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A numerical procedure for the generation of orthogonal body‐fitted co‐ordinate systems with direct determination of grid points on the boundary
Author(s) -
Papantonis Dimitris E.,
Athanassiadis Nicholas A.
Publication year - 1985
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.1650050304
Subject(s) - curvilinear coordinates , grid , boundary (topology) , mathematics , geometry , laplace transform , mathematical analysis , domain (mathematical analysis) , relaxation (psychology) , boundary value problem , mesh generation , finite element method , physics , thermodynamics , psychology , social psychology
The procedure proposed is based on the solution by finite difference means of a set of Laplace's equations, by the application of a relaxation method. The curvilinear orthogonal grid so generated is fitted to a 2‐D physical domain with closed boundary and the contribution of the present work consists in the arbitrary choice of grid points on two adjacent boundaries, in order to achieve the desired density of grid points where the geometry of the boundaries varies rapidly. The method proposed is rapid and stable. Some characteristic examples are finally presented.