From: Wolfgang Bangerth Date: Fri, 11 Sep 2009 03:43:45 +0000 (+0000) Subject: Note that the equation is decoupled. X-Git-Tag: v8.0.0~7132 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=ecc287850f40b7713b5c318bc383feb67d902e42;p=dealii.git Note that the equation is decoupled. git-svn-id: https://svn.dealii.org/trunk@19441 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-35/doc/intro.dox b/deal.II/examples/step-35/doc/intro.dox index f0b75738aa..734b3ad40d 100644 --- a/deal.II/examples/step-35/doc/intro.dox +++ b/deal.II/examples/step-35/doc/intro.dox @@ -65,6 +65,11 @@ $(u^0,p^0,\phi^0=0)$ and $(u^1,p^1,\phi^1=p^1-p^0)$. Then the projection method \quad u^{k+1}|_{\partial\Omega} = 0. @f] + Note in particular that this formulation completely decouples the velocity + components from each other. As a consequence, rather than having to solve a + coupled system for all $d$ velocities together, we can solve $d$ independent + equations which, conveniently also all share the same system matrix. +
  • Step 2: Projection. Find $\phi^{k+1}$ that solves @f[ \Delta \phi^{k+1} = \frac3{2\tau} \nabla \cdot u^{k+1},