Convective diffusion equation in 2D

*To*: mathgroup at smc.vnet.net*Subject*: [mg79741] Convective diffusion equation in 2D*From*: dantimatter <dantimatter at gmail.com>*Date*: Fri, 3 Aug 2007 06:27:08 -0400 (EDT)

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