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A local adaptive grid procedure for incompressible flows with multigridding and equidistribution concepts
Author(s) -
Moukalled F.,
Acharya S.
Publication year - 1991
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.1650130903
Subject(s) - grid , multigrid method , polygon mesh , mathematics , equidistributed sequence , compressibility , boundary (topology) , flow (mathematics) , mathematical optimization , geometry , algorithm , partial differential equation , mathematical analysis , mechanics , physics
An adaptive grid solution procedure is developed for incompressible flow problems in which grid refinement based on an equidistribution law is performed in high‐error‐estimate regions that are flagged from a preliminary coarse grid solution. Solutions on the locally refined and equidistributed meshes are obtained using boundary conditions interpolated from the preliminary coarse grid solution, and solutions on both the refined and coarse grid regions are successively improved using a multigrid approach. For this purpose, suitable correction terms for the coarse grid equations are derived for all variables in the flagged regions. This procedure with Local Adaptation, Multigridding and Equidistribution (LAME) concepts is applied to various flow problems to demonstrate the accuracy improvements obtained using this method.