From: salgado Date: Tue, 22 Sep 2009 18:44:02 +0000 (+0000) Subject: I changed the intro section to reflect the new treatment of the boundary X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=6d0f4bff58fd0749d55b35700c4549670063c5f7;p=dealii-svn.git I changed the intro section to reflect the new treatment of the boundary conditions and what this implies for the weak formulation. git-svn-id: https://svn.dealii.org/trunk@19491 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-35/doc/Re100t0.png b/deal.II/examples/step-35/doc/Re100t0.png new file mode 100644 index 0000000000..574d7e860b Binary files /dev/null and b/deal.II/examples/step-35/doc/Re100t0.png differ diff --git a/deal.II/examples/step-35/doc/Re100t1.png b/deal.II/examples/step-35/doc/Re100t1.png new file mode 100644 index 0000000000..dccf8251ee Binary files /dev/null and b/deal.II/examples/step-35/doc/Re100t1.png differ diff --git a/deal.II/examples/step-35/doc/Re100t10.png b/deal.II/examples/step-35/doc/Re100t10.png new file mode 100644 index 0000000000..a47c715415 Binary files /dev/null and b/deal.II/examples/step-35/doc/Re100t10.png differ diff --git a/deal.II/examples/step-35/doc/Re100t3.png b/deal.II/examples/step-35/doc/Re100t3.png new file mode 100644 index 0000000000..0ca93b1f24 Binary files /dev/null and b/deal.II/examples/step-35/doc/Re100t3.png differ diff --git a/deal.II/examples/step-35/doc/Re100t5.png b/deal.II/examples/step-35/doc/Re100t5.png new file mode 100644 index 0000000000..e468c59e33 Binary files /dev/null and b/deal.II/examples/step-35/doc/Re100t5.png differ diff --git a/deal.II/examples/step-35/doc/Re100t8.png b/deal.II/examples/step-35/doc/Re100t8.png new file mode 100644 index 0000000000..ab62fdf0c2 Binary files /dev/null and b/deal.II/examples/step-35/doc/Re100t8.png differ diff --git a/deal.II/examples/step-35/doc/geometry.gif b/deal.II/examples/step-35/doc/geometry.gif deleted file mode 100644 index 0343b1f0d1..0000000000 Binary files a/deal.II/examples/step-35/doc/geometry.gif and /dev/null differ diff --git a/deal.II/examples/step-35/doc/geometry.png b/deal.II/examples/step-35/doc/geometry.png deleted file mode 100644 index 4d8cae94c2..0000000000 Binary files a/deal.II/examples/step-35/doc/geometry.png and /dev/null differ diff --git a/deal.II/examples/step-35/doc/intro.dox b/deal.II/examples/step-35/doc/intro.dox index 0dfe1b88c1..a79873627f 100644 --- a/deal.II/examples/step-35/doc/intro.dox +++ b/deal.II/examples/step-35/doc/intro.dox @@ -29,9 +29,14 @@ condition, is It is possible to prescribe other boundary conditions as well. In the test case that we solve here the boundary is partitioned into two disjoint subsets $\partial\Omega = \Gamma_1 \cup \Gamma_2$ and we have @f[ - u|_{\Gamma_1} = u_b, \qquad u\times n|_{\Gamma_2} = 0. + u|_{\Gamma_1} = u_b, @f] -where $n$ is the outer unit normal. The boundary condition on $\Gamma_2$ is used to model outflow conditions. +and +@f[ + u\times n|_{\Gamma_2} = 0, \quad p|_{\Gamma_2} = 0 +@f] +where $n$ is the outer unit normal. The boundary conditions on $\Gamma_2$ are often +used to model outflow conditions. In previous tutorial programs (see for instance @ref step_20 "step-20" and @ref step_22 "step-22") we have seen @@ -63,8 +68,7 @@ Let us shortly describe how the projection methods look like in a semi-discrete obtain a sequence of velocities $\{u^k\}$ and pressures $\{p^k\}$. We will also obtain a sequence $\{\phi^k\}$ of auxiliary variables. Suppose that from the initial conditions, and an application of a first order method we have found -$(u^0,p^0,\phi^0=0)$ and $(u^1,p^1,\phi^1=p^1-p^0)$. Then the projection method consists of three steps: - +$(u^0,p^0,\phi^0=0)$ and $(u^1,p^1,\phi^1=p^1-p^0)$. Then the projection method consists of the following steps: