A noniterative method for the generation of orthogonal coordinates in doublyconnected regions
Authors:
Z. U. A. Warsi and J. F. Thompson
Journal:
Math. Comp. 38 (1982), 501516
MSC:
Primary 65N50; Secondary 30C60, 31A05
DOI:
https://doi.org/10.1090/S00255718198206456663
MathSciNet review:
645666
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Abstract  References  Similar Articles  Additional Information
Abstract: In this paper a noniterative method for the numerical generation of orthogonal curvilinear coordinates for plane annular regions between two arbitrary smooth closed curves has been developed. The basic generating equation is the Gaussian equation for a Euclidean space under the constraint of orthogonality. The resulting equation has been solved analytically for the case of isothermic coordinates. A coordinate transformation then yields nonisothermic coordinates in which the outgoing coordinate can be distributed in any desired manner. The method has been applied in many cases and these test results demonstrate that the proposed method can be readily applied in a variety of problems.

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Additional Information
Keywords:
Grid generation,
mappings,
potential theory
Article copyright:
© Copyright 1982
American Mathematical Society