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Elliptic adaptive grid generation and area equidistribution
Author(s) -
Kania Lee
Publication year - 1999
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(19990715)30:5<481::aid-fld694>3.0.co;2-q
Subject(s) - grid , boundary (topology) , mathematics , mesh generation , series (stratigraphy) , code (set theory) , resolution (logic) , grid cell , computer science , mathematical analysis , geometry , finite element method , artificial intelligence , paleontology , physics , set (abstract data type) , biology , thermodynamics , programming language
The derivation of elliptic adaptive grid control functions which satisfy the area equidistribution concept is presented. The resulting expressions are derived without approximation and are shown to provide explicit control over cell area distributions. A modification to the equidistribution concept which yields control functions that enable additional control of the near‐boundary grid resolution is also proposed. A computer code which incorporates these control functions has been developed and is applied to a series of complex fluid flows to demonstrate the validity and utility of the derived expressions. Copyright © 1999 John Wiley & Sons, Ltd.