A Direct Multigrid Poisson Solver for Oct-Tree Adaptive Meshes

Details A Direct Multigrid Poisson Solver for Oct-Tree Adaptive Meshes A Direct Multigrid Poisson Solver for Oct-Tree Adaptive Meshes

2007-10-24

arxiv.org/abs/0710.4397v3

Astronomy and Astrophysics

Astrophysics

10 pages, 6 figures, accepted by the Astrophysical Journal; minor revisions in response to referee's comments; added charm

Scientific paper

10.1086/526425

We describe a finite-volume method for solving the Poisson equation on oct-tree adaptive meshes using direct solvers for individual mesh blocks. The method is a modified version of the method presented by Huang and Greengard (2000), which works with finite-difference meshes and does not allow for shared boundaries between refined patches. Our algorithm is implemented within the FLASH code framework and makes use of the PARAMESH library, permitting efficient use of parallel computers. We describe the algorithm and present test results that demonstrate its accuracy.

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