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Old   November 19, 2002, 11:23
Default Solve Poisson equation
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Linfeng BI
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HI,all I am trying to implement a Poisson solver(firstly 2D) using FFT. All boundaries are von Neumann. I employ a cosine FFT along x direction and then solve tridiagnal systems along y for each wave number K. But you know the matrix for K=0 is singular. While some articles say that it can be decided by the properties of the physical problem,but I do not know what the tricks are. Any comments are greatly appreciated! Linfeng
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Old   November 19, 2002, 13:54
Default Re: Solve Poisson equation
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Ben Houston
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Try Jos Stam's paper on the topic: Jos Stam, "A Simple Fluid Solver based on the FFT", Journal of Graphics Tools Volume 6, Number 2, 2001, 43-52

Avaiable here: http://www.dgp.toronto.edu/people/st...earch/pub.html

Cheers... -ben houston http://www.exocortex.org/ben
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Old   November 20, 2002, 10:09
Default Re: Solve Poisson equation
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Linfeng BI
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The paper is interesting,but it says little about the FFT boundary treatment.Thank you,anyway.

Linfeng
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Old   November 20, 2002, 13:28
Default Re: Solve Poisson equation
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Ben Houston
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Well, there is some discussion as well in Numerical Recipes about FFT and boundary conditions. But its been a while since I've looked at it.
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Old   November 21, 2002, 00:46
Default Re: Solve Poisson equation
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Linfeng BI
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Yeah!thanks,Ben.I read through the chapters there and got a much more clearer concept about it. And then, I made it!

Sincerely,
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