Re: Convective diffusion equation in 2D
- To: mathgroup at smc.vnet.net
- Subject: [mg79765] Re: Convective diffusion equation in 2D
- From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
- Date: Sat, 4 Aug 2007 05:46:31 -0400 (EDT)
- Organization: The Open University, Milton Keynes, UK
- References: <f8v09f$cbk$1@smc.vnet.net>
dantimatter wrote: > Hello all, > > I'm trying to find a nice and neat way to numerically solve the > convective diffusion equation > > da/dt = D (d^2/dx^2 + d^2/dy^2) a - v da/dx > > where a is the concentration of my solute, D is the diffusion > constant, and v is the surrounding fluid velocity in the x direction. > I thought that there was a small chance that maybe someone else here > has attempted something similar. > Is it even possible to solve this equation? As always, any suggestions > would be much appreciated. > > Cheers, > Dan Oliver Rübenkönig's "Finite Elements for Convection-Diffusion equations" might be worth reading: http://www.imtek.uni-freiburg.de/simulation/mathematica/IMSweb/imsTOC/Application%20Examples/Finite%20Element%20Method/AnemometerAnalysisDocu.html Also, you should have a look at the _IMTEK Mathematica Supplement_ (IMS) http://www.imtek.uni-freiburg.de/simulation/mathematica/IMSweb/ HTH, Jean-Marc