Computational Conformal Mapping for Surface Grid Generation
The paper describes the development and application of a new approach for formulating an elliptic generation system on parametrically defined surfaces. The present derivation of the surface equations proceeds in two steps: First, conformal mapping of smooth surfaces onto rectangular regions is utili...
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Published in | Journal of computational physics Vol. 123; no. 2; pp. 394 - 401 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier Inc
01.02.1996
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Online Access | Get full text |
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Summary: | The paper describes the development and application of a new approach for formulating an elliptic generation system on parametrically defined surfaces. The present derivation of the surface equations proceeds in two steps: First, conformal mapping of smooth surfaces onto rectangular regions is utilized to derive a first-order system of partial differential equations analogous to Beltrami's system for quasi-conformal mapping of planar regions. Second, a general elliptic generation system for three-dimensional surfaces, including forcing functions, is formulated based on Beltrami's system and quasi-conformal mapping. The resulting elliptic system is solved using an iterative method on arbitrary surfaces represented analytically by rational B-splines. The overall effect of this approach is a reliable and versatile elliptic method for generating and improving surface grids. Examples will be presented to demonstrate the application of the method in constructing practical grids. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0021-9991 1090-2716 |
DOI: | 10.1006/jcph.1996.0032 |