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: <email@example.com>
- 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... >