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Multigrid with Neumann Boundary Conditions

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Old   September 16, 2005, 12:05
Default Multigrid with Neumann Boundary Conditions
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Davoche
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Hi everybody, I've just implement a 3D MultiGrid code with Dirichlet boundary condition which works well.

I'm now trying to resolve a Poisson equation with free boundary conditions. But,I have never dealed with Neumann Conditions (dP/dx=0) at the boundary ( wall ). I have a cell centered resolution and a finite difference scheme.

In fact, I'm wondering if it is sufficient to impose, in the relaxation process, the following p(i+1)=p(i) (where p(i)is a value at the boundary) to impose a Neumann B.C. ??

Thanks

Davoche
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Old   September 17, 2005, 11:25
Default Re: Multigrid with Neumann Boundary Conditions
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Davoche
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I formulate it in a different manner: How to impose Neumann boundary condition in a simple iterative (relaxation) method ?
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Old   September 20, 2005, 07:16
Default Re: Multigrid with Neumann Boundary Conditions
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Tanaka
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Hi All! I want to implement multigrid technique in my THREE Dimensional NS code with cartesian grid. Would anyone please tell in simple terms how to transfer the variables from one grid level (finer) to next grid level (coarser) and vice-versa. I want to grasp the concept. Thank you in advance. Tanaka..

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Old   September 22, 2005, 04:46
Default Re: Multigrid with Neumann Boundary Conditions
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Davoche
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You can take a look in Numerical Recipes for that. It is in 2D cartesian, but the concept is clearly explain and you can easily transpose it to a 3D case. Hope it will help...

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