Re: Convective diffusion equation in 2D

*To*: mathgroup at smc.vnet.net*Subject*: [mg79812] Re: Convective diffusion equation in 2D*From*: dantimatter <dantimatter at gmail.com>*Date*: Sun, 5 Aug 2007 04:54:19 -0400 (EDT)*References*: <f8v09f$cbk$1@smc.vnet.net><f91i6t$5hi$1@smc.vnet.net>

> With[{\[ScriptCapitalD] = 1/8, v = 1/4}, > sol = NDSolve[{ > D[u[x, y, t], > t] == \[ScriptCapitalD] (D[u[x, y, t], {x, 2}] + > D[u[x, y, t], {y, 2}]) - v*D[u[x, y, t], x], > u[-1, y, t] == 0, u[1, y, t] == 0, > u[x, -1, t] == 0, u[x, 1, t] == 0, > u[x, y, 0] == Piecewise[{{1, Sqrt[x^2 + y^2] <= 0.5}}, 0]}, > u[x, y, t], {x, -1, 1}, {y, -1, 1}, {t, 0, 2} > ] > ] > > may do that .. Ignore the warnings you get with the > statement above, the reason are the initial conditions > and you may have other. Hi Jens, I wasn't able to plot the result. Have you tried this and successfully plotted it? Cheers, Dan