filtered field
- change alpha to a scalar multiplier of scalar element size (the Deardorff definition) in scalar smoothing routines (previously an isotropic tensor not multiplied by element size).

Added tests of scalar and vector field smoothing routines on structured and unstructured meshes. These test the convergence rate of the filtered fields (convergence rate of close to 2 expected).
Commutation errors (defined as the filtered gradient of a field minus the gradient of the filtered field) are also tested, with convergence rates hard to predict but expected to be greater than 0 and less than 2, depending on the mesh and influence of a boundary error. Tested rates are somewhat arbitrary but roughly conform to expectation.

[lp:~j-bull08/fluidity/turbulence-clean]

3598. By Jonathan Bull on 2013-02-21

fixing silly mistake in dynamic LES assembly routine.

3599. By Jonathan Bull on 2013-02-21

Removing defunct test.
Removing backscatter option from dynamic LES. Adding in optional Smagorinsky coefficient diagnostic field. Limiting the coefficient in the assembly routine to prevent instability.

3600. By Jonathan Bull on 2013-02-21

reverting unintended changes.

3601. By Jonathan Bull on 2013-02-21

more unintended changes being reverted.

3602. By Jonathan Bull on 2013-02-21

changing permissions on script

[Jonathan Bull (j-bull08)]

There appears to be an issue with the directory examples/backward_facing_step_3d/Ercoftac-test31-BFS. It has been removed and added again, but without any changes to the contents. Please ignore this in the review.

[lp:~j-bull08/fluidity/turbulence-clean]

3603. By Jonathan Bull on 2013-02-21

removing another defunct test.

[Christian Jacobs (ctjacobs)]

Looks good - nice to see lots more comments and tests. I can't really comment on the Helmholtz smoothing stuff as I don't know much about it, but the rest looks fine. A few small points:

- Lines 2169-2171 of Momentum_CG.F90:

! Normalise tensor filter width so that volume equals that of scalar filter width definition
!f1_gi(:,:,gi) = f1_gi(:,:,gi)*f1_mod(gi)/norm2(f1_gi(:,:,gi))
!f2_gi(:,:,gi) = f2_gi(:,:,gi)*f2_mod(gi)/norm2(f2_gi(:,:,gi))

Please can this commented out code be removed. It seems f1_gi and f2_gi no longer exist anyway.

- It would be nice if the scalar LES diagnostic fields were placed in their own loop (like what is done for diagnostic_tfield_names), even if only the SmagorinskyCoeffcient field is considered so far. This would make it easier to add more scalar diagnostic fields in the future.

- A unit test for the tensor filter width would be useful - something similar to test_length_scale_scalar which compares the 'computed by hand' filter width against the one computed by length_scale_tensor in femtools/Smoothing_module.F90.

- There are a few failing tests on buildbot, mostly to do with the smoothing stuff: http://buildbot-ocean.ese.ic.ac.uk:8080/builders/turbulence-clean. Please can these be fixed before merging.

- Also, please can you make sure the flow_past_a_square longtest and the BFS examples pass locally before merging into the trunk.

[lp:~j-bull08/fluidity/turbulence-clean]

3604. By Jonathan Bull on 2013-02-25

modifying convergence criterion. All smoothing tests should now pass.

[Jonathan Bull (j-bull08)]

Thanks Christian.
I've done some of the changes you suggested and am working on the rest. How do I force a build on the buildbot branch? How often are they scheduled?

Jonathan
________________________________________
From: <email address hidden> [<email address hidden>] on behalf of Christian Jacobs [<email address hidden>]
Sent: 25 February 2013 14:09
To: <email address hidden>
Subject: Re: [Merge] lp:~j-bull08/fluidity/turbulence-clean into lp:fluidity

Looks good - nice to see lots more comments and tests. I can't really comment on the Helmholtz smoothing stuff as I don't know much about it, but the rest looks fine. A few small points:

- Lines 2169-2171 of Momentum_CG.F90:

! Normalise tensor filter width so that volume equals that of scalar filter width definition
!f1_gi(:,:,gi) = f1_gi(:,:,gi)*f1_mod(gi)/norm2(f1_gi(:,:,gi))
!f2_gi(:,:,gi) = f2_gi(:,:,gi)*f2_mod(gi)/norm2(f2_gi(:,:,gi))

Please can this commented out code be removed. It seems f1_gi and f2_gi no longer exist anyway.

- It would be nice if the scalar LES diagnostic fields were placed in their own loop (like what is done for diagnostic_tfield_names), even if only the SmagorinskyCoeffcient field is considered so far. This would make it easier to add more scalar diagnostic fields in the future.

- A unit test for the tensor filter width would be useful - something similar to test_length_scale_scalar which compares the 'computed by hand' filter width against the one computed by length_scale_tensor in femtools/Smoothing_module.F90.

- There are a few failing tests on buildbot, mostly to do with the smoothing stuff: http://buildbot-ocean.ese.ic.ac.uk:8080/builders/turbulence-clean. Please can these be fixed before merging.

- Also, please can you make sure the flow_past_a_square longtest and the BFS examples pass locally before merging into the trunk.

--
https://code.launchpad.net/~j-bull08/fluidity/turbulence-clean/+merge/149592
You are the owner of lp:~j-bull08/fluidity/turbulence-clean.

[lp:~j-bull08/fluidity/turbulence-clean]

3605. By Jonathan Bull on 2013-02-25

fixing smooth_scalar unittest.
removing commented-out code from Momentum_CG.

3606. By Jonathan Bull on 2013-02-25

removing a module that I didn't finish developing.
Adding a unit test for tensor length scale (not working yet)
Fixing build dependencies.

3607. By Jonathan Bull on 2013-02-25

correcting the length_scale_tensor unittest

[Christian Jacobs (ctjacobs)]

Awesome. The branch's build queue isn't scheduled to run at a certain time, so you'll need to force a build here: http://buildbot-ocean.ese.ic.ac.uk:8080/builders/turbulence-clean by scrolling down and clicking the Force Build button.

[lp:~j-bull08/fluidity/turbulence-clean]

3608. By Jonathan Bull on 2013-02-27

putting LES scalar diagnostic field(s) in their own loop.

3609. By Jonathan Bull on 2013-02-28

Fixing the bfs2d example. It now tests for correct reattachment length and convergence to steady state. k-epsilon is very accurate vs. experimental data.

3610. By Jonathan Bull on 2013-03-01

changes to bfs3d example.

3611. By Jonathan Bull on 2013-03-05

further improvements to bfs3d example

3612. By Jonathan Bull on 2013-03-05

changing to gmsh format

3613. By Jonathan Bull on 2013-03-06

merging in trunk changes.
Also fixing 2 Helmholtz unstructured tests.

3614. By Jonathan Bull on 2013-03-06

trying a different mesh generation algorithm in failing test. It was doing fine on a local machine but failing on buildbot.
modifying bfs3d example. not quite right yet.

3615. By Jonathan Bull on 2013-03-07

fixing test on cx1 and local machine.
modifying bfs3d example - still not perfected.

3616. By Jonathan Bull on 2013-03-08

adding .msh files to repo since gmsh behaves differently on cx1, causing test to fail. changing tolerances and changing .geo files back to original forms.

3617. By Jonathan Bull on 2013-03-08

merging in trunk changes

3618. By Jonathan Bull on 2013-03-08

merging in turbulence branch (no changes)

3619. By Jonathan Bull on 2013-03-08

small change to make clean in test.
Making fields in bfs3d use consistent interpolation to try and fix problem with diagnostic output.

3620. By Jonathan Bull on 2013-03-12

bfs3d example now roughly converges in time-average velocity and produces sensible plots of reattachment length and velocity profiles when postprocessed.

3621. By Jonathan Bull on 2013-03-12

merging in latest trunk changes.

[Jonathan Bull (j-bull08)]

BFS3D example now working quite nicely, with reasonable reattachment length and velocity profile plots when results are post-processed. Same for BFS2D. Tests are green on buildbot. However, the mphase_rising_body and divergence_free_velocity_press_cg_test_cty_cv tests are failing on caoimhe. I don't know why.

[Christian Jacobs (ctjacobs)]

Looks good to me. However, since this will be quite a big merge, I would like to make sure that all longtests have a green light on buildbot with the current version of the trunk before you merge in your branch. Many of the buildbot longtests are currently failing because the Fluidity binary is not updating as it should. It's currently testing an out-of-date version of the trunk. I'll keep you informed.

review: Approve

[Tim Greaves (tim-greaves)]

Thanks for flagging that one up Christian - that's one for me to fix. I have a solution in mind which I'll have a go at implementing today.

[Tim Greaves (tim-greaves)]

The buildbot bug is now fixed, so all tests should now run with the latest version of Fluidity completed building at the point that they are started.

[Christian Jacobs (ctjacobs)]

Excellent. Thank you!

[Tim Greaves (tim-greaves)]

We have a fallout of one example and three long tests needing a bit of attention; I've contacted the maintainers of each and asked them to take a look. Once that's done we should be green across the relevant boards.

(I'm assuming the BFS2d example will be fixed by this merge hence is OK to be red)

[Tim Greaves (tim-greaves)]

Christian - we have this at the point where there are three known existing failures (driven cavity example, and OOCD and stagnant conical island long tests) which there seems to be no immediate interest from the maintainers in fixing, and we're aware of them and can if needs be go back to the existing revision to do fixes. Everything else looks to be fine after a week's running through of the examples and long tests. On this basis, do you think we could go ahead and do this merge?

[Christian Jacobs (ctjacobs)]

Thanks Tim. I'm fine with this being merged in now. Jonathan: Merge when ready.

[lp:~j-bull08/fluidity/turbulence-clean]

3622. By Jonathan Bull on 2013-04-16

Merging in latest trunk changes.

[Jonathan Bull (j-bull08)]

I've merged in the latest trunk changes and run make test. divergence_free_velocity_press_cg_test_cty_cv is failing, but I see that it is failing on buildbot too. However, no_normal_flow_dg and mphase_rising_body are also failing locally, while they are not failing on buildbot. Any ideas?

[Christian Jacobs (ctjacobs)]

The mphase_rising_body test has failed before on some systems. I think it was just a tolerance issue. Not sure about the other tests, but if the branch queue has a green light then I would go for the merge.

[Jonathan Bull (j-bull08)]

Green on buildbot, so going for the merge. Thanks for your help.

=== modified file 'assemble/LES.F90'
--- assemble/LES.F90	2013-01-26 19:48:17 +0000
+++ assemble/LES.F90	2013-04-16 15:27:30 +0000
@@ -48,167 +48,205 @@
 
 contains
 
-  subroutine les_init_diagnostic_fields(state, have_eddy_visc, have_strain, have_filtered_strain, have_filter_width)
+  subroutine les_init_diagnostic_fields(state, have_eddy_visc, have_filter_width, have_coeff)
 
     ! Arguments
-    type(state_type), intent(inout) :: state
-    logical, intent(in) :: have_eddy_visc, have_strain, have_filtered_strain, have_filter_width
+    type(state_type), intent(inout)             :: state
+    logical, intent(in)                         :: have_eddy_visc, have_filter_width, have_coeff
     
     ! Local variables
-    logical, dimension(4) :: have_diagnostic_field
-    character(len=FIELD_NAME_LEN), dimension(4) :: diagnostic_field_names
-    type(tensor_field), pointer :: field
-    integer :: i
+    logical, dimension(2)                       :: have_diagnostic_tfield
+    logical, dimension(1)                       :: have_diagnostic_sfield
+    character(len=FIELD_NAME_LEN), dimension(2) :: diagnostic_tfield_names
+    character(len=FIELD_NAME_LEN), dimension(1) :: diagnostic_sfield_names
+    type(tensor_field), pointer                 :: tfield
+    type(scalar_field), pointer                 :: sfield
+    integer                                     :: i
 
     ewrite(2,*) "Initialising optional LES diagnostic fields"
     
-    have_diagnostic_field = (/have_eddy_visc, have_strain, have_filtered_strain, have_filter_width/)
-    diagnostic_field_names(1) = "EddyViscosity"
-    diagnostic_field_names(2) = "StrainRate"
-    diagnostic_field_names(3) = "FilteredStrainRate"
-    diagnostic_field_names(4) = "FilterWidth"
+    have_diagnostic_tfield = (/have_eddy_visc, have_filter_width/)
+    diagnostic_tfield_names(1) = "EddyViscosity"
+    diagnostic_tfield_names(2) = "FilterWidth"
     
-    diagnostic_field_loop: do i = 1, size(diagnostic_field_names)
-      if(have_diagnostic_field(i)) then
-         field => extract_tensor_field(state, diagnostic_field_names(i))
-         call zero(field)
-      end if
-    end do diagnostic_field_loop
+    diagnostic_tfield_loop: do i = 1, size(diagnostic_tfield_names)
+      if(have_diagnostic_tfield(i)) then
+         tfield => extract_tensor_field(state, diagnostic_tfield_names(i))
+         call zero(tfield)
+      end if
+    end do diagnostic_tfield_loop
+
+    have_diagnostic_sfield = (/have_coeff/)
+    diagnostic_sfield_names(1) = "SmagorinskyCoefficient"
+
+    diagnostic_sfield_loop: do i = 1, size(diagnostic_sfield_names)
+      if(have_diagnostic_sfield(i)) then
+         sfield => extract_scalar_field(state, diagnostic_sfield_names(i))
+         call zero(sfield)
+      end if
+    end do diagnostic_sfield_loop
 
   end subroutine les_init_diagnostic_fields
 
   subroutine les_assemble_diagnostic_fields(state, nu, ele, detwei, &
-                 mesh_size_gi, strain_gi, t_strain_gi, les_tensor_gi, &
-                 have_eddy_visc, have_strain, have_filtered_strain, have_filter_width)
+                 mesh_size_gi,les_tensor_gi, les_coef_gi, &
+                 have_eddy_visc, have_filter_width, have_coeff)
 
     ! Arguments
     type(state_type), intent(inout)                             :: state
     type(vector_field), intent(in)                              :: nu
     integer, intent(in)                                         :: ele
-    real, dimension(ele_ngi(nu,ele)), intent(in)                :: detwei
-    real, dimension(nu%dim,nu%dim,ele_ngi(nu,ele)),intent(in)   :: strain_gi, t_strain_gi, mesh_size_gi, les_tensor_gi
-    logical, intent(in) :: have_eddy_visc, have_strain, have_filtered_strain, have_filter_width
+    real, dimension(ele_ngi(nu,ele)), intent(in)                :: les_coef_gi, detwei
+    real, dimension(nu%dim,nu%dim,ele_ngi(nu,ele)),intent(in)   :: mesh_size_gi, les_tensor_gi
+    logical, intent(in) :: have_eddy_visc, have_filter_width, have_coeff
     
     ! Local variables
-    type(tensor_field), pointer                                 :: field
+    type(tensor_field), pointer                                 :: tfield
+    type(scalar_field), pointer                                 :: sfield
     real, dimension(nu%dim,nu%dim,ele_loc(nu,ele))              :: tensor_loc
+    real, dimension(ele_loc(nu,ele))                            :: scalar_loc
 
-    ! Eddy viscosity field m_ij
+    ! Eddy viscosity
     if(have_eddy_visc) then
-      field => extract_tensor_field(state, "EddyViscosity")
+      tfield => extract_tensor_field(state, "EddyViscosity")
       tensor_loc=shape_tensor_rhs(ele_shape(nu, ele), les_tensor_gi, detwei)
-      call addto(field, ele_nodes(nu, ele), tensor_loc)
-    end if
-
-    ! Strain rate field S1
-    if(have_strain) then
-      field => extract_tensor_field(state, "StrainRate")
-      tensor_loc=shape_tensor_rhs(ele_shape(nu, ele), strain_gi, detwei)
-      call addto(field, ele_nodes(nu, ele), tensor_loc)
-    end if
-
-    ! Filtered strain rate field S2
-    if(have_filtered_strain) then
-      field => extract_tensor_field(state, "FilteredStrainRate")
-      tensor_loc=shape_tensor_rhs(ele_shape(nu, ele), t_strain_gi, detwei)
-      call addto(field, ele_nodes(nu, ele), tensor_loc)
+      call addto(tfield, ele_nodes(nu, ele), tensor_loc)
     end if
 
     ! Filter width
     if(have_filter_width) then
-      field => extract_tensor_field(state, "FilterWidth")
+      tfield => extract_tensor_field(state, "FilterWidth")
       tensor_loc=shape_tensor_rhs(ele_shape(nu, ele), mesh_size_gi, detwei)
-      call addto(field, ele_nodes(nu, ele), tensor_loc)
+      call addto(tfield, ele_nodes(nu, ele), tensor_loc)
+    end if
+
+    ! Smagorinsky Coefficient
+    if(have_coeff) then
+      sfield => extract_scalar_field(state, "SmagorinskyCoefficient")
+      scalar_loc=shape_rhs(ele_shape(nu, ele), les_coef_gi*detwei)
+      call addto(sfield, ele_nodes(nu, ele), scalar_loc)
     end if
 
   end subroutine les_assemble_diagnostic_fields
 
-  subroutine les_solve_diagnostic_fields(state, have_eddy_visc, have_strain, have_filtered_strain, have_filter_width)
+  subroutine les_solve_diagnostic_fields(state, have_eddy_visc, have_filter_width, have_coeff)
 
     ! Arguments
     type(state_type), intent(inout) :: state
-    logical, intent(in) :: have_eddy_visc, have_strain, have_filtered_strain, have_filter_width
+    logical, intent(in) :: have_eddy_visc, have_filter_width, have_coeff
     
     ! Local variables
-    logical, dimension(4) :: have_diagnostic_field
-    character(len=FIELD_NAME_LEN), dimension(4) :: diagnostic_field_names
-    type(tensor_field), pointer :: field
-    integer :: i
-    type(vector_field), pointer :: u
-    type(csr_matrix), pointer :: mass_matrix
-    type(scalar_field), pointer :: lumped_mass
-    type(scalar_field) :: inv_lumped_mass
-    logical :: lump_mass = .false.
-    logical :: use_submesh = .false.
+    logical, dimension(2)                       :: have_diagnostic_tfield
+    logical, dimension(1)                       :: have_diagnostic_sfield
+    character(len=FIELD_NAME_LEN), dimension(2) :: diagnostic_tfield_names
+    character(len=FIELD_NAME_LEN), dimension(1) :: diagnostic_sfield_names
+    type(tensor_field), pointer                 :: tfield
+    type(scalar_field), pointer                 :: sfield
+    integer                                     :: i
+    type(vector_field), pointer                 :: u
+    type(csr_matrix), pointer                   :: mass_matrix
+    type(scalar_field), pointer                 :: lumped_mass
+    type(scalar_field)                          :: inv_lumped_mass
+    logical                                     :: lump_mass = .false.
+    logical                                     :: use_submesh = .false.
     
     ewrite(2,*) "Solving for optional LES diagnostic fields"
         
     u => extract_vector_field(state, "Velocity")
     
-    have_diagnostic_field = (/have_eddy_visc, have_strain, have_filtered_strain, have_filter_width/)
-    diagnostic_field_names(1) = "EddyViscosity"
-    diagnostic_field_names(2) = "StrainRate"
-    diagnostic_field_names(3) = "FilteredStrainRate"
-    diagnostic_field_names(4) = "FilterWidth"
-    
-    diagnostic_field_loop: do i = 1, size(diagnostic_field_names)
-      if(have_diagnostic_field(i)) then
-         field => extract_tensor_field(state, diagnostic_field_names(i))
+    have_diagnostic_tfield = (/have_eddy_visc, have_filter_width/)
+    diagnostic_tfield_names(1) = "EddyViscosity"
+    diagnostic_tfield_names(2) = "FilterWidth"
+    
+    diagnostic_tfield_loop: do i = 1, size(diagnostic_tfield_names)
+      if(have_diagnostic_tfield(i)) then
+         tfield => extract_tensor_field(state, diagnostic_tfield_names(i))
+         lump_mass = have_option(trim(tfield%option_path)//"/diagnostic/mass_matrix"//&
+            &"/use_lumped_mass_matrix")
+         use_submesh = have_option(trim(tfield%option_path)//"/diagnostic/mass_matrix"//&
+            &"/use_lumped_mass_matrix/use_submesh") ! For P2 meshes.
+            
+         if(lump_mass) then
+            if(use_submesh) then
+               lumped_mass => get_lumped_mass_on_submesh(state, tfield%mesh)
+            else
+               lumped_mass => get_lumped_mass(state, tfield%mesh)
+            end if
+            call allocate(inv_lumped_mass, tfield%mesh)
+            call invert(lumped_mass, inv_lumped_mass)
+            call scale(tfield, inv_lumped_mass)
+            call deallocate(inv_lumped_mass)
+         else
+            mass_matrix => get_mass_matrix(state, tfield%mesh)
+            call petsc_solve(tfield, mass_matrix, tfield, option_path=u%option_path)
+         end if
+      end if
+    end do diagnostic_tfield_loop
+    
+    have_diagnostic_sfield = (/have_coeff/)
+    diagnostic_sfield_names(1) = "SmagorinskyCoefficient"
+    
+    diagnostic_sfield_loop: do i = 1, size(diagnostic_sfield_names)
+      if(have_diagnostic_sfield(i)) then
+         sfield => extract_scalar_field(state, diagnostic_sfield_names(i))
+         lump_mass = have_option(trim(sfield%option_path)//"/diagnostic/mass_matrix"//&
+            &"/use_lumped_mass_matrix")
+         use_submesh = have_option(trim(sfield%option_path)//"/diagnostic/mass_matrix"//&
+            &"/use_lumped_mass_matrix/use_submesh") ! For P2 meshes.
+            
+         if(lump_mass) then
+            if(use_submesh) then
+               lumped_mass => get_lumped_mass_on_submesh(state, sfield%mesh)
+            else
+               lumped_mass => get_lumped_mass(state, sfield%mesh)
+            end if
+            call allocate(inv_lumped_mass, sfield%mesh)
+            call invert(lumped_mass, inv_lumped_mass)
+            call scale(sfield, inv_lumped_mass)
+            call deallocate(inv_lumped_mass)
+         else
+            mass_matrix => get_mass_matrix(state, sfield%mesh)
+            call petsc_solve(sfield, mass_matrix, sfield, option_path=u%option_path)
+         end if
+      end if
+    end do diagnostic_sfield_loop
 
-         lump_mass = have_option(trim(field%option_path)//"/diagnostic/mass_matrix"//&
-            &"/use_lumped_mass_matrix")
-         use_submesh = have_option(trim(field%option_path)//"/diagnostic/mass_matrix"//&
-            &"/use_lumped_mass_matrix/use_submesh") ! For P2 meshes.
-            
-         if(lump_mass) then
-            if(use_submesh) then
-               lumped_mass => get_lumped_mass_on_submesh(state, field%mesh)
-            else
-               lumped_mass => get_lumped_mass(state, field%mesh)
-            end if
-            call allocate(inv_lumped_mass, field%mesh)
-            call invert(lumped_mass, inv_lumped_mass)
-            call scale(field, inv_lumped_mass)
-            call deallocate(inv_lumped_mass)
-         else
-            mass_matrix => get_mass_matrix(state, field%mesh)
-            call petsc_solve(field, mass_matrix, field, option_path=u%option_path)
-         end if
-         
-      end if
-    end do diagnostic_field_loop
-    
   end subroutine les_solve_diagnostic_fields
   
-  subroutine leonard_tensor(nu, positions, tnu, leonard, alpha, path)
+  subroutine leonard_tensor(nu, positions, fnu, tnu, leonard, strainprod, alpha, gamma, path)
 
     ! Unfiltered velocity
-    type(vector_field), pointer               :: nu
-    type(vector_field), intent(in)            :: positions
-    ! Filtered velocity
-    type(vector_field), pointer               :: tnu
-    ! Leonard tensor field
-    type(tensor_field), pointer               :: leonard
-    ! Scale factor: test filter/mesh size
-    real, intent(in)                          :: alpha
-    character(len=OPTION_PATH_LEN), intent(in):: path
+    type(vector_field), pointer                           :: nu
+    type(vector_field), intent(in)                        :: positions
+    ! Filtered velocities
+    type(vector_field), pointer                           :: fnu, tnu
+    ! Leonard tensor and strain product
+    type(tensor_field), pointer                           :: leonard, strainprod
+    ! Scale factors
+    real, intent(in)                                      :: alpha, gamma
+    character(len=OPTION_PATH_LEN), intent(in)            :: path
     ! Local quantities
-    type(tensor_field), pointer               :: ui_uj, tui_tuj
-    character(len=OPTION_PATH_LEN)            :: lpath
-    integer                                   :: i
-    real, dimension(:), allocatable           :: u_loc
-    real, dimension(:,:), allocatable         :: t_loc
+    type(tensor_field), pointer                           :: ui_uj, tui_tuj
+    character(len=OPTION_PATH_LEN)                        :: lpath
+    integer                                               :: i, ele, gi
+    real, dimension(:), allocatable                       :: u_loc
+    real, dimension(:,:), allocatable                     :: t_loc
+    real, dimension(ele_loc(nu,1), ele_ngi(nu,1), nu%dim) :: du_t
+    real, dimension(ele_ngi(nu,1))                        :: detwei
+    real, dimension(nu%dim, nu%dim, ele_ngi(nu,1))        :: strain_gi, strain_prod_gi
+    type(element_type)                                    :: shape_nu
 
     ! Path is to level above solver options
     lpath = (trim(path)//"/dynamic_les")
     ewrite(2,*) "filter factor alpha: ", alpha
-
-    ewrite_minmax(nu)
-    ewrite_minmax(tnu)
-
-    call anisotropic_smooth_vector(nu, positions, tnu, alpha, lpath)
-
-    ewrite_minmax(nu)
+    ewrite(2,*) "filter factor gamma: ", gamma
+
+    ! First filter operator returns u^f:
+    call anisotropic_smooth_vector(nu, positions, fnu, alpha, lpath)
+    ! Test filter operator needs the ratio of test filter to mesh size and returns u^ft:
+    call anisotropic_smooth_vector(fnu, positions, tnu, alpha*gamma, lpath)
+    ewrite_minmax(nu)
+    ewrite_minmax(fnu)
     ewrite_minmax(tnu)
 
     ! Velocity products (ui*uj)
@@ -223,23 +261,41 @@
 
     ! Get cross products of velocities
     do i=1, node_count(nu)
-      ! Mesh filter ^r
-      u_loc = node_val(nu,i)
+      u_loc = node_val(fnu,i)
       t_loc = outer_product(u_loc, u_loc)
       call set( ui_uj, i, t_loc )
-      ! Test filter ^t
       u_loc = node_val(tnu,i)
-      ! Calculate (test-filtered velocity) products: (ui^rt*uj^rt)
+      ! Calculate (test-filtered velocity) products: (ui^ft*uj^ft)
       t_loc = outer_product(u_loc, u_loc)
       call set( tui_tuj, i, t_loc )
     end do
 
-    ! Calculate test-filtered (velocity products): (ui^r*uj^r)^t
-    call anisotropic_smooth_tensor(ui_uj, positions, leonard, alpha, lpath)
+    ! Calculate test-filtered (velocity products): (ui^f*uj^f)^t
+    call anisotropic_smooth_tensor(ui_uj, positions, leonard, alpha*gamma, lpath)
 
     ! Leonard tensor field
     call addto( leonard, tui_tuj, -1.0 )
 
+    ! Zero tensor field for reuse in strain product assembly
+    call zero(ui_uj)
+
+    do i=1, element_count(nu)
+      shape_nu = ele_shape(nu, i)
+      ! Assuming no FE stabilisation is used with LES so we can use velocity shape.
+      call transform_to_physical(positions, i, shape_nu, dshape=du_t, detwei=detwei)
+      ! Strain rate of first filtered velocity S1^f
+      strain_gi = les_strain_rate(du_t, ele_val(fnu, i))
+      do gi=1, ele_ngi(nu, ele)
+        ! Strain product = strain modulus*strain rate: |S1^f|S1^f
+        strain_prod_gi(:,:,gi) = sqrt(2*sum(strain_gi(:,:,gi)*strain_gi(:,:,gi))) * strain_gi(:,:,gi)
+      end do
+      ! Assemble local tensor field
+      call addto(ui_uj, ele_nodes(nu,i), shape_tensor_rhs(ele_shape(nu,i), strain_prod_gi, detwei))
+    end do
+
+    ! Filter strain product with test filter: (|S1^f|S1^f)^t
+    call anisotropic_smooth_tensor(ui_uj, positions, strainprod, alpha*gamma, lpath)
+
     ! Deallocates
     deallocate(u_loc, t_loc)
     call deallocate(ui_uj)

=== modified file 'assemble/Momentum_CG.F90'
--- assemble/Momentum_CG.F90	2013-03-03 01:36:16 +0000
+++ assemble/Momentum_CG.F90	2013-04-16 15:27:30 +0000
@@ -147,8 +147,7 @@
     ! LES coefficients and options
     real :: smagorinsky_coefficient
     character(len=OPTION_PATH_LEN) :: length_scale_type
-    logical :: have_lilly, have_eddy_visc, backscatter
-    logical :: have_strain, have_filtered_strain, have_filter_width
+    logical :: have_eddy_visc, have_filter_width, have_coeff
 
     ! Temperature dependent viscosity coefficients:
     real :: reference_viscosity
@@ -249,9 +248,9 @@
       ! For 4th order:
       type(tensor_field):: grad_u
       ! For Germano Dynamic LES:
-      type(vector_field), pointer :: tnu
-      type(tensor_field), pointer :: leonard
-      real                        :: alpha
+      type(vector_field), pointer :: fnu, tnu
+      type(tensor_field), pointer :: leonard, strainprod
+      real                        :: alpha, gamma
 
       ! for temperature dependent viscosity :
       type(scalar_field), pointer :: temperature
@@ -382,8 +381,7 @@
          &"/continuous_galerkin/les_model")
       if (have_les) then
          ! Set everything to false initially, then set to true if present
-         have_lilly=.false.; have_eddy_visc=.false.; backscatter=.false.
-         have_strain=.false.; have_filtered_strain=.false.; have_filter_width=.false.
+         have_eddy_visc=.false.; have_filter_width=.false.; have_coeff=.false.
 
          les_option_path=(trim(u%option_path)//"/prognostic/spatial_discretisation"//&
                  &"/continuous_galerkin/les_model")
@@ -401,7 +399,7 @@
             if(have_eddy_visc) then
                ! Initialise the eddy viscosity field. Calling this subroutine works because
                ! you can't have 2 different types of LES model for the same material phase.
-               call les_init_diagnostic_fields(state, have_eddy_visc, .false., .false., .false.)
+               call les_init_diagnostic_fields(state, have_eddy_visc, .false., .false.)
             end if
          end if
          if (les_fourth_order) then
@@ -415,47 +413,57 @@
                  smagorinsky_coefficient)
          end if
          if(dynamic_les) then
-           ! Are we using the Lilly (1991) modification?
-           have_lilly = have_option(trim(les_option_path)//"/dynamic_les/enable_lilly")
-
-           ! Whether or not to allow backscatter (negative eddy viscosity)
-           backscatter = have_option(trim(les_option_path)//"/dynamic_les/enable_backscatter")
-
+           ! Scalar or tensor filter width
+           call get_option(trim(les_option_path)//"/dynamic_les/length_scale_type", length_scale_type)
            ! Initialise optional diagnostic fields
            have_eddy_visc = have_option(trim(les_option_path)//"/dynamic_les/tensor_field::EddyViscosity")
-           have_strain = have_option(trim(les_option_path)//"/dynamic_les/tensor_field::StrainRate")
-           have_filtered_strain = have_option(trim(les_option_path)//"/dynamic_les/tensor_field::FilteredStrainRate")
            have_filter_width = have_option(trim(les_option_path)//"/dynamic_les/tensor_field::FilterWidth")
-           call les_init_diagnostic_fields(state, have_eddy_visc, have_strain, have_filtered_strain, have_filter_width)
+           have_coeff = have_option(trim(les_option_path)//"/dynamic_les/scalar_field::SmagorinskyCoefficient")
+           call les_init_diagnostic_fields(state, have_eddy_visc, have_filter_width, have_coeff)
 
            ! Initialise necessary local fields.
            ewrite(2,*) "Initialising compulsory dynamic LES fields"
-           if(have_option(trim(les_option_path)//"/dynamic_les/vector_field::FilteredVelocity")) then
-             tnu => extract_vector_field(state, "FilteredVelocity")
+           if(have_option(trim(les_option_path)//"/dynamic_les/vector_field::FirstFilteredVelocity")) then
+             fnu => extract_vector_field(state, "FirstFilteredVelocity")
+           else
+             allocate(fnu)
+             call allocate(fnu, u%dim, u%mesh, "FirstFilteredVelocity")
+           end if
+           call zero(fnu)
+           if(have_option(trim(les_option_path)//"/dynamic_les/vector_field::TestFilteredVelocity")) then
+             tnu => extract_vector_field(state, "TestFilteredVelocity")
            else
              allocate(tnu)
-             call allocate(tnu, u%dim, u%mesh, "FilteredVelocity")
+             call allocate(tnu, u%dim, u%mesh, "TestFilteredVelocity")
            end if
            call zero(tnu)
            allocate(leonard)
            call allocate(leonard, u%mesh, "LeonardTensor")
            call zero(leonard)
+           allocate(strainprod)
+           call allocate(strainprod, u%mesh, "StrainProduct")
+           call zero(strainprod)
 
-           ! Get (test filter)/(mesh filter) size ratio alpha. Default value is 2.
+           ! Get (first filter)/(mesh size) ratio alpha. Default value is 2.
            call get_option(trim(les_option_path)//"/dynamic_les/alpha", alpha, default=2.0)
+           ! Get (test filter)/(first filter) size ratio alpha. Default value is 2.
+           call get_option(trim(les_option_path)//"/dynamic_les/gama", gamma, default=2.0)
 
            ! Calculate test-filtered velocity field and Leonard tensor field.
            ewrite(2,*) "Calculating test-filtered velocity and Leonard tensor"
-           call leonard_tensor(nu, x, tnu, leonard, alpha, les_option_path)
+           call leonard_tensor(nu, x, fnu, tnu, leonard, strainprod, alpha, gamma, les_option_path)
 
            ewrite_minmax(leonard)
+           ewrite_minmax(strainprod)
          else
+            fnu => dummyvector
             tnu => dummyvector
             leonard => dummytensor
+            strainprod => dummytensor
          end if
       else
          les_second_order=.false.; les_fourth_order=.false.; wale=.false.; dynamic_les=.false.
-         tnu => dummyvector; leonard => dummytensor
+         fnu => dummyvector; tnu => dummyvector; leonard => dummytensor; strainprod => dummytensor
       end if
       
 
@@ -678,7 +686,7 @@
               density, ct_rhs, &
               source, absorption, buoyancy, gravity, &
               viscosity, grad_u, &
-              tnu, leonard, alpha, &
+              fnu, tnu, leonard, strainprod, alpha, gamma, &
               gp, surfacetension, &
               assemble_ct_matrix_here, depth, &
               alpha_u_field, abs_wd, temperature, nvfrac, &
@@ -815,7 +823,7 @@
       ewrite_minmax(rhs)
       
       if(les_second_order .or. dynamic_les) then
-         call les_solve_diagnostic_fields(state, have_eddy_visc, have_strain, have_filtered_strain, have_filter_width)
+         call les_solve_diagnostic_fields(state, have_eddy_visc, have_filter_width, have_coeff)
       end if
 
       if (les_fourth_order) then
@@ -823,10 +831,14 @@
       end if
 
       if (dynamic_les) then
-        if(.not. have_option(trim(les_option_path)//"/dynamic_les/vector_field::FilteredVelocity")) then
+        if(.not. have_option(trim(les_option_path)//"/dynamic_les/vector_field::FirstFilteredVelocity")) then
           call deallocate(tnu); deallocate(tnu)
         end if
+        if(.not. have_option(trim(les_option_path)//"/dynamic_les/vector_field::TestFilteredVelocity")) then
+          call deallocate(fnu); deallocate(fnu)
+        end if
         call deallocate(leonard); deallocate(leonard)
+        call deallocate(strainprod); deallocate(strainprod)
       end if
 
       call deallocate(dummytensor)
@@ -1115,7 +1127,7 @@
                                             density, ct_rhs, &
                                             source, absorption, buoyancy, gravity, &
                                             viscosity, grad_u, &
-                                            tnu, leonard, alpha, &
+                                            fnu, tnu, leonard, strainprod, alpha, gamma, &
                                             gp, surfacetension, &
                                             assemble_ct_matrix_here, depth, &
                                             alpha_u_field, abs_wd, temperature, nvfrac, supg_shape)
@@ -1143,9 +1155,9 @@
       type(tensor_field), intent(in) :: viscosity, grad_u
 
       ! Fields for Germano Dynamic LES Model
-      type(vector_field), intent(in)    :: tnu
-      type(tensor_field), intent(in)    :: leonard
-      real, intent(in)                  :: alpha
+      type(vector_field), intent(in)    :: fnu, tnu
+      type(tensor_field), intent(in)    :: leonard, strainprod
+      real, intent(in)                  :: alpha, gamma
 
       type(scalar_field), intent(in) :: gp
       type(tensor_field), intent(in) :: surfacetension
@@ -1354,7 +1366,7 @@
       ! Viscous terms
       if(have_viscosity .or. have_les) then
         call add_viscosity_element_cg(state, ele, test_function, u, oldu_val, nu, x, viscosity, grad_u, &
-           tnu, leonard, alpha, du_t, detwei, big_m_tensor_addto, rhs_addto, temperature, density, nvfrac)
+           fnu, tnu, leonard, strainprod, alpha, gamma, du_t, detwei, big_m_tensor_addto, rhs_addto, temperature, density, nvfrac)
       end if
       
       ! Coriolis terms
@@ -1970,7 +1982,7 @@
     end subroutine add_absorption_element_cg
       
     subroutine add_viscosity_element_cg(state, ele, test_function, u, oldu_val, nu, x, viscosity, grad_u, &
-        tnu, leonard, alpha, &
+        fnu, tnu, leonard, strainprod, alpha, gamma, &
          du_t, detwei, big_m_tensor_addto, rhs_addto, temperature, density, nvfrac)
       type(state_type), intent(inout) :: state
       integer, intent(in) :: ele
@@ -1982,15 +1994,17 @@
       type(tensor_field), intent(in) :: grad_u
 
       ! Fields for Germano Dynamic LES Model
-      type(vector_field), intent(in)    :: tnu
-      type(tensor_field), intent(in)    :: leonard
-      real, intent(in)                  :: alpha
+      type(vector_field), intent(in)    :: fnu, tnu
+      type(tensor_field), intent(in)    :: leonard, strainprod
+      real, intent(in)                  :: alpha, gamma
 
       ! Local quantities specific to Germano Dynamic LES Model
-      real                                           :: numerator, denominator
-      real, dimension(x%dim, x%dim, ele_ngi(u,ele))  :: strain_gi, t_strain_gi
+      real, dimension(x%dim, x%dim, ele_ngi(u,ele))  :: strain_gi, t_strain_gi, strainprod_gi
       real, dimension(x%dim, x%dim, ele_ngi(u,ele))  :: mesh_size_gi, leonard_gi
+      real, dimension(x%dim, x%dim, ele_ngi(u,ele))  :: f_tensor, t_tensor
+      real, dimension(x%dim, x%dim)                  :: mij
       real, dimension(ele_ngi(u, ele))               :: strain_mod, t_strain_mod
+      real, dimension(ele_ngi(u, ele))               :: f_scalar, t_scalar
       type(element_type)                             :: shape_nu
       integer, dimension(:), pointer                 :: nodes_nu
 
@@ -2090,8 +2104,8 @@
             ! you can't have 2 different types of LES model for the same material_phase.
             if(have_eddy_visc) then
               call les_assemble_diagnostic_fields(state, u, ele, detwei, &
-                   les_tensor_gi, les_tensor_gi, les_tensor_gi, les_tensor_gi, &
-                 have_eddy_visc, .false., .false., .false.)
+                   les_tensor_gi, les_tensor_gi, les_coef_gi, &
+                 have_eddy_visc, .false., .false.)
             end if
 
          ! Fourth order Smagorinsky model
@@ -2112,77 +2126,60 @@
             nodes_nu => ele_nodes(nu, ele)
             les_tensor_gi=0.0
 
-            ! Get strain S1 for unfiltered velocity (dim,dim,ngi)
-            strain_gi = les_strain_rate(du_t, ele_val(nu, ele))
-            ! Get strain S2 for test-filtered velocity (dim,dim,ngi)
+            ! Get strain S1 for first-filtered velocity
+            strain_gi = les_strain_rate(du_t, ele_val(fnu, ele))
+            ! Get strain S2 for test-filtered velocity
             t_strain_gi = les_strain_rate(du_t, ele_val(tnu, ele))
-            ! Filter width G1 associated with mesh size (units length^2)
+            ! Mesh size (units length^2)
             mesh_size_gi = length_scale_tensor(du_t, ele_shape(u, ele))
-            ! Leonard tensor L at gi
+            ! Leonard tensor and strain product at Gauss points
             leonard_gi = ele_val_at_quad(leonard, ele)
+            strainprod_gi = ele_val_at_quad(strainprod, ele)
 
             do gi=1, ele_ngi(nu, ele)
-              ! Get strain modulus |S1| for unfiltered velocity (ngi)
-              strain_mod(gi) = sqrt( 2*sum(strain_gi(:,:,gi)*strain_gi(:,:,gi) ) )
-              ! Get strain modulus |S2| for test-filtered velocity (ngi)
-              t_strain_mod(gi) = sqrt( 2*sum(t_strain_gi(:,:,gi)*t_strain_gi(:,:,gi) ) )
+               ! Get strain modulus |S1| for first-filtered velocity
+               strain_mod(gi) = sqrt( 2*sum(strain_gi(:,:,gi)*strain_gi(:,:,gi) ) )
+               ! Get strain modulus |S2| for test-filtered velocity
+               t_strain_mod(gi) = sqrt( 2*sum(t_strain_gi(:,:,gi)*t_strain_gi(:,:,gi) ) )
             end do
 
-            ! If sum of strain components = 0, don't use dynamic LES model
-            if(abs(sum(strain_gi(:,:,:))) < epsilon(0.0)) then
-              les_tensor_gi = 0.0
-              t_strain_mod = 0.0
-            else
-              ! Choose original Germano model or Lilly's (1991) modification from options
-              if(.not. have_lilly) then
-                do gi=1, ele_ngi(nu, ele)
-                  ! |S1|*L.S1
-                  numerator = sum( leonard_gi(:,:,gi)*strain_gi(:,:,gi) )*strain_mod(gi)
-
-                  ! alpha^2*|S2|*S2.S1
-                  ! This term is WRONG until I find a way of filtering the strain rate product. The difference may be quite small though.
-                  denominator = -alpha**2*t_strain_mod(gi)*sum(t_strain_gi(:,:,gi)*strain_gi(:,:,gi))
-
-                  ! Dynamic eddy viscosity m_ij = C*S1
-                  les_tensor_gi(:,:,gi) = numerator/denominator
-
-                  ! Whether or not to allow negative eddy viscosity (backscattering)
-                  ! but do not allow (viscosity+eddy_viscosity) < 0.
-                  if(any(les_tensor_gi(:,:,gi) < 0.0)) then
-                    if(backscatter) then
-                      les_tensor_gi(:,:,gi) = max(les_tensor_gi(:,:,gi), epsilon(0.0) - viscosity_gi(:,:,gi))
-                    else
-                      les_tensor_gi(:,:,gi) = max(les_tensor_gi(:,:,gi),0.0)
-                    end if
-                  end if
-                end do
-              else if(have_lilly) then
-                do gi=1, ele_ngi(nu, ele)
-                  ! |S1|*L.S1
-                  numerator = sum(leonard_gi(:,:,gi)*t_strain_gi(:,:,gi))*strain_mod(gi)
-                  ! alpha^2*|S2|^2*S2.S2
-                  ! This term is WRONG until I find a way of filtering the strain rate product. The difference may be quite small though.
-                  denominator = -alpha**2*(t_strain_mod(gi))**2*sum(t_strain_gi(:,:,gi)*t_strain_gi(:,:,gi))
-                  ! Dynamic eddy viscosity m_ij
-                  les_tensor_gi(:,:,gi) = numerator/denominator
-
-                  ! Whether or not to allow negative eddy viscosity (backscattering)
-                  ! but do not allow (viscosity+eddy_viscosity) < 0.
-                  if(any(les_tensor_gi(:,:,gi) < 0.0)) then
-                    if(backscatter) then
-                      les_tensor_gi(:,:,gi) = max(les_tensor_gi(:,:,gi), epsilon(0.0) - viscosity_gi(:,:,gi))
-                    else
-                      les_tensor_gi(:,:,gi) = max(les_tensor_gi(:,:,gi),0.0)
-                    end if
-                  end if
-                end do
-              end if
-            end if
+            select case(length_scale_type)
+               case("scalar")
+                  ! Scalar first filter width G1 = alpha^2*meshsize (units length^2)
+                  f_scalar = alpha**2*length_scale_scalar(x, ele)
+                  ! Combined width G2 = (1+gamma^2)*G1
+                  t_scalar = (1.0+gamma**2)*f_scalar
+                  do gi=1, ele_ngi(nu, ele)
+                    ! Tensor M_ij = (|S2|*S2)G2 - ((|S1|S1)^f2)G1
+                    mij = t_strain_mod(gi)*t_strain_gi(:,:,gi)*t_scalar(gi) - strainprod_gi(:,:,gi)*f_scalar(gi)
+                    ! Model coeff C_S = -(L_ij M_ij) / 2(M_ij M_ij)
+                    les_coef_gi(gi) = -0.5*sum(leonard_gi(:,:,gi)*mij) / sum(mij*mij)
+                    ! Constrain C_S to be between 0 and 0.04.
+                    les_coef_gi(gi) = min(max(les_coef_gi(gi),0.0), 0.04)
+                    ! Isotropic tensor dynamic eddy viscosity = -2C_S|S1|.alpha^2.G1
+                    les_tensor_gi(:,:,gi) = 2*alpha**2*les_coef_gi(gi)*strain_mod(gi)*f_scalar(gi)
+                  end do
+               case("tensor")
+                  ! First filter width G1 = alpha^2*mesh size (units length^2)
+                  f_tensor = alpha**2*mesh_size_gi
+                  ! Combined width G2 = (1+gamma^2)*G1
+                  t_tensor = (1.0+gamma**2)*f_tensor
+                  do gi=1, ele_ngi(nu, ele)
+                    ! Tensor M_ij = (|S2|*S2).G2 - ((|S1|S1)^f2).G1
+                    mij = t_strain_mod(gi)*t_strain_gi(:,:,gi)*t_tensor(:,:,gi) - strainprod_gi(:,:,gi)*f_tensor(:,:,gi)
+                    ! Model coeff C_S = -(L_ij M_ij) / 2(M_ij M_ij)
+                    les_coef_gi(gi) = -0.5*sum(leonard_gi(:,:,gi)*mij) / sum(mij*mij)
+                    ! Constrain C_S to be between 0 and 0.04.
+                    les_coef_gi(gi) = min(max(les_coef_gi(gi),0.0), 0.04)
+                    ! Anisotropic tensor dynamic eddy viscosity m_ij = -2C_S|S1|.alpha^2.G1
+                    les_tensor_gi(:,:,gi) = 2*alpha**2*les_coef_gi(gi)*strain_mod(gi)*f_tensor(:,:,gi)
+                  end do
+            end select
 
             ! Assemble diagnostic fields
             call les_assemble_diagnostic_fields(state, nu, ele, detwei, &
-                 mesh_size_gi, strain_gi, t_strain_gi, les_tensor_gi, &
-                 have_eddy_visc, have_strain, have_filtered_strain, have_filter_width)
+                 mesh_size_gi, les_tensor_gi, les_coef_gi, &
+                 have_eddy_visc, have_filter_width, have_coeff)
 
          else
             FLAbort("Unknown LES model")

=== modified file 'diagnostics/Field_Copies.F90'
--- diagnostics/Field_Copies.F90	2011-08-02 18:43:37 +0000
+++ diagnostics/Field_Copies.F90	2013-04-16 15:27:30 +0000
@@ -52,8 +52,9 @@
   public :: calculate_scalar_copy, calculate_vector_copy, calculate_tensor_copy
   public :: calculate_extract_scalar_component
   public :: calculate_scalar_galerkin_projection, calculate_vector_galerkin_projection
-  public :: calculate_helmholtz_smoothed_scalar, calculate_helmholtz_smoothed_vector
+  public :: calculate_helmholtz_smoothed_scalar, calculate_helmholtz_smoothed_vector, calculate_helmholtz_smoothed_tensor
   public :: calculate_lumped_mass_smoothed_scalar, calculate_lumped_mass_smoothed_vector
+  public :: calculate_lumped_mass_smoothed_tensor
   public :: calculate_helmholtz_anisotropic_smoothed_scalar, calculate_helmholtz_anisotropic_smoothed_vector
   public :: calculate_helmholtz_anisotropic_smoothed_tensor
 
@@ -382,9 +383,8 @@
     type(scalar_field), intent(inout) :: s_field
     
     character(len = OPTION_PATH_LEN) :: path
-    integer, dimension(2) :: alpha_shape
     logical :: allocated
-    real, dimension(:, :), allocatable :: alpha
+    real :: alpha
     type(scalar_field), pointer :: source_field
     type(vector_field), pointer :: positions
     
@@ -394,16 +394,13 @@
     positions => extract_vector_field(state, "Coordinate")
     
     path = trim(complete_field_path(s_field%option_path)) // "/algorithm"
-    alpha_shape = option_shape(trim(path) // "/smoothing_length_scale")
-    allocate(alpha(alpha_shape(1), alpha_shape(2)))
-    call get_option(trim(path) // "/smoothing_length_scale", alpha)
+    call get_option(trim(path) // "/smoothing_scale_factor", alpha)
     ewrite(2, *) "alpha = ", alpha
     
     ewrite_minmax(source_field)
     call smooth_scalar(source_field, positions, s_field, alpha, path)
     ewrite_minmax(s_field)
     
-    deallocate(alpha)
     if(allocated) deallocate(source_field)
     
     ewrite(1, *) "Exiting calculate_helmholtz_smoothed_scalar"
@@ -415,8 +412,7 @@
     type(vector_field), intent(inout) :: v_field
     
     character(len = OPTION_PATH_LEN) :: path
-    integer, dimension(2) :: alpha_shape
-    real, dimension(:, :), allocatable :: alpha
+    real :: alpha
     type(vector_field), pointer :: source_field, positions
     
     ewrite(1, *) "In calculate_helmholtz_smoothed_vector"
@@ -425,41 +421,62 @@
     positions => extract_vector_field(state, "Coordinate")
     
     path = trim(complete_field_path(v_field%option_path)) // "/algorithm"
-    alpha_shape = option_shape(trim(path) // "/smoothing_length_scale")
-    allocate(alpha(alpha_shape(1), alpha_shape(2)))
-    call get_option(trim(path) // "/smoothing_length_scale", alpha)
+    call get_option(trim(path) // "/smoothing_scale_factor", alpha)
     ewrite(2, *) "alpha = ", alpha
     
     call smooth_vector(source_field, positions, v_field, alpha, path)
     ewrite_minmax(v_field)
-    
-    deallocate(alpha)
    
     ewrite(1, *) "Exiting calculate_helmholtz_smoothed_vector"
     
   end subroutine calculate_helmholtz_smoothed_vector
 
+  subroutine calculate_helmholtz_smoothed_tensor(state, t_field)
+    type(state_type), intent(in) :: state
+    type(tensor_field), intent(inout) :: t_field
+    
+    character(len = OPTION_PATH_LEN) :: path
+    logical :: allocated
+    real :: alpha
+    type(vector_field), pointer :: positions
+    type(tensor_field), pointer :: source_field
+
+    ewrite(1, *) "In calculate_helmholtz_smoothed_tensor"
+
+    positions => extract_vector_field(state, "Coordinate")
+    source_field => tensor_source_field(state, t_field)
+
+    path = trim(complete_field_path(t_field%option_path)) // "/algorithm"
+    call get_option(trim(path) // "/smoothing_scale_factor", alpha)
+    ewrite(2, *) "alpha = ", alpha
+    call smooth_tensor(source_field, positions, t_field, alpha, path)
+
+    ewrite_minmax(source_field)
+    ewrite_minmax(t_field)
+    
+    ewrite(1, *) "Exiting calculate_helmholtz_smoothed_tensor"
+    
+  end subroutine calculate_helmholtz_smoothed_tensor
+
   subroutine calculate_helmholtz_anisotropic_smoothed_scalar(state, s_field)
     type(state_type), intent(in) :: state
     type(scalar_field), intent(inout) :: s_field
     
     character(len = OPTION_PATH_LEN) :: path
     logical :: allocated
-    ! NOT a tensor here. Alpha is a scaling constant for the mesh size tensor.
     real :: alpha
     type(scalar_field), pointer :: source_field
-    type(vector_field), pointer :: positions, velocity
+    type(vector_field), pointer :: positions
 
     ewrite(1, *) "In calculate_helmholtz_anisotropic_smoothed_scalar"
 
     positions => extract_vector_field(state, "Coordinate")
-    velocity  => extract_vector_field(state, "Velocity")
     source_field => scalar_source_field(state, s_field, allocated = allocated)
 
     path = trim(complete_field_path(s_field%option_path)) // "/algorithm"
-    call get_option(trim(path) // "/smoothing_length_scale", alpha)
+    call get_option(trim(path) // "/smoothing_scale_factor", alpha)
     ewrite(2, *) "alpha = ", alpha
-    call anisotropic_smooth_scalar(source_field, positions, velocity, s_field, alpha, path)
+    call anisotropic_smooth_scalar(source_field, positions, s_field, alpha, path)
 
     ewrite_minmax(source_field)
     ewrite_minmax(s_field)
@@ -475,7 +492,6 @@
     type(vector_field), intent(inout) :: v_field
     
     character(len = OPTION_PATH_LEN) :: path
-    ! NOT a tensor here. Alpha is a scaling constant for the mesh size tensor.
     real :: alpha
     type(vector_field), pointer :: positions, source_field
 
@@ -485,7 +501,7 @@
     source_field => vector_source_field(state, v_field)
 
     path = trim(complete_field_path(v_field%option_path)) // "/algorithm"
-    call get_option(trim(path) // "/smoothing_length_scale", alpha)
+    call get_option(trim(path) // "/smoothing_scale_factor", alpha)
     ewrite(2, *) "alpha = ", alpha
     call anisotropic_smooth_vector(source_field, positions, v_field, alpha, path)
 
@@ -501,7 +517,6 @@
     type(tensor_field), intent(inout) :: t_field
     
     character(len = OPTION_PATH_LEN) :: path
-    ! NOT a tensor here. Alpha is a scaling constant for the mesh size tensor.
     real :: alpha
     type(vector_field), pointer :: positions
     type(tensor_field), pointer :: source_field
@@ -512,7 +527,7 @@
     source_field => tensor_source_field(state, t_field)
 
     path = trim(complete_field_path(t_field%option_path)) // "/algorithm"
-    call get_option(trim(path) // "/smoothing_length_scale", alpha)
+    call get_option(trim(path) // "/smoothing_scale_factor", alpha)
     ewrite(2, *) "alpha = ", alpha
     call anisotropic_smooth_tensor(source_field, positions, t_field, alpha, path)
 
@@ -576,4 +591,32 @@
 
   end subroutine calculate_lumped_mass_smoothed_vector
 
+  subroutine calculate_lumped_mass_smoothed_tensor(state, t_field)
+
+    type(state_type), intent(inout) :: state
+    type(tensor_field), intent(inout) :: t_field
+    type(tensor_field), pointer :: source_field
+    type(scalar_field), pointer :: lumpedmass
+    type(scalar_field) :: inverse_lumpedmass
+    type(csr_matrix), pointer :: mass
+    
+    ewrite(1, *) "In calculate_lumped_mass_smoothed_tensor"
+    
+    source_field => tensor_source_field(state, t_field)
+
+    ! Apply smoothing filter
+    call allocate(inverse_lumpedmass, source_field%mesh, "InverseLumpedMass")
+    mass => get_mass_matrix(state, source_field%mesh)
+    lumpedmass => get_lumped_mass(state, source_field%mesh)
+    call invert(lumpedmass, inverse_lumpedmass)
+    ! IS IT POSSIBLE TO MULTIPLY CSR_MATRIX BY TENSOR FIELD?
+    ! SEE Sparse_Matrices_Fields/csr_mult_vector_vector
+    !call mult( t_field, mass, source_field)
+    call scale(t_field, inverse_lumpedmass) ! the averaging operator is [inv(ML)*M*]
+    call deallocate(inverse_lumpedmass)
+
+    ewrite(1, *) "Exiting calculate_lumped_mass_smoothed_tensor"
+
+  end subroutine calculate_lumped_mass_smoothed_tensor
+
 end module field_copies_diagnostics

=== modified file 'diagnostics/Simple_Diagnostics.F90'
--- diagnostics/Simple_Diagnostics.F90	2012-12-06 20:12:28 +0000
+++ diagnostics/Simple_Diagnostics.F90	2013-04-16 15:27:30 +0000
@@ -400,7 +400,7 @@
     do i = 1, option_count("/geometry/mesh")
       if(have_option("/geometry/mesh["//int2str(i)//"]/from_file/file_name")) then
         call get_option("/geometry/mesh["//int2str(i)//"]/from_file/file_name", filename, stat)
-        ewrite(2,*) "mesh from file: ", filename
+        ewrite(2,*) "mesh from file: ", trim(filename)
       end if
     end do
     if (stat /= 0) return
@@ -433,7 +433,7 @@
     do i = 1, option_count("/geometry/mesh")
       if(have_option("/geometry/mesh["//int2str(i)//"]/from_file/file_name")) then
         call get_option("/geometry/mesh["//int2str(i)//"]/from_file/file_name", filename , stat)
-        ewrite(2,*) "mesh from file: ", filename
+        ewrite(2,*) "mesh from file: ", trim(filename)
       end if
     end do
     if (stat /= 0) return
@@ -466,7 +466,7 @@
     do i = 1, option_count("/geometry/mesh")
       if(have_option("/geometry/mesh["//int2str(i)//"]/from_file/file_name")) then
         call get_option("/geometry/mesh["//int2str(i)//"]/from_file/file_name", filename, stat)
-        ewrite(2,*) "mesh from file: ", filename
+        ewrite(2,*) "mesh from file: ", trim(filename)
       end if
     end do
     if (stat /= 0) return

=== modified file 'error_measures/Field_preprocessing.F90'
--- error_measures/Field_preprocessing.F90	2009-12-16 14:11:47 +0000
+++ error_measures/Field_preprocessing.F90	2013-04-16 15:27:30 +0000
@@ -42,11 +42,11 @@
       type(scalar_field), intent(inout) :: field_in
       type(vector_field), intent(in) :: positions
       type(scalar_field), intent(out) :: field_out
-      real, dimension(positions%dim, positions%dim) :: alpha
+      real :: alpha
       character(len=OPTION_PATH_LEN) :: path
 
       call get_option(trim(complete_field_path(trim(field_in%option_path))) &
-               & // "/adaptivity_options/preprocessing/helmholtz_smoother/smoothing_length_scale", alpha)
+               & // "/adaptivity_options/preprocessing/helmholtz_smoother/smoothing_scale_factor", alpha)
 
       call allocate(field_out, field_in%mesh, "Smoothed" // trim(field_in%name))
       call zero(field_out)

=== modified file 'examples/backward_facing_step_2d/backward_facing_step_2d.xml'
--- examples/backward_facing_step_2d/backward_facing_step_2d.xml	2012-11-08 17:26:18 +0000
+++ examples/backward_facing_step_2d/backward_facing_step_2d.xml	2013-04-16 15:27:30 +0000
@@ -17,9 +17,7 @@
 from postprocessor_2d import reattachment_length, get_filelist
 import numpy, os
 os.chdir('./reference/')
-yarray = numpy.array([0.1, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 3.9])
-exclude_initial_results = 45
-filelist = get_filelist(20, 40)
+filelist = get_filelist(10,40)
 reference_reattachment_length = numpy.array(reattachment_length(filelist))
 os.chdir('../')
     </variable>
@@ -27,23 +25,27 @@
 from postprocessor_2d import reattachment_length, get_filelist
 import numpy, os
 os.chdir('./kepsilon/')
-yarray = numpy.array([0.1, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 3.9])
-exclude_initial_results = 45
-filelist = get_filelist(20, 40)
+filelist = get_filelist(10,40)
 kepsilon_reattachment_length = numpy.array(reattachment_length(filelist))
 os.chdir('../')
     </variable>
   </variables>
   <pass_tests>
-    <test name="reference_finish_time" language="python">assert reference_finishtime &gt; 50.0</test>
-    <test name="kepsilon_finish_time" language="python">assert kepsilon_finishtime &gt; 50.0</test>
-    <test name="reference reattachment length does not change by more than 20%" language="python">
-        print ( ( max(reference_reattachment_length[:,0]) - min(reference_reattachment_length[:,0]) ) / min(reference_reattachment_length[:,0]) )
-assert( ( max(reference_reattachment_length[:,0]) - min(reference_reattachment_length[:,0]) ) / min(reference_reattachment_length[:,0]) &lt; 0.2)
-    </test>
-    <test name="kepsilon reattachment length does not change by more than 20%" language="python">
-        print ( ( max(kepsilon_reattachment_length[:,0]) - min(kepsilon_reattachment_length[:,0]) ) / min(kepsilon_reattachment_length[:,0]) )
-assert( ( max(kepsilon_reattachment_length[:,0]) - min(kepsilon_reattachment_length[:,0]) ) / min(kepsilon_reattachment_length[:,0]) &lt; 0.2)
+    <test name="reference_finish_time" language="python">assert reference_finishtime &gt; 100.0</test>
+    <test name="kepsilon_finish_time" language="python">assert kepsilon_finishtime &gt; 100.0</test>
+    <test name="reference reattachment length is 2.7" language="python">
+assert(reference_reattachment_length[-1,0] - 2.7 &lt; 0.1)
+    </test>
+    <test name="kepsilon reattachment length is within 1% of experimental value" language="python">
+assert((kepsilon_reattachment_length[-1,0]-7.0)/7.0 &lt; 0.01)
+    </test>
+    <test name="reference reattachment length converges with accuracy 1%" language="python">
+print reference_reattachment_length[-1,0]/reference_reattachment_length[-2,0]-1.0
+assert(reference_reattachment_length[-1,0]/reference_reattachment_length[-2,0]-1.0 &lt; 0.01)
+    </test>
+    <test name="kepsilon reattachment length converges with accuracy 0.1%" language="python">
+print kepsilon_reattachment_length[-1,0]/kepsilon_reattachment_length[-2,0]-1.0
+assert(kepsilon_reattachment_length[-1,0]/kepsilon_reattachment_length[-2,0]-1.0 &lt; 0.001)
     </test>
   </pass_tests>
   <warn_tests/>

=== modified file 'examples/backward_facing_step_2d/backward_facing_step_2d_kim_kepsilon.flml'
--- examples/backward_facing_step_2d/backward_facing_step_2d_kim_kepsilon.flml	2012-11-12 12:25:54 +0000
+++ examples/backward_facing_step_2d/backward_facing_step_2d_kim_kepsilon.flml	2013-04-16 15:27:30 +0000
@@ -46,7 +46,7 @@
     </dump_format>
     <dump_period_in_timesteps>
       <constant>
-        <integer_value rank="0">10</integer_value>
+        <integer_value rank="0">50</integer_value>
       </constant>
     </dump_period_in_timesteps>
     <output_mesh name="CoordinateMesh"/>
@@ -60,14 +60,22 @@
       <real_value rank="0">0.01</real_value>
     </timestep>
     <finish_time>
-      <real_value rank="0">300.0</real_value>
+      <real_value rank="0">200.0</real_value>
     </finish_time>
     <nonlinear_iterations>
       <integer_value rank="0">2</integer_value>
     </nonlinear_iterations>
+    <adaptive_timestep>
+      <requested_cfl>
+        <real_value rank="0">2.0</real_value>
+      </requested_cfl>
+      <courant_number name="CFLNumber">
+        <mesh name="VelocityMesh"/>
+      </courant_number>
+    </adaptive_timestep>
     <steady_state>
       <tolerance>
-        <real_value rank="0">1.e-4</real_value>
+        <real_value rank="0">1.e-5</real_value>
         <infinity_norm/>
       </tolerance>
       <steady_state_file>
@@ -103,7 +111,7 @@
             </spatial_discretisation>
             <temporal_discretisation>
               <theta>
-                <real_value rank="0">1.0</real_value>
+                <real_value rank="0">0.5</real_value>
               </theta>
               <control_volumes>
                 <number_advection_iterations>
@@ -219,7 +227,7 @@
             </spatial_discretisation>
             <temporal_discretisation>
               <theta>
-                <real_value rank="0">1.0</real_value>
+                <real_value rank="0">0.5</real_value>
               </theta>
               <control_volumes>
                 <number_advection_iterations>
@@ -491,7 +499,7 @@
           <exclude_from_detectors/>
         </detectors>
         <steady_state>
-          <include_in_steady_state/>
+          <exclude_from_steady_state/>
         </steady_state>
         <no_interpolation/>
       </prognostic>
@@ -557,17 +565,15 @@
               <x_component>
                 <python>
                   <string_value lines="20" type="code" language="python">def val(X, t):
-   from math import log
    Z=X[1]-1.0
    if X[1]&gt;2.0:
      Z=3.0-X[1]
    d=0.1
-   if Z&gt;=d:
-      u=log(Z/d)
+   if Z&lt;=d:
+      u=2.3*Z/d
    else:
-      u=0.0
+      u=2.3
    return u</string_value>
-                  <comment>max velocity = 2.3</comment>
                 </python>
               </x_component>
               <y_component>
@@ -623,13 +629,13 @@
               <exclude_from_stat/>
             </stat>
             <convergence>
-              <include_in_convergence/>
+              <exclude_from_convergence/>
             </convergence>
             <detectors>
-              <include_in_detectors/>
+              <exclude_from_detectors/>
             </detectors>
             <steady_state>
-              <include_in_steady_state/>
+              <exclude_from_steady_state/>
             </steady_state>
           </diagnostic>
         </vector_field>
@@ -662,15 +668,95 @@
         <output/>
         <stat/>
         <convergence>
-          <include_in_convergence/>
-        </convergence>
-        <detectors>
-          <include_in_detectors/>
-        </detectors>
-        <steady_state>
-          <exclude_from_steady_state/>
-        </steady_state>
-      </diagnostic>
-    </scalar_field>
+          <exclude_from_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <exclude_from_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </scalar_field>
+    <scalar_field name="AveragePressure" rank="0">
+      <diagnostic>
+        <algorithm source_field_type="scalar" material_phase_support="single" name="time_averaged_scalar" source_field_name="Pressure">
+          <spin_up_time>
+            <real_value rank="0">50</real_value>
+          </spin_up_time>
+        </algorithm>
+        <mesh name="VelocityMesh"/>
+        <output/>
+        <stat/>
+        <convergence>
+          <include_in_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <include_in_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </scalar_field>
+    <scalar_field name="FluctuatingPressure" rank="0">
+      <diagnostic>
+        <algorithm source_field_2_type="scalar" name="scalar_difference" source_field_1_name="Pressure" source_field_2_name="AveragePressure" material_phase_support="single" source_field_1_type="scalar"/>
+        <mesh name="VelocityMesh"/>
+        <output/>
+        <stat/>
+        <convergence>
+          <exclude_from_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <exclude_from_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </scalar_field>
+    <vector_field name="AverageVelocity" rank="1">
+      <diagnostic>
+        <algorithm source_field_type="vector" material_phase_support="single" name="time_averaged_vector" source_field_name="Velocity">
+          <spin_up_time>
+            <real_value rank="0">50</real_value>
+          </spin_up_time>
+        </algorithm>
+        <mesh name="VelocityMesh"/>
+        <output/>
+        <stat>
+          <include_in_stat/>
+        </stat>
+        <convergence>
+          <include_in_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <include_in_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </vector_field>
+    <vector_field name="FluctuatingVelocity" rank="1">
+      <diagnostic>
+        <algorithm source_field_2_type="vector" name="vector_difference" source_field_1_name="Velocity" source_field_2_name="AverageVelocity" material_phase_support="single" source_field_1_type="vector"/>
+        <mesh name="VelocityMesh"/>
+        <output/>
+        <stat>
+          <include_in_stat/>
+        </stat>
+        <convergence>
+          <exclude_from_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <exclude_from_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </vector_field>
   </material_phase>
 </fluidity_options>

=== modified file 'examples/backward_facing_step_2d/backward_facing_step_2d_kim_reference.flml'
--- examples/backward_facing_step_2d/backward_facing_step_2d_kim_reference.flml	2012-11-05 14:05:32 +0000
+++ examples/backward_facing_step_2d/backward_facing_step_2d_kim_reference.flml	2013-04-16 15:27:30 +0000
@@ -46,7 +46,7 @@
     </dump_format>
     <dump_period_in_timesteps>
       <constant>
-        <integer_value rank="0">10</integer_value>
+        <integer_value rank="0">50</integer_value>
       </constant>
     </dump_period_in_timesteps>
     <output_mesh name="CoordinateMesh"/>
@@ -60,28 +60,19 @@
       <real_value rank="0">0.01</real_value>
     </timestep>
     <finish_time>
-      <real_value rank="0">300.0</real_value>
+      <real_value rank="0">200.0</real_value>
     </finish_time>
     <nonlinear_iterations>
       <integer_value rank="0">2</integer_value>
     </nonlinear_iterations>
     <adaptive_timestep>
       <requested_cfl>
-        <real_value rank="0">1.0</real_value>
+        <real_value rank="0">2.0</real_value>
       </requested_cfl>
       <courant_number name="CFLNumber">
         <mesh name="VelocityMesh"/>
       </courant_number>
     </adaptive_timestep>
-    <steady_state>
-      <tolerance>
-        <real_value rank="0">1.e-5</real_value>
-        <infinity_norm/>
-      </tolerance>
-      <steady_state_file>
-        <plain_text_output/>
-      </steady_state_file>
-    </steady_state>
   </timestepping>
   <material_phase name="Fluid">
     <scalar_field name="Pressure" rank="0">
@@ -131,7 +122,7 @@
           <exclude_from_detectors/>
         </detectors>
         <steady_state>
-          <include_in_steady_state/>
+          <exclude_from_steady_state/>
         </steady_state>
         <no_interpolation/>
       </prognostic>
@@ -197,17 +188,15 @@
               <x_component>
                 <python>
                   <string_value lines="20" type="code" language="python">def val(X, t):
-   from math import log
    Z=X[1]-1.0
    if X[1]&gt;2.0:
      Z=3.0-X[1]
    d=0.1
-   if Z&gt;=d:
-      u=log(Z/d)
+   if Z&lt;=d:
+      u=2.3*Z/d
    else:
-      u=0.0
+      u=2.3
    return u</string_value>
-                  <comment>max velocity = 2.3</comment>
                 </python>
               </x_component>
               <y_component>
@@ -222,19 +211,24 @@
           <surface_ids>
             <integer_value shape="2" rank="1">10 12</integer_value>
           </surface_ids>
+          <type name="log_law_of_wall">
+            <surface_roughness>
+              <real_value rank="0">1.e-6</real_value>
+            </surface_roughness>
+          </type>
+        </boundary_conditions>
+        <boundary_conditions name="no_normal">
+          <surface_ids>
+            <integer_value shape="2" rank="1">10 12</integer_value>
+          </surface_ids>
           <type name="dirichlet">
-            <align_bc_with_cartesian>
-              <x_component>
-                <constant>
-                  <real_value rank="0">0.0</real_value>
-                </constant>
-              </x_component>
-              <y_component>
-                <constant>
-                  <real_value rank="0">0.0</real_value>
-                </constant>
-              </y_component>
-            </align_bc_with_cartesian>
+            <align_bc_with_surface>
+              <normal_component>
+                <constant>
+                  <real_value rank="0">0.</real_value>
+                </constant>
+              </normal_component>
+            </align_bc_with_surface>
           </type>
         </boundary_conditions>
         <tensor_field name="Viscosity" rank="2">
@@ -242,7 +236,7 @@
             <value name="WholeMesh">
               <isotropic>
                 <constant>
-                  <real_value rank="0">1.24e-4</real_value>
+                  <real_value rank="0">1.74e-5</real_value>
                 </constant>
               </isotropic>
             </value>
@@ -265,7 +259,7 @@
             </value>
             <output/>
             <stat>
-              <include_in_stat/>
+              <exclude_from_stat/>
             </stat>
             <detectors>
               <exclude_from_detectors/>
@@ -290,7 +284,7 @@
           <include_in_detectors/>
         </detectors>
         <steady_state>
-          <include_in_steady_state/>
+          <exclude_from_steady_state/>
         </steady_state>
         <consistent_interpolation/>
       </prognostic>
@@ -302,15 +296,95 @@
         <output/>
         <stat/>
         <convergence>
-          <include_in_convergence/>
-        </convergence>
-        <detectors>
-          <include_in_detectors/>
-        </detectors>
-        <steady_state>
-          <exclude_from_steady_state/>
-        </steady_state>
-      </diagnostic>
-    </scalar_field>
+          <exclude_from_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <exclude_from_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </scalar_field>
+    <scalar_field name="AveragePressure" rank="0">
+      <diagnostic>
+        <algorithm source_field_type="scalar" material_phase_support="single" name="time_averaged_scalar" source_field_name="Pressure">
+          <spin_up_time>
+            <real_value rank="0">50</real_value>
+          </spin_up_time>
+        </algorithm>
+        <mesh name="VelocityMesh"/>
+        <output/>
+        <stat/>
+        <convergence>
+          <include_in_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <include_in_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </scalar_field>
+    <scalar_field name="FluctuatingPressure" rank="0">
+      <diagnostic>
+        <algorithm source_field_2_type="scalar" name="scalar_difference" source_field_1_name="Pressure" source_field_2_name="AveragePressure" material_phase_support="single" source_field_1_type="scalar"/>
+        <mesh name="VelocityMesh"/>
+        <output/>
+        <stat/>
+        <convergence>
+          <exclude_from_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <exclude_from_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </scalar_field>
+    <vector_field name="AverageVelocity" rank="1">
+      <diagnostic>
+        <algorithm source_field_type="vector" material_phase_support="single" name="time_averaged_vector" source_field_name="Velocity">
+          <spin_up_time>
+            <real_value rank="0">50</real_value>
+          </spin_up_time>
+        </algorithm>
+        <mesh name="VelocityMesh"/>
+        <output/>
+        <stat>
+          <include_in_stat/>
+        </stat>
+        <convergence>
+          <include_in_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <include_in_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </vector_field>
+    <vector_field name="FluctuatingVelocity" rank="1">
+      <diagnostic>
+        <algorithm source_field_2_type="vector" name="vector_difference" source_field_1_name="Velocity" source_field_2_name="AverageVelocity" material_phase_support="single" source_field_1_type="vector"/>
+        <mesh name="VelocityMesh"/>
+        <output/>
+        <stat>
+          <include_in_stat/>
+        </stat>
+        <convergence>
+          <exclude_from_convergence/>
+        </convergence>
+        <detectors>
+          <include_in_detectors/>
+        </detectors>
+        <steady_state>
+          <exclude_from_steady_state/>
+        </steady_state>
+      </diagnostic>
+    </vector_field>
   </material_phase>
 </fluidity_options>

=== modified file 'examples/backward_facing_step_2d/postprocessor_2d.py'
--- examples/backward_facing_step_2d/postprocessor_2d.py	2012-11-05 14:05:32 +0000
+++ examples/backward_facing_step_2d/postprocessor_2d.py	2013-04-16 15:27:30 +0000
@@ -5,7 +5,9 @@
 import os
 import vtktools
 import numpy
+import pylab
 import re
+from matplotlib import rc
 
 def get_filelist(sample, start):
 
@@ -100,7 +102,7 @@
     pts = numpy.array(pts)
 
     ##### Get x-velocity on bottom boundary
-    uvw = datafile.ProbeData(pts, "Velocity")
+    uvw = datafile.ProbeData(pts, "AverageVelocity")
     u = []
     u = uvw[:,0]
     points = 0.0
@@ -111,11 +113,12 @@
       if((u[i] / u[i+1]) < 0. and u[i+1] > 0. and not numpy.isinf(u[i] / u[i+1])):
         ##### interpolate between nodes. Correct for origin not at step.
         p = pts[i][0] + (pts[i+1][0]-pts[i][0]) * (0.0-u[i]) / (u[i+1]-u[i]) -5.0
+        print 'p ', p
         ##### Ignore spurious corner points
-        if(p>0.5):
+        if(p>2):
           points = p
-        ##### We have our first point on this plane so...
-        break
+          ##### We have our first point on this plane so...
+          break
     print "reattachment point found at: ", points
 
     ##### Append actual reattachment point and time:
@@ -126,13 +129,9 @@
 #########################################################################
 
 # Velocity profiles:
-def meanvelo(filelist,x,y):
+def meanvelo(file,x,y):
 
   print "\nRunning velocity profile script on files at times...\n"
-  ##### check for no files
-  if (len(filelist) < 0):
-    print "No files!"
-    sys.exit(1)
 
   ##### create array of points. Correct for origin not at step.
   pts=[]
@@ -141,37 +140,29 @@
       pts.append([x[i]+5.0, y[j], 0.0])
 
   pts=numpy.array(pts)
-  ##### Create output array of correct shape
-  profiles=numpy.zeros([len(filelist), x.size, y.size], float)
-  time = numpy.zeros([len(filelist)], float)
-
-  filecount = 0
-  for file in filelist:
-      datafile = vtktools.vtu(file)
-      # Get time
-      t = min(datafile.GetScalarField("Time"))
-      print file, ', elapsed time = ', t
-      time[filecount] = t
-
-      ##### Get x-velocity
-      uvw = datafile.ProbeData(pts, "Velocity")
-      #umax = max(abs(datafile.GetVectorField("Velocity")[:,0]))
-      u = uvw[:,0]
-      u=u.reshape([x.size,y.size])
-      profiles[filecount,:,:] = u
-      filecount += 1
+  profiles=numpy.zeros([x.size, y.size], float)
+
+  datafile = vtktools.vtu(file)
+
+  ##### Get x-velocity
+  uvw = datafile.ProbeData(pts, "AverageVelocity")
+  u = uvw[:,0]
+  u=u.reshape([x.size,y.size])
+  for i in range(len(x)):
+    umax = max(u[i,:])
+    u[i,:] = u[i,:]/umax
+  profiles[:,:] = u
 
   print "\n...Finished writing data files.\n"
-  return profiles, time
+  return profiles
 
 #########################################################################
 
 def plot_length(type,reattachment_length):
-  import pylab
   ##### Plot time series of reattachment length using pylab(matplotlib)
   ##### Kim's (1978) experimental result, Re=132000
   kim = numpy.zeros([len(reattachment_length[:,1])])
-  kim[:]=6.99
+  kim[:]=7.0
   ##### Ilinca's (1997) best numerical result (adaptive mesh 2, 6960 points)
   ilinca = numpy.zeros([len(reattachment_length[:,1])])
   ilinca[:]=6.21
@@ -184,14 +175,15 @@
   pylab.plot(reattachment_length[:,1], kim, linestyle="solid",color='black')
   pylab.plot(reattachment_length[:,1], ilinca, linestyle="solid",color='red')
   pylab.legend(("Fluidity","Kim expt.","Ilinca sim."), loc="best")
+  rlmax = max(reattachment_length[:,0])
+  pylab.axis([0, reattachment_length[-1,1], 0, max(kim[-1],rlmax)+0.1])
   pylab.savefig("../reattachment_length_kim_"+str(type)+".pdf")
   return
 
-def plot_meanvelo(type,profiles,xarray,yarray,time):
-  import pylab
+#########################################################################
+
+def plot_meanvelo(type,profiles,xarray,yarray):
   ##### Plot evolution of velocity profiles at different points behind step
-  plot1 = pylab.figure(figsize = (20.0, 8.5))
-  pylab.suptitle("Evolution of U-velocity: Re=132000, "+str(type), fontsize=20)
 
   # get profiles from Ilinca's experimental/numerical data
   datafile = open('../Ilinca-data/Ilinca-U-expt-1.33.dat', 'r')
@@ -259,21 +251,28 @@
     Un16.append(float(line.split()[0]))
     yn16.append(float(line.split()[1]))
 
+  plot1 = pylab.figure(figsize = (20, 8))
+  pylab.suptitle("U-velocity profile: Re=132000, "+str(type), fontsize=20)
+
   size = 15
   ax = pylab.subplot(151)
   leg_end = []
 
-  for i in range(len(time)):
-    if(i==len(time)-1):
-      ax.plot(profiles[i,0,:]/max(profiles[i,0,:]),yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=6, markeredgecolor='black', )
-    else:
-      ax.plot(profiles[i,0,:]/max(profiles[i,0,:]),yarray, linestyle="dashed")
-    leg_end.append("%.1f secs"%time[i])
+  ax.plot(profiles[0,:],yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=8, markeredgecolor='black')
+  ax.plot(U1,y1, linestyle='none',color='black', marker = 'x', markerfacecolor='black', markersize=8)
+  ax.plot(Un1,yn1, linestyle="solid",color="red")
+
+  leg_end.append("Fluidity")
   leg_end.append("Kim expt.")
   leg_end.append("Ilinca sim.")
-  ax.plot(U1,y1, linestyle="solid",color="black")
-  ax.plot(Un1,yn1, linestyle="solid",color="red")
-  pylab.legend((leg_end), loc="upper left")
+  pylab.legend((leg_end), loc="lower right")
+  leg = pylab.gca().get_legend()
+  ltext = leg.get_texts()
+  pylab.setp(ltext, fontsize = 18, color = 'black')
+  frame=leg.get_frame()
+  frame.set_fill(False)
+  frame.set_visible(False)
+
   ax.set_title('(a) x/h='+str(xarray[0]), fontsize=16)
   for tick in ax.xaxis.get_major_ticks():
     tick.label1.set_fontsize(size)
@@ -281,12 +280,8 @@
     tick.label1.set_fontsize(size)
 
   bx = pylab.subplot(152, sharex=ax, sharey=ax)
-  for i in range(len(time)):
-    if(i==len(time)-1):
-      bx.plot(profiles[i,1,:]/max(profiles[i,1,:]),yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=6, markeredgecolor='black', )
-    else:
-      bx.plot(profiles[i,1,:]/max(profiles[i,1,:]),yarray, linestyle="dashed")
-  bx.plot(U3,y3, linestyle="solid",color='black')
+  bx.plot(profiles[1,:],yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=8, markeredgecolor='black')
+  bx.plot(U3,y3, linestyle='none',color='black', marker = 'x', markerfacecolor='black', markersize=8)
   bx.plot(Un3,yn3, linestyle="solid",color='red')
   bx.set_title('(b) x/h='+str(xarray[1]), fontsize=16)
   for tick in bx.xaxis.get_major_ticks():
@@ -294,13 +289,8 @@
   pylab.setp(bx.get_yticklabels(), visible=False)
 
   cx = pylab.subplot(153, sharex=ax, sharey=ax)
-  shift=0.0
-  for i in range(len(time)):
-    if(i==len(time)-1):
-      cx.plot(profiles[i,2,:]/max(profiles[i,2,:]),yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=6, markeredgecolor='black', )
-    else:
-      cx.plot(profiles[i,2,:]/max(profiles[i,2,:]),yarray, linestyle="dashed")
-  cx.plot(U5,y5, linestyle="solid",color='black')
+  cx.plot(profiles[2,:],yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=8, markeredgecolor='black')
+  cx.plot(U5,y5, linestyle='none',color='black', marker = 'x', markerfacecolor='black', markersize=8)
   cx.plot(Un5,yn5, linestyle="solid",color='red')
   cx.set_title('(c) x/h='+str(xarray[2]), fontsize=16)
   for tick in cx.xaxis.get_major_ticks():
@@ -308,13 +298,8 @@
   pylab.setp(cx.get_yticklabels(), visible=False)
 
   dx = pylab.subplot(154, sharex=ax, sharey=ax)
-  shift=0.0
-  for i in range(len(time)):
-    if(i==len(time)-1):
-      dx.plot(profiles[i,3,:]/max(profiles[i,3,:]),yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=6, markeredgecolor='black', )
-    else:
-      dx.plot(profiles[i,3,:]/max(profiles[i,3,:]),yarray, linestyle="dashed")
-  dx.plot(U8,y8, linestyle="solid",color='black')
+  dx.plot(profiles[3,:],yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=8, markeredgecolor='black')
+  dx.plot(U8,y8, linestyle='none',color='black', marker = 'x', markerfacecolor='black', markersize=8)
   dx.plot(Un8,yn8, linestyle="solid",color='red')
   dx.set_title('(d) x/h='+str(xarray[3]), fontsize=16)
   for tick in dx.xaxis.get_major_ticks():
@@ -322,22 +307,17 @@
   pylab.setp(dx.get_yticklabels(), visible=False)
 
   ex = pylab.subplot(155, sharex=ax, sharey=ax)
-  shift=0.0
-  for i in range(len(time)):
-    if(i==len(time)-1):
-      ex.plot(profiles[i,4,:]/max(profiles[i,4,:]),yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=6, markeredgecolor='black', )
-    else:
-      ex.plot(profiles[i,4,:]/max(profiles[i,4,:]),yarray, linestyle="dashed")
-  ex.plot(U16,y16, linestyle="solid",color='black')
+  ex.plot(profiles[4,:],yarray, linestyle="solid",color='blue', marker = 'o', markerfacecolor='white', markersize=8, markeredgecolor='black')
+  ex.plot(U16,y16, linestyle='none',color='black', marker = 'x', markerfacecolor='black', markersize=8)
   ex.plot(Un16,yn16, linestyle="solid",color='red')
   ex.set_title('(e) x/h='+str(xarray[4]), fontsize=16)
   for tick in ex.xaxis.get_major_ticks():
     tick.label1.set_fontsize(size)
   pylab.setp(ex.get_yticklabels(), visible=False)
 
-  pylab.axis([-0.5, 1.1, 0., 3.])
-  bx.set_xlabel('Normalised U-velocity (U/Umax)', fontsize=24)
-  ax.set_ylabel('z/h', fontsize=24)
+  pylab.axis([-0.25, 1.15, 0., 3.])
+  cx.set_xlabel('Normalised U-velocity (U/Umax)', fontsize=24)
+  ax.set_ylabel('y', fontsize=24)
 
   pylab.savefig("../velocity_profiles_kim_"+str(type)+".pdf")
   return
@@ -348,7 +328,7 @@
     ##### Which run is being processed?
     type = sys.argv[1]
 
-    ##### Only process every nth file by taking integer multiples of n:
+    ##### Only process every nth file:
     filelist = get_filelist(sample=5, start=0)
 
     ##### Call reattachment_length function
@@ -359,15 +339,14 @@
 
     ##### Points to generate profiles:
     xarray = numpy.array([1.33,2.66,5.33,8.0,16.0])
-    yarray = numpy.array([0.01,0.02,0.03,0.04,0.05,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.0,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,2.0,2.1,2.2,2.3,2.4,2.5,2.6,2.7,2.8,2.9,2.95,2.96,2.97,2.98,2.99,3.0])
-
-    ##### Only process every nth file by taking integer multiples of n:
-    filelist = get_filelist(sample=20, start=0)
+    yarray = numpy.array([0.01,0.02,0.03,0.04,0.05,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,
+1.0,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,2.0,2.1,2.2,2.3,2.4,
+2.5,2.6,2.7,2.8,2.9,2.95,2.96,2.97,2.98,2.99,3.0])
 
     ##### Call meanvelo function
-    profiles, time = meanvelo(filelist, xarray, yarray)
+    profiles = meanvelo(filelist[-1], xarray, yarray)
     numpy.save("velocity_profiles_kim_"+str(type), profiles)
-    plot_meanvelo(type,profiles,xarray,yarray,time)
+    plot_meanvelo(type,profiles,xarray,yarray)
     pylab.show()
 
     print "\nAll done.\n"

=== added directory 'examples/backward_facing_step_3d/Ercoftac-test31-BFS'
=== removed directory 'examples/backward_facing_step_3d/Ercoftac-test31-BFS'
=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC.dat	2013-04-16 15:27:30 +0000
@@ -0,0 +1,10 @@
+y/h
+[0.0, 0.00058858700000000001, 0.00179565, 0.00306398, 0.0043966999999999999, 0.0057970299999999999, 0.0072684000000000004, 0.0088143800000000001, 0.0104387, 0.012145400000000001, 0.0139385, 0.0158225, 0.0178018, 0.019881300000000001, 0.022065899999999999, 0.024361000000000001, 0.026772000000000001, 0.029304899999999998, 0.031965599999999997, 0.0347605, 0.037696399999999998, 0.040780200000000003, 0.0440194, 0.047421499999999998, 0.0509948, 0.0547476, 0.058688900000000002, 0.062827900000000006, 0.067174399999999995, 0.071738700000000002, 0.076531299999999997, 0.081563499999999997, 0.086846999999999994, 0.092394000000000004, 0.098217399999999996, 0.10433099999999999, 0.110748, 0.117483, 0.124553, 0.13197200000000001, 0.13975799999999999, 0.147927, 0.1565, 0.165493, 0.174928, 0.18482499999999999, 0.19520499999999999, 0.206092, 0.21750800000000001, 0.22947799999999999, 0.24202699999999999, 0.25518200000000002, 0.26897100000000002, 0.28342000000000001, 0.29856100000000002, 0.31442399999999998, 0.33104099999999997, 0.348445, 0.36666900000000002, 0.38574900000000001, 0.40572200000000003, 0.426624, 0.44849600000000001, 0.47137600000000002, 0.495307, 0.52032900000000004, 0.54648699999999995, 0.57382500000000003, 0.60238800000000003, 0.63222299999999998, 0.66337800000000002, 0.69589999999999996, 0.72983799999999999, 0.76524300000000001, 0.80216500000000002, 0.84065500000000004, 0.88076399999999999, 0.922543, 0.96604400000000001, 1.01132, 1.0584199999999999, 1.1073900000000001, 1.15829, 1.2111700000000001, 1.26607, 1.3230299999999999, 1.3821099999999999, 1.4433400000000001, 1.5067699999999999, 1.57243, 1.64036, 1.7105900000000001, 1.78315, 1.85805, 1.9353199999999999, 2.01498, 2.0970200000000001, 2.1814499999999999, 2.2682799999999999, 2.3574899999999999, 2.4490599999999998, 2.54298, 2.6392099999999998, 2.7377099999999999, 2.8384499999999999, 2.94137, 3.0464000000000002, 3.1534900000000001, 3.2625600000000001, 3.3735200000000001, 3.4862799999999998, 3.6007400000000001, 3.7168000000000001, 3.8343500000000001, 3.9532600000000002, 4.0734000000000004, 4.1946599999999998, 4.3168899999999999, 4.43994, 4.5636799999999997, 4.6879600000000003, 4.8126199999999999, 4.9375099999999996]
+U/U0
+[0.0, 0.0070701399999999999, 0.021563800000000001, 0.036780599999999997, 0.052745100000000003, 0.069473800000000002, 0.086971900000000005, 0.10523, 0.124219, 0.14389299999999999, 0.16417999999999999, 0.18499399999999999, 0.20622499999999999, 0.22775599999999999, 0.24945899999999999, 0.27120100000000003, 0.29285, 0.31427899999999998, 0.33537400000000001, 0.35603499999999999, 0.37618000000000001, 0.39574599999999999, 0.414688, 0.432975, 0.45059199999999999, 0.46753600000000001, 0.48381800000000003, 0.49945099999999998, 0.51445300000000005, 0.52884200000000003, 0.54264199999999996, 0.55587299999999995, 0.56855800000000001, 0.58071899999999999, 0.59237600000000001, 0.60353800000000002, 0.61421000000000003, 0.62441800000000003, 0.63422900000000004, 0.643737, 0.65300499999999995, 0.66203000000000001, 0.67081199999999996, 0.67939000000000005, 0.68774599999999997, 0.69586499999999996, 0.70381199999999999, 0.71162499999999995, 0.71927399999999997, 0.72673299999999996, 0.73411499999999996, 0.74148999999999998, 0.74887000000000004, 0.75622900000000004, 0.76351000000000002, 0.77073400000000003, 0.77788400000000002, 0.78501200000000004, 0.792242, 0.79957, 0.80698800000000004, 0.81452000000000002, 0.82211599999999996, 0.82985100000000001, 0.83772199999999997, 0.84570299999999998, 0.85384300000000002, 0.86217600000000005, 0.87065199999999998, 0.87945300000000004, 0.88844800000000002, 0.89773000000000003, 0.90720800000000001, 0.916883, 0.92657800000000001, 0.93625700000000001, 0.94601199999999996, 0.95580799999999999, 0.96556600000000004, 0.97506599999999999, 0.98413700000000004, 0.99223600000000001, 0.99927299999999997, 1.0040500000000001, 1.0058499999999999, 1.00647, 1.00597, 1.0056, 1.00542, 1.0053399999999999, 1.00522, 1.00508, 1.0048699999999999, 1.0045900000000001, 1.0042199999999999, 1.0041, 1.0040199999999999, 1.00379, 1.0035700000000001, 1.0033799999999999, 1.0032000000000001, 1.0030399999999999, 1.00288, 1.0027299999999999, 1.00258, 1.00244, 1.0023, 1.0021599999999999, 1.00204, 1.0019100000000001, 1.0018, 1.00169, 1.00159, 1.00149, 1.0014000000000001, 1.00132, 1.00126, 1.0012000000000001, 1.0011399999999999, 1.0011000000000001, 1.0010699999999999, 1.00105, 1.0010399999999999]
+u'/U0
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC.dat	1970-01-01 00:00:00 +0000
@@ -1,10 +0,0 @@
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-list.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-list.dat	2013-04-16 15:27:30 +0000
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-list.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-list.dat	1970-01-01 00:00:00 +0000
@@ -1,10 +0,0 @@
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-table.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-table.dat	2013-04-16 15:27:30 +0000
@@ -0,0 +1,124 @@
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+4.81262 1.00105 0.000287702 3.01955e-05 -3.85658e-08
+4.93751 1.00104 0.000286914 1.00287e-05 -1.28538e-08

=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-table.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC181-table.dat	1970-01-01 00:00:00 +0000
@@ -1,124 +0,0 @@
-y U u'u' v'v' -10*u'v'
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-list.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-list.dat	2013-04-16 15:27:30 +0000
@@ -0,0 +1,10 @@
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-list.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-list.dat	1970-01-01 00:00:00 +0000
@@ -1,10 +0,0 @@
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-table.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-table.dat	2013-04-16 15:27:30 +0000
@@ -0,0 +1,194 @@
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-table.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC360-table.dat	1970-01-01 00:00:00 +0000
@@ -1,194 +0,0 @@
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-list.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-list.dat	2013-04-16 15:27:30 +0000
@@ -0,0 +1,10 @@
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-list.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-list.dat	1970-01-01 00:00:00 +0000
@@ -1,10 +0,0 @@
-y/h
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-table.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-table.dat	2013-04-16 15:27:30 +0000
@@ -0,0 +1,194 @@
+y U u'u' v'v' -10*u'v'
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-table.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC411-table.dat	1970-01-01 00:00:00 +0000
@@ -1,194 +0,0 @@
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-list.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-list.dat	2013-04-16 15:27:30 +0000
@@ -0,0 +1,10 @@
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-list.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-list.dat	1970-01-01 00:00:00 +0000
@@ -1,10 +0,0 @@
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-table.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-table.dat	2013-04-16 15:27:30 +0000
@@ -0,0 +1,194 @@
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-table.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC513-table.dat	1970-01-01 00:00:00 +0000
@@ -1,194 +0,0 @@
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-list.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-list.dat	2013-04-16 15:27:30 +0000
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-list.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-list.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-list.dat	1970-01-01 00:00:00 +0000
@@ -1,10 +0,0 @@
-y/h
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=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-table.dat	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-table.dat	2013-04-16 15:27:30 +0000
@@ -0,0 +1,194 @@
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-table.dat'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-table.dat	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/BFS-SEM-ERCOFTAC744-table.dat	1970-01-01 00:00:00 +0000
@@ -1,194 +0,0 @@
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-1.54649 0.768156 0.0916256 0.0631058 0.0281628
-1.57382 0.773884 0.0904699 0.0622827 0.0273667
-1.60239 0.779813 0.088995 0.061436 0.0266811
-1.63222 0.78591 0.0874433 0.0605171 0.0258455
-1.66338 0.792134 0.0858011 0.0595189 0.0247891
-1.6959 0.798546 0.0838642 0.0584003 0.0235979
-1.72984 0.804894 0.0821055 0.0572102 0.0226226
-1.76524 0.811289 0.0797589 0.0559543 0.0213846
-1.80217 0.817768 0.0771206 0.0545965 0.0199338
-1.84065 0.824158 0.0746236 0.0531409 0.0186452
-1.88076 0.830684 0.0712434 0.0516754 0.0172125
-1.92254 0.837102 0.0676748 0.0502099 0.0157845
-1.96604 0.843501 0.0638957 0.0486291 0.0142564
-2.01132 0.84987 0.0597719 0.046966 0.0126329
-2.05842 0.856127 0.0555366 0.0451877 0.0108996
-2.10739 0.861849 0.0507294 0.0430661 0.00929031
-2.15829 0.867143 0.0458423 0.0407103 0.00767435
-2.21117 0.871668 0.0416183 0.0383306 0.00622004
-2.26607 0.875782 0.036708 0.0359348 0.00461454
-2.32303 0.879288 0.0325793 0.0334948 0.0032321
-2.38211 0.882174 0.0291881 0.0309444 0.00215967
-2.44334 0.884183 0.0265426 0.0283291 0.00145975
-2.50677 0.885542 0.0240539 0.0258396 0.000911553
-2.57243 0.886574 0.0220977 0.0235185 0.000493382
-2.64036 0.887211 0.0205886 0.021374 0.000212436
-2.71059 0.887583 0.0193332 0.0193329 1.65862e-05
-2.78315 0.88779 0.0182621 0.017469 -9.51537e-05
-2.85805 0.887876 0.0173171 0.0158377 -0.000135331
-2.93532 0.887868 0.0164842 0.0144165 -0.000160565
-3.01498 0.887786 0.0156657 0.0131757 -0.000164013
-3.09702 0.887688 0.0148808 0.0121064 -0.000147566
-3.18145 0.887639 0.0141818 0.0111724 -0.000131719
-3.26828 0.887598 0.0135756 0.0103367 -0.000121538
-3.35749 0.887563 0.013026 0.00958667 -0.000111377
-3.44906 0.887543 0.0125203 0.00890803 -0.000101552
-3.54298 0.887522 0.0120582 0.00828457 -9.27407e-05
-3.63921 0.887508 0.0116305 0.00770577 -8.47228e-05
-3.73771 0.887496 0.0112361 0.00716419 -7.75051e-05
-3.83845 0.887487 0.0108719 0.00665465 -7.0843e-05
-3.94137 0.88748 0.0105348 0.00617331 -6.46543e-05
-4.0464 0.887475 0.010223 0.00571673 -5.88356e-05
-4.15349 0.887471 0.00993519 0.00528178 -5.33849e-05
-4.26256 0.887469 0.00966977 0.00486588 -4.83489e-05
-4.37352 0.887468 0.00942617 0.00446723 -4.36237e-05
-4.48628 0.887469 0.00920352 0.00408379 -3.92148e-05
-4.60074 0.88747 0.00900052 0.0037133 -3.51615e-05
-4.7168 0.887472 0.00881671 0.00335439 -3.1369e-05
-4.83435 0.887474 0.00865155 0.00300593 -2.77906e-05
-4.95326 0.887477 0.00850421 0.00266654 -2.4408e-05
-5.0734 0.88748 0.00837445 0.00233505 -2.11772e-05
-5.19466 0.887482 0.00826185 0.00201039 -1.80916e-05
-5.31689 0.887485 0.00816588 0.00169153 -1.51243e-05
-5.43994 0.887488 0.00808637 0.00137751 -1.22464e-05
-5.56368 0.88749 0.00802312 0.00106739 -9.44892e-06
-5.68796 0.887491 0.0079758 0.000760283 -6.70952e-06
-5.81262 0.887493 0.0079443 0.000455318 -4.00919e-06
-5.93751 0.887493 0.00792885 0.000151632 -1.33347e-06

=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/README'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/README	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/README	2013-04-16 15:27:30 +0000
@@ -0,0 +1,28 @@
+1) File name convention:  filename.nnn
+   nnn = streamwise nodal (cell center) location
+  
+   nnn = 181  --->  x/h = -3.0
+   nnn = 360  --->  x/h = 4.0
+   nnn = 411  --->  x/h = 6.0
+   nnn = 513  --->  x/h = 10.0
+   nnn = 641  --->  x/h = 15.0
+   nnn = 744  --->  x/h = 19.0
+
+2) Files "x.nnn" contain U, V, u'(rms), v'(rms), w'(rms), u'v'.  
+   File header explains the data columns.
+
+   All quantities are nomalized to U0, where U0 is the mean inlet 
+   free stream velocity.
+
+3) Files "r**.nnn" contain Reynolds stress budgets.
+
+   r11.nnn  --->  Streamwise component (u'u')
+   r22.nnn  --->  Vertical component (v'v')
+   r33.nnn  --->  Spanwise component (w'w')
+   r12.nnn  --->  Reynolds shear stress component (u'v')
+   rkk.nnn  --->  Turbulent kinetic energy
+
+   All quantities are nomalized to U0^3/h.
+
+4) File "stat.info" contains additional information at each streamwise 
+   location (u_tau, Cf, etc...).

=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/README'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/README	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/README	1970-01-01 00:00:00 +0000
@@ -1,28 +0,0 @@
-1) File name convention:  filename.nnn
-   nnn = streamwise nodal (cell center) location
-  
-   nnn = 181  --->  x/h = -3.0
-   nnn = 360  --->  x/h = 4.0
-   nnn = 411  --->  x/h = 6.0
-   nnn = 513  --->  x/h = 10.0
-   nnn = 641  --->  x/h = 15.0
-   nnn = 744  --->  x/h = 19.0
-
-2) Files "x.nnn" contain U, V, u'(rms), v'(rms), w'(rms), u'v'.  
-   File header explains the data columns.
-
-   All quantities are nomalized to U0, where U0 is the mean inlet 
-   free stream velocity.
-
-3) Files "r**.nnn" contain Reynolds stress budgets.
-
-   r11.nnn  --->  Streamwise component (u'u')
-   r22.nnn  --->  Vertical component (v'v')
-   r33.nnn  --->  Spanwise component (w'w')
-   r12.nnn  --->  Reynolds shear stress component (u'v')
-   rkk.nnn  --->  Turbulent kinetic energy
-
-   All quantities are nomalized to U0^3/h.
-
-4) File "stat.info" contains additional information at each streamwise 
-   location (u_tau, Cf, etc...).

=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/extract_Ercoftac_test31_BFS.py'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/extract_Ercoftac_test31_BFS.py	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/extract_Ercoftac_test31_BFS.py	2013-04-16 15:27:30 +0000
@@ -0,0 +1,43 @@
+#!/usr/bin/env python
+
+import glob
+import sys
+import numpy
+
+def inflow_data(plane):
+  # Extract mean velocity and Reynolds stresses from ERCOFTAC data at given plane.
+  # Ignore file header
+  ignore=3
+  ercoftac = open('x.'+str(plane), 'r')
+  print "reading in data from file: x."+str(plane)
+  for line in range(ignore):
+    ercoftac.readline()
+  
+  y=[];U=[];uu=[];vv=[];uv=[]
+  for line in ercoftac:
+    y.append(float(line.split(  )[0]))
+    U.append(float(line.split(  )[1]))
+    uu.append(float(line.split(  )[3]))
+    vv.append(float(line.split(  )[4]))
+    uv.append(-10.0*float(line.split(  )[6]))
+
+  # Write data out
+  datafile = open('BFS-SEM-ERCOFTAC'+str(plane)+'-list.dat', 'w')
+  datafile.write('y/h\n'+str(y)+'\nU/U0\n'+str(U)+"\nu'/U0\n"+str(uu)+"\nv'/U0\n"+str(vv)+"\nw'/U0\n"+str(uv)+'\n')
+  datafile = open('BFS-SEM-ERCOFTAC'+str(plane)+'-table.dat', 'w')
+  datafile.write("y/h U/U0 u'u'/U0^2 v'v'/U0^2 -10*u'v'/U0^2\n")
+  for i in range(len(y)):
+    datafile.write(str(y[i])+' '+str(U[i])+' '+str(uu[i])+' '+str(vv[i])+' '+str(uv[i])+'\n')
+  ercoftac.close(); datafile.close()
+  return
+
+#########################################################################
+
+def main():
+
+  plane = sys.argv[1]
+  inflow_data(plane)
+
+if __name__ == "__main__":
+  sys.exit(main())
+

=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/extract_Ercoftac_test31_BFS.py'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/extract_Ercoftac_test31_BFS.py	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/extract_Ercoftac_test31_BFS.py	1970-01-01 00:00:00 +0000
@@ -1,43 +0,0 @@
-#!/usr/bin/env python
-
-import glob
-import sys
-import numpy
-
-def inflow_data(plane):
-  # Extract mean velocity and Reynolds stresses from ERCOFTAC data at given plane.
-  # Ignore file header
-  ignore=3
-  ercoftac = open('x.'+str(plane), 'r')
-  print "reading in data from file: x."+str(plane)
-  for line in range(ignore):
-    ercoftac.readline()
-  
-  y=[];U=[];uu=[];vv=[];uv=[]
-  for line in ercoftac:
-    y.append(float(line.split(  )[0]))
-    U.append(float(line.split(  )[1]))
-    uu.append(float(line.split(  )[3]))
-    vv.append(float(line.split(  )[4]))
-    uv.append(-10.0*float(line.split(  )[6]))
-
-  # Write data out
-  datafile = open('BFS-SEM-ERCOFTAC'+str(plane)+'-list.dat', 'w')
-  datafile.write('y/h\n'+str(y)+'\nU/U0\n'+str(U)+"\nu'/U0\n"+str(uu)+"\nv'/U0\n"+str(vv)+"\nw'/U0\n"+str(uv)+'\n')
-  datafile = open('BFS-SEM-ERCOFTAC'+str(plane)+'-table.dat', 'w')
-  datafile.write("y U u'u' v'v' -10*u'v'\n")
-  for i in range(len(y)):
-    datafile.write(str(y[i])+' '+str(U[i])+' '+str(uu[i])+' '+str(vv[i])+' '+str(uv[i])+'\n')
-  ercoftac.close(); datafile.close()
-  return
-
-#########################################################################
-
-def main():
-
-  plane = sys.argv[1]
-  inflow_data(plane)
-
-if __name__ == "__main__":
-  sys.exit(main())
-

=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/readme'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/readme	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/readme	2013-04-16 15:27:30 +0000
@@ -0,0 +1,28 @@
+1) File name convention:  filename.nnn
+   nnn = streamwise nodal (cell center) location
+  
+   nnn = 181  --->  x/h = -3.0
+   nnn = 360  --->  x/h = 4.0
+   nnn = 411  --->  x/h = 6.0
+   nnn = 513  --->  x/h = 10.0
+   nnn = 641  --->  x/h = 15.0
+   nnn = 744  --->  x/h = 19.0
+
+2) Files "x.nnn" contain U, V, u'(rms), v'(rms), w'(rms), u'v'.  
+   File header explains the data columns.
+
+   All quantities are nomalized to U0, where U0 is the mean inlet 
+   free stream velocity.
+
+3) Files "r**.nnn" contain Reynolds stress budgets.
+
+   r11.nnn  --->  Streamwise component (u'u')
+   r22.nnn  --->  Vertical component (v'v')
+   r33.nnn  --->  Spanwise component (w'w')
+   r12.nnn  --->  Reynolds shear stress component (u'v')
+   rkk.nnn  --->  Turbulent kinetic energy
+
+   All quantities are nomalized to U0^3/h.
+
+4) File "stat.info" contains additional information at each streamwise 
+   location (u_tau, Cf, etc...).

=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.181'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.181	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.181	2013-04-16 15:27:30 +0000
@@ -0,0 +1,124 @@
+  # Col. 1:  y/h
+  # Col. 2:  Production term
+  # Col. 3:  Turbulence Transport term
+  # Col. 4:  Viscous Diffusion term
+  # Col. 5:  Velocity Pressure Gradient term
+  # Col. 6:  Viscous Dissipation term
+  # Col. 7:  Convection term
+
+  0.00000E+00  0.00000E+00  0.00000E+00  1.46486E-02  0.00000E+00 -1.46486E-02  0.00000E+00
+  5.88587E-04  6.04671E-07  1.50662E-06  1.45370E-02  4.14154E-05 -1.45801E-02  2.14690E-09
+  1.79565E-03  9.64506E-06  3.01285E-05  1.43695E-02  9.34891E-05 -1.45028E-02 -4.23262E-08
+  3.06398E-03  4.50964E-05  1.43468E-04  1.41172E-02  1.07815E-04 -1.44150E-02 -2.84408E-07
+  4.39670E-03  1.30951E-04  4.10865E-04  1.36732E-02  8.61860E-05 -1.43049E-02 -9.80895E-07
+  5.79703E-03  2.96329E-04  8.98854E-04  1.28905E-02  3.12106E-05 -1.41233E-02 -2.55356E-06
+  7.26840E-03  5.73803E-04  1.64855E-03  1.16505E-02 -5.37320E-05 -1.38279E-02 -5.68313E-06
+  8.81438E-03  9.96085E-04  2.65131E-03  9.90014E-03 -1.64562E-04 -1.33925E-02 -1.14145E-05
+  1.04387E-02  1.59117E-03  3.83528E-03  7.67713E-03 -2.96626E-04 -1.28139E-02 -2.11498E-05
+  1.21454E-02  2.37659E-03  5.07196E-03  5.11043E-03 -4.44896E-04 -1.21131E-02 -3.63297E-05
+  1.39385E-02  3.35402E-03  6.20079E-03  2.39604E-03 -6.04244E-04 -1.13312E-02 -5.77425E-05
+  1.58225E-02  4.50561E-03  7.06145E-03 -2.40023E-04 -7.69786E-04 -1.05209E-02 -8.47803E-05
+  1.78018E-02  5.79329E-03  7.52443E-03 -2.58071E-03 -9.37250E-04 -9.73763E-03 -1.15208E-04
+  1.98813E-02  7.16161E-03  7.51471E-03 -4.45382E-03 -1.10321E-03 -9.02877E-03 -1.45785E-04
+  2.20659E-02  8.54378E-03  7.02507E-03 -5.75941E-03 -1.26505E-03 -8.42496E-03 -1.73545E-04
+  2.43610E-02  9.86976E-03  6.11465E-03 -6.48014E-03 -1.42062E-03 -7.93581E-03 -1.97107E-04
+  2.67720E-02  1.10748E-02  4.89183E-03 -6.66975E-03 -1.56776E-03 -7.55320E-03 -2.17412E-04
+  2.93049E-02  1.21067E-02  3.48797E-03 -6.42695E-03 -1.70390E-03 -7.25895E-03 -2.37470E-04
+  3.19656E-02  1.29307E-02  2.03349E-03 -5.87031E-03 -1.82605E-03 -7.03127E-03 -2.60942E-04
+  3.47605E-02  1.35307E-02  6.41558E-04 -5.12080E-03 -1.93131E-03 -6.84777E-03 -2.89875E-04
+  3.76964E-02  1.39073E-02 -6.02699E-04 -4.28762E-03 -2.01761E-03 -6.68774E-03 -3.23004E-04
+  4.07802E-02  1.40740E-02 -1.64644E-03 -3.45759E-03 -2.08441E-03 -6.53443E-03 -3.56169E-04
+  4.40194E-02  1.40530E-02 -2.46403E-03 -2.69451E-03 -2.13273E-03 -6.37529E-03 -3.84056E-04
+  4.74215E-02  1.38711E-02 -3.05345E-03 -2.03840E-03 -2.16474E-03 -6.20273E-03 -4.00903E-04
+  5.09948E-02  1.35570E-02 -3.44290E-03 -1.49220E-03 -2.18320E-03 -6.01750E-03 -4.01423E-04
+  5.47476E-02  1.31397E-02 -3.67218E-03 -1.03893E-03 -2.19163E-03 -5.82146E-03 -3.87193E-04
+  5.86889E-02  1.26471E-02 -3.74747E-03 -6.96345E-04 -2.19410E-03 -5.60476E-03 -3.68223E-04
+  6.28279E-02  1.21026E-02 -3.69853E-03 -4.62527E-04 -2.19242E-03 -5.36552E-03 -3.39646E-04
+  6.71744E-02  1.15225E-02 -3.61127E-03 -2.67623E-04 -2.18451E-03 -5.12038E-03 -2.86341E-04
+  7.17387E-02  1.09203E-02 -3.49041E-03 -1.00603E-04 -2.16901E-03 -4.87248E-03 -2.25645E-04
+  7.65313E-02  1.03092E-02 -3.28347E-03 -9.76422E-06 -2.14900E-03 -4.61266E-03 -1.81909E-04
+  8.15635E-02  9.69960E-03 -2.98937E-03 -8.13826E-06 -2.12965E-03 -4.34117E-03 -1.50565E-04
+  8.68470E-02  9.09911E-03 -2.69292E-03 -3.83909E-05 -2.11153E-03 -4.07033E-03 -1.02364E-04
+  9.23940E-02  8.51477E-03 -2.50700E-03 -9.81851E-06 -2.08843E-03 -3.81607E-03 -1.45120E-05
+  9.82174E-02  7.95204E-03 -2.39717E-03  7.71941E-05 -2.05587E-03 -3.57726E-03  6.94841E-05
+  1.04331E-01  7.41111E-03 -2.23749E-03  1.24794E-04 -2.01610E-03 -3.33649E-03  1.10527E-04
+  1.10748E-01  6.89133E-03 -2.03055E-03  1.13715E-04 -1.97298E-03 -3.10339E-03  1.48654E-04
+  1.17483E-01  6.40610E-03 -1.83488E-03  9.61190E-05 -1.93056E-03 -2.90346E-03  2.08055E-04
+  1.24553E-01  5.97653E-03 -1.60968E-03  6.35689E-05 -1.89370E-03 -2.73741E-03  2.40694E-04
+  1.31972E-01  5.60234E-03 -1.36137E-03  5.17337E-05 -1.86276E-03 -2.59994E-03  2.12426E-04
+  1.39758E-01  5.25870E-03 -1.16138E-03  8.17453E-05 -1.83383E-03 -2.47715E-03  1.77173E-04
+  1.47927E-01  4.92646E-03 -9.84933E-04  7.27150E-05 -1.80460E-03 -2.34183E-03  1.72963E-04
+  1.56500E-01  4.60864E-03 -8.69588E-04  2.83309E-05 -1.77179E-03 -2.20420E-03  2.37138E-04
+  1.65493E-01  4.30824E-03 -8.24383E-04  3.66017E-05 -1.72892E-03 -2.08054E-03  3.05411E-04
+  1.74928E-01  4.02084E-03 -7.04613E-04  5.48169E-05 -1.68399E-03 -1.95046E-03  2.73551E-04
+  1.84825E-01  3.74549E-03 -4.93632E-04  3.85575E-05 -1.64263E-03 -1.81826E-03  1.79269E-04
+  1.95205E-01  3.48395E-03 -3.81593E-04  5.23581E-05 -1.59248E-03 -1.70359E-03  1.51067E-04
+  2.06092E-01  3.23865E-03 -2.92482E-04  3.63176E-05 -1.53716E-03 -1.59752E-03  1.64106E-04
+  2.17508E-01  3.00022E-03 -2.13533E-04  4.02476E-05 -1.49524E-03 -1.48603E-03  1.69034E-04
+  2.29478E-01  2.78230E-03 -1.04560E-04  2.34779E-05 -1.45140E-03 -1.38667E-03  1.54085E-04
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.181'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.181	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.181	1970-01-01 00:00:00 +0000
@@ -1,124 +0,0 @@
-  # Col. 1:  y/h
-  # Col. 2:  Production term
-  # Col. 3:  Turbulence Transport term
-  # Col. 4:  Viscous Diffusion term
-  # Col. 5:  Velocity Pressure Gradient term
-  # Col. 6:  Viscous Dissipation term
-  # Col. 7:  Convection term
-
-  0.00000E+00  0.00000E+00  0.00000E+00  1.46486E-02  0.00000E+00 -1.46486E-02  0.00000E+00
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-  4.39670E-03  1.30951E-04  4.10865E-04  1.36732E-02  8.61860E-05 -1.43049E-02 -9.80895E-07
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-  6.02388E-01  9.87242E-04  1.97725E-04 -1.94381E-05 -5.53743E-04 -2.98639E-04 -3.28064E-04
-  6.32223E-01  9.32026E-04  3.00261E-04 -5.31238E-06 -5.10984E-04 -2.66038E-04 -4.85822E-04
-  6.63378E-01  8.50490E-04  2.67234E-04 -4.59408E-06 -4.46481E-04 -2.30693E-04 -4.80885E-04
-  6.95900E-01  7.61912E-04  3.64071E-04 -4.78059E-06 -3.88485E-04 -1.99265E-04 -5.74237E-04
-  7.29838E-01  6.63318E-04  4.15831E-04 -5.56336E-07 -3.26759E-04 -1.71020E-04 -6.19331E-04
-  7.65243E-01  5.59611E-04  3.64137E-04  6.12805E-06 -2.65212E-04 -1.44733E-04 -5.57380E-04
-  8.02165E-01  4.60392E-04  3.08802E-04  7.52096E-06 -2.15887E-04 -1.23067E-04 -4.71152E-04
-  8.40655E-01  3.71918E-04  2.68105E-04  1.01284E-06 -1.67135E-04 -1.06657E-04 -3.99023E-04
-  8.80764E-01  2.91262E-04  2.93115E-04  1.03249E-07 -1.15355E-04 -9.07751E-05 -4.03121E-04
-  9.22543E-01  2.16924E-04  3.10751E-04  5.62130E-07 -6.83697E-05 -7.66181E-05 -3.92881E-04
-  9.66044E-01  1.51478E-04  3.40368E-04  2.67055E-06 -3.28344E-05 -6.37446E-05 -4.02656E-04
-  1.01132E+00  9.50345E-05  3.29153E-04  1.02338E-05 -5.84634E-06 -5.10408E-05 -3.81471E-04
-  1.05842E+00  5.07244E-05  2.20757E-04  1.06925E-05  5.33675E-06 -3.81177E-05 -2.50316E-04
-  1.10739E+00  2.09464E-05  1.56468E-04  9.61547E-06  6.76018E-06 -2.72767E-05 -1.64492E-04
-  1.15829E+00  2.21443E-06  1.07146E-04  7.35661E-06  6.22551E-06 -2.10584E-05 -9.86174E-05
-  1.21117E+00 -6.35914E-06  4.31109E-05  4.62892E-06  7.31023E-06 -1.53897E-05 -3.03028E-05
-  1.26607E+00 -4.78151E-06  8.15946E-06  7.55526E-07  8.10515E-06 -8.59647E-06 -1.03620E-06
-  1.32303E+00 -1.00534E-06  4.19569E-06  4.14941E-07  7.79823E-06 -4.17086E-06 -4.81108E-06
-  1.38211E+00  6.03581E-07  7.92620E-06 -2.75313E-08  7.24958E-06 -2.43831E-06 -1.13992E-05
-  1.44334E+00  2.31102E-07  6.19345E-06  9.47031E-07  5.69709E-06 -1.52778E-06 -1.04753E-05
-  1.50677E+00  3.39232E-08  3.25503E-06  5.85335E-07  4.23673E-06 -8.76642E-07 -6.82347E-06
-  1.57243E+00 -1.15514E-09  1.19631E-06  3.17892E-07  3.02346E-06 -5.01802E-07 -3.94903E-06
-  1.64036E+00  2.87382E-08  3.26161E-07  1.40216E-07  2.13136E-06 -3.20648E-07 -2.35639E-06
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-  1.78315E+00  7.03401E-08  7.55368E-08  9.80822E-08  1.09697E-06 -1.57705E-07 -1.28583E-06
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-  1.93532E+00  4.16589E-08 -3.74882E-08  1.17815E-08  6.57766E-07 -2.10564E-07 -6.13875E-07
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-  2.54298E+00  1.93609E-09 -1.79509E-10  2.69261E-09  1.11422E-07 -2.52509E-09 -1.13702E-07
-  2.63921E+00  1.24971E-09 -1.82072E-10  1.61879E-09  9.65838E-08 -1.54063E-09 -9.96804E-08
-  2.73771E+00  7.94971E-10 -7.53081E-11  1.00591E-09  8.41827E-08 -9.65105E-10 -8.79447E-08
-  2.83845E+00  4.24725E-10  1.77290E-10  6.39893E-10  7.37744E-08 -6.18100E-10 -7.80421E-08
-  2.94137E+00  2.77120E-10  1.67891E-10  4.16933E-10  6.50008E-08 -4.03983E-10 -6.94644E-08
-  3.04640E+00  1.58515E-10  2.11361E-10  2.77848E-10  5.75963E-08 -2.69330E-10 -6.21487E-08
-  3.15349E+00  3.05224E-10 -2.07353E-10  1.89956E-10  5.13442E-08 -1.83208E-10 -5.56647E-08
-  3.26256E+00  7.42259E-11  1.71794E-10  1.32630E-10  4.60711E-08 -1.27234E-10 -5.04991E-08
-  3.37352E+00  1.07460E-10  4.95926E-11  9.43942E-11  4.16342E-08 -9.02653E-11 -4.58809E-08
-  3.48628E+00  1.16523E-11  2.02006E-10  6.86993E-11  3.79034E-08 -6.54438E-11 -4.20919E-08
-  3.60074E+00  1.19576E-10 -4.11894E-11  4.94481E-11  3.47733E-08 -4.84917E-11 -3.87056E-08
-  3.71680E+00 -8.96941E-11  3.57044E-10  3.80796E-11  3.21668E-08 -3.67108E-11 -3.61592E-08
-  3.83435E+00  8.66411E-11 -1.15228E-11  2.97307E-11  3.00000E-08 -2.83812E-11 -3.36780E-08
-  3.95326E+00  2.84232E-10 -4.19930E-10  2.33919E-11  2.82215E-08 -2.23954E-11 -3.15643E-08
-  4.00000E+00  2.22109E-10 -2.99262E-10  2.16433E-11  2.76518E-08 -2.06980E-11 -3.10121E-08

=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.360'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.360	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.360	2013-04-16 15:27:30 +0000
@@ -0,0 +1,194 @@
+  # Col. 1:  y/h
+  # Col. 2:  Production term
+  # Col. 3:  Turbulence Transport term
+  # Col. 4:  Viscous Diffusion term
+  # Col. 5:  Velocity Pressure Gradient term
+  # Col. 6:  Viscous Dissipation term
+  # Col. 7:  Convection term
+
+  0.00000E+00  0.00000E+00  0.00000E+00  1.41595E-02  0.00000E+00 -1.41595E-02  0.00000E+00
+  5.82380E-04 -1.72567E-07  4.61030E-06  1.28988E-02  4.43945E-04 -1.33465E-02 -3.45740E-07
+  1.83133E-03  2.97299E-06  2.35336E-04  1.01497E-02  1.29473E-03 -1.16820E-02  5.22996E-07
+  3.26055E-03  1.10643E-05  5.78459E-04  7.23951E-03  2.10977E-03 -9.94480E-03  8.06491E-06
+  4.89542E-03  1.49616E-05  8.68061E-04  4.44138E-03  2.88729E-03 -8.23189E-03  2.32037E-05
+  6.76471E-03  2.06247E-05  1.15606E-03  1.88419E-03  3.52896E-03 -6.63752E-03  5.15698E-05
+  8.90094E-03  2.04718E-05  1.37837E-03 -2.10708E-04  3.97420E-03 -5.25406E-03  9.65225E-05
+  1.13408E-02 -5.95248E-06  1.32047E-03 -1.38501E-03  4.19549E-03 -4.27792E-03  1.59149E-04
+  1.41256E-02 -7.68887E-05  1.17195E-03 -2.18531E-03  4.30765E-03 -3.43097E-03  2.21977E-04
+  1.73017E-02 -2.13176E-04  8.97106E-04 -2.25720E-03  4.19357E-03 -2.89604E-03  2.87359E-04
+  2.09209E-02 -4.28131E-04  6.59718E-04 -1.94306E-03  3.93548E-03 -2.54257E-03  3.34456E-04
+  2.50411E-02 -6.89545E-04  5.50056E-04 -1.55253E-03  3.62218E-03 -2.26099E-03  3.51298E-04
+  2.97262E-02 -9.67223E-04  5.73213E-04 -1.11660E-03  3.25073E-03 -2.05884E-03  3.44248E-04
+  3.50470E-02 -1.21867E-03  7.21757E-04 -7.28937E-04  2.84065E-03 -1.90856E-03  3.25629E-04
+  4.10810E-02 -1.40932E-03  9.49720E-04 -4.22075E-04  2.40454E-03 -1.78973E-03  3.07258E-04
+  4.79124E-02 -1.50331E-03  1.24471E-03 -2.29240E-04  1.95102E-03 -1.70578E-03  2.94497E-04
+  5.56324E-02 -1.49611E-03  1.51782E-03 -8.09162E-05  1.47748E-03 -1.63522E-03  2.85581E-04
+  6.43383E-02 -1.37738E-03  1.77492E-03  1.23460E-05  1.00400E-03 -1.57642E-03  2.54591E-04
+  7.41327E-02 -1.13318E-03  2.01139E-03  5.41661E-05  5.57791E-04 -1.55234E-03  1.81321E-04
+  8.51224E-02 -7.48240E-04  2.11036E-03  4.03854E-05  2.24948E-04 -1.57163E-03  8.44999E-05
+  9.74166E-02 -3.57705E-04  2.27967E-03  3.06495E-05 -1.90244E-04 -1.57949E-03 -1.70108E-05
+  1.11124E-01  7.24532E-05  2.38515E-03 -2.95339E-07 -5.70831E-04 -1.61558E-03 -8.83615E-05
+  1.26351E-01  4.95077E-04  2.38998E-03  2.16464E-06 -9.23659E-04 -1.68435E-03 -9.05745E-05
+  1.43196E-01  9.16345E-04  2.31881E-03  2.63207E-05 -1.27945E-03 -1.78150E-03 -1.72148E-05
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.360'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.360	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.360	1970-01-01 00:00:00 +0000
@@ -1,194 +0,0 @@
-  # Col. 1:  y/h
-  # Col. 2:  Production term
-  # Col. 3:  Turbulence Transport term
-  # Col. 4:  Viscous Diffusion term
-  # Col. 5:  Velocity Pressure Gradient term
-  # Col. 6:  Viscous Dissipation term
-  # Col. 7:  Convection term
-
-  0.00000E+00  0.00000E+00  0.00000E+00  1.41595E-02  0.00000E+00 -1.41595E-02  0.00000E+00
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-  1.83133E-03  2.97299E-06  2.35336E-04  1.01497E-02  1.29473E-03 -1.16820E-02  5.22996E-07
-  3.26055E-03  1.10643E-05  5.78459E-04  7.23951E-03  2.10977E-03 -9.94480E-03  8.06491E-06
-  4.89542E-03  1.49616E-05  8.68061E-04  4.44138E-03  2.88729E-03 -8.23189E-03  2.32037E-05
-  6.76471E-03  2.06247E-05  1.15606E-03  1.88419E-03  3.52896E-03 -6.63752E-03  5.15698E-05
-  8.90094E-03  2.04718E-05  1.37837E-03 -2.10708E-04  3.97420E-03 -5.25406E-03  9.65225E-05
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-  3.01498E+00  6.09238E-07  1.81416E-08  3.71343E-08  3.87594E-06 -9.46045E-08 -4.48245E-06
-  3.09702E+00  4.49879E-07  1.17154E-08  3.18589E-08  3.38864E-06 -6.98970E-08 -3.84847E-06
-  3.18145E+00  3.35593E-07  1.11209E-08  2.81301E-08  2.98629E-06 -4.44640E-08 -3.34881E-06
-  3.26828E+00  2.56549E-07  9.87231E-09  2.24778E-08  2.66380E-06 -2.21317E-08 -2.95211E-06
-  3.35749E+00  2.04007E-07  5.20575E-09  1.00992E-08  2.37380E-06 -1.02043E-08 -2.59641E-06
-  3.44906E+00  1.66142E-07  2.36821E-09  6.84801E-09  2.11309E-06 -6.14759E-09 -2.29134E-06
-  3.54298E+00  1.39259E-07  1.22639E-09  4.25952E-09  1.88780E-06 -4.06156E-09 -2.03437E-06
-  3.63921E+00  1.19018E-07  4.34262E-10  2.95516E-09  1.69252E-06 -2.84210E-09 -1.81588E-06
-  3.73771E+00  1.01795E-07 -9.41168E-11  2.00587E-09  1.51128E-06 -1.95121E-09 -1.61530E-06
-  3.83845E+00  8.92485E-08 -3.86854E-10  1.45727E-09  1.36376E-06 -1.42381E-09 -1.45429E-06
-  3.94137E+00  7.96967E-08 -6.76710E-10  1.10972E-09  1.24147E-06 -1.08642E-09 -1.32212E-06
-  4.04640E+00  7.17398E-08 -6.65656E-10  8.60719E-10  1.13674E-06 -8.42998E-10 -1.20978E-06
-  4.15349E+00  6.52370E-08 -8.12271E-10  6.77798E-10  1.04719E-06 -6.64028E-10 -1.11423E-06
-  4.26256E+00  5.97680E-08 -8.32541E-10  5.41672E-10  9.70750E-07 -5.30271E-10 -1.03318E-06
-  4.37352E+00  5.52393E-08 -8.83664E-10  4.37952E-10  9.05624E-07 -4.28860E-10 -9.64536E-07
-  4.48628E+00  5.14142E-08 -8.78169E-10  3.58747E-10  8.50243E-07 -3.51011E-10 -9.06516E-07
-  4.60074E+00  4.81543E-08 -7.75106E-10  2.97149E-10  8.03256E-07 -2.90614E-10 -8.57633E-07
-  4.71680E+00  4.54071E-08 -6.96713E-10  2.49115E-10  7.63504E-07 -2.43347E-10 -8.16509E-07
-  4.83435E+00  4.31292E-08 -7.08234E-10  2.11086E-10  7.29994E-07 -2.06109E-10 -7.82007E-07
-  4.95326E+00  4.11992E-08 -6.89490E-10  1.81091E-10  7.01889E-07 -1.76645E-10 -7.53249E-07
-  5.00000E+00  4.05981E-08 -7.39393E-10  1.71871E-10  6.92780E-07 -1.67560E-10 -7.43952E-07

=== added file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.411'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.411	1970-01-01 00:00:00 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.411	2013-04-16 15:27:30 +0000
@@ -0,0 +1,194 @@
+  # Col. 1:  y/h
+  # Col. 2:  Production term
+  # Col. 3:  Turbulence Transport term
+  # Col. 4:  Viscous Diffusion term
+  # Col. 5:  Velocity Pressure Gradient term
+  # Col. 6:  Viscous Dissipation term
+  # Col. 7:  Convection term
+
+  0.00000E+00  0.00000E+00  0.00000E+00  1.55705E-02  0.00000E+00 -1.55705E-02  0.00000E+00
+  5.82380E-04  7.45209E-07 -4.73839E-06  1.43406E-02  4.38997E-04 -1.47746E-02 -3.32662E-07
+  1.83133E-03 -1.85803E-06  2.90758E-04  1.15847E-02  1.25994E-03 -1.31337E-02  2.23334E-06
+  3.26055E-03 -1.84149E-05  8.44910E-04  8.51908E-03  2.02776E-03 -1.13824E-02  1.21270E-05
+  4.89542E-03 -5.03993E-05  1.35599E-03  5.56345E-03  2.74611E-03 -9.63916E-03  2.75706E-05
+  6.76471E-03 -1.08708E-04  1.99196E-03  2.72588E-03  3.30609E-03 -7.96638E-03  5.43837E-05
+  8.90094E-03 -1.99557E-04  2.60421E-03  3.23308E-04  3.64323E-03 -6.46301E-03  9.34818E-05
+  1.13408E-02 -3.26557E-04  2.80057E-03 -1.01253E-03  3.73723E-03 -5.34202E-03  1.42480E-04
+  1.41256E-02 -4.71171E-04  2.78893E-03 -1.88917E-03  3.71818E-03 -4.34143E-03  1.92786E-04
+  1.73017E-02 -6.42832E-04  2.46641E-03 -1.90160E-03  3.46464E-03 -3.63331E-03  2.45621E-04
+  2.09209E-02 -8.24600E-04  2.16644E-03 -1.64267E-03  3.08465E-03 -3.07399E-03  2.94104E-04
+  2.50411E-02 -9.97801E-04  2.03536E-03 -1.46723E-03  2.69432E-03 -2.58688E-03  3.31879E-04
+  2.97262E-02 -1.15418E-03  1.98621E-03 -1.25952E-03  2.29783E-03 -2.21227E-03  3.55492E-04
+  3.50470E-02 -1.28378E-03  1.98600E-03 -1.02645E-03  1.91932E-03 -1.94151E-03  3.63551E-04
+  4.10810E-02 -1.37980E-03  2.00575E-03 -7.91620E-04  1.57369E-03 -1.74608E-03  3.59124E-04
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=== removed file 'examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.411'
--- examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.411	2011-10-30 17:25:22 +0000
+++ examples/backward_facing_step_3d/Ercoftac-test31-BFS/rs11.411	1970-01-01 00:00:00 +0000
@@ -1,194 +0,0 @@
-  # Col. 1:  y/h
-  # Col. 2:  Production term
-  # Col. 3:  Turbulence Transport term
-  # Col. 4:  Viscous Diffusion term
-  # Col. 5:  Velocity Pressure Gradient term
-  # Col. 6:  Viscous Dissipation term
-  # Col. 7:  Convection term
-
-  0.00000E+00  0.00000E+00  0.00000E+00  1.55705E-02  0.00000E+00 -1.55705E-02  0.00000E+00
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-  4.89542E-03 -5.03993E-05  1.35599E-03  5.56345E-03  2.74611E-03 -9.63916E-03  2.75706E-05
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