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NUMERICAL GRID GENERATION OF AN IRREGULAR REGION
Author(s) -
TSAY TINGKUEI,
HSU FUSENG
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970130)40:2<343::aid-nme68>3.0.co;2-c
Subject(s) - quadrilateral , conformal map , finite element method , grid , domain (mathematical analysis) , geometry , mesh generation , mathematics , boundary (topology) , bounded function , computation , laplace's equation , laplace transform , mathematical analysis , numerical analysis , boundary value problem , algorithm , structural engineering , engineering
A procedure of numerical conformal mapping is established to generate grids of a two‐dimensional irregular region for further computations. The approach employs a sequence of Z n transformations to map an irregular region into a quadrilateral region with right angles at each of the four corners. This quadrilateral region is then transformed into a rectangular domain by using the boundary integral element method to solve the Laplace mapping equations. Grids are generated in the transformed rectangular domain and are mapped inversely into the original irregular region. The present technique of grid generation is demonstrated and verified in two benchmark problems. For physical applications, steady‐state temperature distributions in a circle and an area bounded by two triangles are calculated and verified, using the present techniques. The present technique of numerical conformal mapping can generate grids for the finite element method or boundary‐fitted co‐ordinates for the finite difference method. © 1997 by John Wiley & Sons, Ltd.