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Unstructured volume‐agglomeration MG: Solution of the Poisson equation
Author(s) -
Koobus Bruno,
Lallemand MarieHélène,
Dervieux Alain
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650180103
Subject(s) - multigrid method , polygon mesh , euler equations , poisson's equation , poisson distribution , finite volume method , mathematics , economies of agglomeration , euler's formula , volume (thermodynamics) , mathematical optimization , mathematical analysis , partial differential equation , geometry , physics , mechanics , engineering , statistics , quantum mechanics , chemical engineering
We are interested in solving second‐order PDEs with multigrid and unstructured meshes. The multigrid strategy we present here is adapted from the generalized finite volume agglomeration multigrid algorithm we have developed recently for the solution of the Euler equations. We now focus on Poisson's equation. A strategy is defined by introducing a correction factor for the diffusive terms, and some illustrating results are given.