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Adaptive hybrid (prismatic–tetrahedral) grids for incompressible flows
Author(s) -
Chen Alice J.,
Kallinderis Yannis
Publication year - 1998
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(19980515)26:9<1085::aid-fld683>3.0.co;2-5
Subject(s) - discretization , tetrahedron , compressibility , grid , finite volume method , mesh generation , finite element method , pressure correction method , flow (mathematics) , mathematics , incompressible flow , geometry , dissipation , navier–stokes equations , regular grid , mathematical analysis , mechanics , physics , engineering , structural engineering , thermodynamics
Hybrid grids consisting of prisms and tetrahedra are employed for the solution of the 3‐D Navier–Stokes equations of incompressible flow. A pressure correction scheme is employed with a finite volume–finite element spatial discretization. The traditional staggered grid formulation has been substituted with a collocated mesh approach which uses fourth‐order artificial dissipation. The hybrid grid is refined adaptively in local regions of appreciable flow variations. The scheme operations are performed on an edge‐wise basis which unifies treatment of both types of grid elements. The adaptive method is employed for incompressible flows in both single and multiply‐connected domains. © 1998 John Wiley & Sons, Ltd.