Merge lp:~meg-simula/fenics-book/chap31-fix into lp:fenics-book

Proposed by Marie Rognes
Status: Merged
Merged at revision: 1037
Proposed branch: lp:~meg-simula/fenics-book/chap31-fix
Merge into: lp:fenics-book
Diff against target: 21 lines (+3/-1)
1 file modified
tex/31.tex (+3/-1)
To merge this branch: bzr merge lp:~meg-simula/fenics-book/chap31-fix
Reviewer Review Type Date Requested Status
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Review via email: mp+79792@code.launchpad.net
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1=== modified file 'tex/31.tex'
2--- tex/31.tex 2011-10-18 06:19:51 +0000
3+++ tex/31.tex 2011-10-19 10:48:26 +0000
4@@ -173,6 +173,7 @@
5 \\
6 \dot{\varepsilon}(u) &= \frac{1}{2} \left (\Grad u + \Grad u^{\top} \right),
7 \\
8+\label{vynnytska:eq:viscosity}
9 \eta &= \eta(T, x_2) = \eta_0 \exp \left( -b T/\Delta T + c (h - x_2)/ h \right) .
10 \end{align}
11 Here, $\dot {\varepsilon}$ is the strain rate tensor, $\eta_0$ is (still)
12@@ -631,7 +632,8 @@
13 convection simulation, calculated on a mesh constructed by dividing
14 the domain into $160 \times 80$ squares. Each square is split into two
15 triangles by the right diagonal. The $C_{\mathrm{CFL}}$ time step
16-parameter in~\eqref{vynnytska:eq:timestep} is $0.5$.
17+parameter in~\eqref{vynnytska:eq:timestep} is $0.5$, while $b =
18+\ln(2.5)$ and $c = \ln(2.0)$ in~\eqref{vynnytska:eq:viscosity}.
19
20 The equations presented in Section~\ref{vynnytska:sec:maths} are
21 dimensionalised using the physical parameters in

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