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Re: Using PDE Toolbox to solve 2D advection equation
Posted:
Mar 13, 2013 8:04 AM


On 3/13/2013 6:54 AM, Nanna wrote: > Hi all, > I've been looking into the PDE Toolbox for teaching purposes. I've > trawled through the Matlab Newsgroup but haven't been able to find a > clear answer to this: I'm trying to find a simple way to use the > toolbox to solve the advection equation in 2D: > dT/dt=u*dT/dx+v*dT/dy > where u and v are the (x,y)components of a velocity field. There is > no diffusion in the system so it's a first order problem. I have my > own solution using finite differences, but I would really like to use > the PDE Toolbox for comparison because of the finite element > approach. All the examples I have found have been second order PDEs  > does any one have a suggestion how to proceed? Preferably in a way > that is suitable for demonstration to 2nd year physics students. > Best, > Nanna
I don't know how to map your problem into the form required by PDE Toolbox: http://www.mathworks.com/help/pde/ug/typesofpdeproblemsyoucansolve.html
Sorry.
Alan Weiss MATLAB mathematical toolbox documentation



