Publication: A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries
A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries
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Guillet, T., & Teyssier, R. (2011). A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries. Journal of Computational Physics, 230(12), 4756–4771. https://doi.org/10.1016/j.jcp.2011.02.044
Abstract
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Abstract
We present a new multigrid scheme for solving the Poisson equation with Dirichlet boundary conditions on a Cartesian grid with irregular domain boundaries. This scheme was developed in the context of the Adaptive Mesh Refinement (AMR) schemes based on a graded-octree data structure. The Poisson equation is solved on a level-by-level basis, using a “one-way interface” scheme in which boundary conditions are interpolated from the previous coarser level solution. Such a scheme is particularly well suited for self-gravitating astrophysica
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- Guillet, T
- Teyssier, R
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Citations
Guillet, T., & Teyssier, R. (2011). A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries. Journal of Computational Physics, 230(12), 4756–4771. https://doi.org/10.1016/j.jcp.2011.02.044
