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A finite difference method for 3D flows about bodies of complex geometry in rectangular co‐ordinate systems
Author(s) -
Miyata Hideaki,
Yamada Yoshihiro
Publication year - 1992
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.1650141102
Subject(s) - geometry , mathematics , finite volume method , computation , reynolds number , boundary value problem , complex geometry , finite difference , finite difference method , vortex , flow (mathematics) , mathematical analysis , mechanics , physics , turbulence , algorithm
A finite difference simulation method is developed for 3D flow about a body of complex geometry. The Navier–Stokes equation is approximated by a high‐order‐accurate difference scheme in the framework of rectangular co‐ordinate systems. The configuration of the 3D body is represented by use of both surface porosity and volume porosity and the no‐slip body boundary conditions are approximately implemented on the boundary cells. The validity of the method is demonstrated by a numerical test of flow past a sphere at a Reynolds number of 1000. The complicated structure of separated vortices is well revealed by this test computation. The versatility of the method is shown by application to an ocean‐engineering problem of flow about a bay with an island.