From: bangerth Date: Mon, 30 Oct 2006 17:50:11 +0000 (+0000) Subject: Remove now unnecessary files X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=619f43105fa8f5ef3aa897b23d68f6becfffeb0a;p=dealii-svn.git Remove now unnecessary files git-svn-id: https://svn.dealii.org/trunk@14132 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-21/doc/perm.png b/deal.II/examples/step-21/doc/perm.png deleted file mode 100644 index 1c7fe71ebc..0000000000 Binary files a/deal.II/examples/step-21/doc/perm.png and /dev/null differ diff --git a/deal.II/examples/step-21/doc/pr4meshes.png b/deal.II/examples/step-21/doc/pr4meshes.png deleted file mode 100644 index 0f0afe5798..0000000000 Binary files a/deal.II/examples/step-21/doc/pr4meshes.png and /dev/null differ diff --git a/deal.II/examples/step-21/doc/solp4meshes.png b/deal.II/examples/step-21/doc/solp4meshes.png deleted file mode 100644 index 1a15adf7c3..0000000000 Binary files a/deal.II/examples/step-21/doc/solp4meshes.png and /dev/null differ diff --git a/deal.II/examples/step-21/doc/sols4meshes.png b/deal.II/examples/step-21/doc/sols4meshes.png deleted file mode 100644 index 9cce4b42cd..0000000000 Binary files a/deal.II/examples/step-21/doc/sols4meshes.png and /dev/null differ diff --git a/deal.II/examples/step-21/doc/solu14meshes.png b/deal.II/examples/step-21/doc/solu14meshes.png deleted file mode 100644 index 8264339c3c..0000000000 Binary files a/deal.II/examples/step-21/doc/solu14meshes.png and /dev/null differ diff --git a/deal.II/examples/step-21/doc/solu24meshes.png b/deal.II/examples/step-21/doc/solu24meshes.png deleted file mode 100644 index 4b1971786c..0000000000 Binary files a/deal.II/examples/step-21/doc/solu24meshes.png and /dev/null differ diff --git a/deal.II/examples/step-21/doc/yanli_project_result.tex b/deal.II/examples/step-21/doc/yanli_project_result.tex deleted file mode 100644 index 699f6e6990..0000000000 --- a/deal.II/examples/step-21/doc/yanli_project_result.tex +++ /dev/null @@ -1,42 +0,0 @@ -\documentclass[12pt]{article} -\usepackage[dvips]{graphicx} - -\begin{document} -\section{Result} - -For the test case in Introduction,we do numerical computation on four meshes: -$$h_{1}=2^{-3}, h_{2}=2^{-4}, h_{3}=2^{-5}, h_{4}=2^{-6}$$ - -Our permeability is $K(x,y)=\frac{1.0}{2+1.99*sin(2 \pi \frac{2x-y}{\epsilon})}$:\\ - -\includegraphics[width=6 in]{perm.eps} - -Because of heterogeneity in the medium, the solution for velocity and saturatio are periodic. -Compare the following pictures on four meshes at time $t=T$:\\ -Velocity-x:\\ -\includegraphics[width=5 in]{solu14meshes.eps} -\\ -Velocity-y:\\ -\includegraphics[width=5 in]{solu24meshes.eps} -\\ -Pressure:\\ -\includegraphics[width=5 in]{solp4meshes.eps} -\\ -Saturation:\\ -\includegraphics[width=5 in]{sols4meshes.eps} -\\ -From above comparation, we can see pressure is stable but velocity and saturation are not. -The reason is heterogeneity of the medium and some complexity fo the dynamic systems. -By our direct numerical computation, only fine mesh solution is able to catch the subgrid properties. -That means an accurate well-posed computation requires tremendous amount of computer memory and CPU time. -But usually ,it easily exceed the limit of today's computer resources.\\ -There are some alternative approaches have been developed. A common approach is to "scale up" a heterogeneous medium. -This method is to find an effective representation of permeablility on a coarse mesh so that the large scale flow can be correctly computed on this mesh.The computational cost is thus greatly reduced. -\\ -At last,let's see Oil Production Rate on the boundary $\Gamma_{2}$: -$$ PR(t)=1-\frac{\int_{\Gamma_{2}} (\mathbf{u}\cdot \mathbf{n})F(S)dx}{\int_{\Gamma_{2}} (\mathbf{u} \cdot \mathbf{n})dx}$$ - -\includegraphics[width=6 in]{pr4meshes.eps} - - -\end{document} \ No newline at end of file