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A PRESSURE CORRECTION METHOD FOR UNSTRUCTURED MESHES WITH ARBITRARY CONTROL VOLUMES
Author(s) -
DAVIDSON LARS
Publication year - 1996
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/(sici)1097-0363(19960229)22:4<265::aid-fld359>3.0.co;2-j
Subject(s) - laminar flow , preconditioner , polygon mesh , solver , discretization , finite volume method , pressure correction method , incompressible flow , mesh generation , mathematics , unstructured grid , flow (mathematics) , compressible flow , compressibility , geometry , grid , mathematical analysis , mechanics , mathematical optimization , finite element method , physics , linear system , thermodynamics
A pressure correction procedure for general unstructured meshes is presented. It is a cell‐centred, collocated finite volume method and the pressure–velocity coupling is treated using SIMPLEC. The cells can have an arbitrary number of grid points (cell vertices). In the present study the number of faces on the cells varies between three and six. The discretized equations are solved using either a symmetric Gauss–Seidel solver or a conjugate gradient solver with a preconditioner. The method is applied to three two‐dimensional test cases in which the flow is incompressible and laminar. The extension to three dimensions as well as to turbulent flow using transport models is straightforward. It can also be extended to handle compressible flow.