Re: NDSolve: PDE's with more than 2 indep. variables.
- To: mathgroup at smc.vnet.net
- Subject: [mg85333] Re: NDSolve: PDE's with more than 2 indep. variables.
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Wed, 6 Feb 2008 05:42:16 -0500 (EST)
- Organization: Uni Leipzig
- References: <fob009$hs0$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
Hi, the larger problem is, that for fluid dynamics, you need a time integration that is not dissipative and I would expect that NDSolve[] has no TVD method implemented and the finite difference approximations it compute are not of ENO type. And you may run into serious memory problems when you need to construct a 4d (space+time) interpolation function. But it is easy to implement you own solver. Regards Jens LMZ wrote: > Hi folks: > > Is there any way at all to use NDSolve to solve PDE's with more than 2 > independent variables. This is actually very important, because if the > answer is no, then it makes impossible the use of Mathematica in a > huge field: Fluid Dynamics, in which we'd like to numerically model > the evolution in time of the velocity or vorticity field. Depending on > whether there are 2 or 3-D, this could involve 3 or four indep > variables. Is there ANY package or version of Mathematica that allows > this to be done? None of the NDSolve examples in Help have more than 2 > variables (x,t). I have version 3.0. When I try to NDSolve with limits > on 3 variables, it complains that it was expecting Options at position > four in NDSolve, not another variable. > > got from here http://forums.wolfram.com/student-support/topics/3194 > > maybe from 99 something changed... >