# Multigrid with Neumann Boundary Conditions

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 September 16, 2005, 12:05 Multigrid with Neumann Boundary Conditions #1 Davoche Guest   Posts: n/a Sponsored Links 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

 September 17, 2005, 11:25 Re: Multigrid with Neumann Boundary Conditions #2 Davoche Guest   Posts: n/a I formulate it in a different manner: How to impose Neumann boundary condition in a simple iterative (relaxation) method ?

 September 20, 2005, 07:16 Re: Multigrid with Neumann Boundary Conditions #3 Tanaka Guest   Posts: n/a 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..

 September 22, 2005, 04:46 Re: Multigrid with Neumann Boundary Conditions #4 Davoche Guest   Posts: n/a 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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