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NONINVASIVE MULTIGRID FOR SEMISTRUCTURED GRIDS
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DOI：10.1137/20M1375413.png)
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摘要
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Multigrid solvers for semistructured meshes are developed. Such semistructured meshes provide flexibility to address complex computational domains while still allowing most multigrid calculations to be accomplished using efficient structured grid ideas and kernels. The considered meshes center around the concept of block structured grids, i.e., a union of fully structured mesh blocks, or region structured grids, where some of the mesh blocks are allowed to be unstructured to enhance meshing flexibility. In both cases, meshes conform at the block or region interfaces. Overall, we aim to develop a multigrid framework for region structured grids that can easily be adopted by application codes without invasive changes to the existing code base. In particular, we target existing application codes that have been developed and optimized for unstructured meshes. To this end, the paper first proposes a formal mathematical framework for describing the semistructured solver. Then, this formalism allows us to precisely define the associated multigrid method and to show its relationship to a more traditional multigrid solver. Additionally, the mathematical framework clarifies the associated software design and implementation. Numerical experiments highlight the relationship of the new solver with classical multigrid. We also demonstrate the generality and potential performance gains associated with this type of semistructured multigrid as well as showcase its application to hypersonic flow problems and for meshes with structured/unstructured mesh interfaces.
Keyword:
multigrid
semistructured grids
noninvasive
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
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