A robust elliptic grid generator

A variational principle is proposed that results in a robust elliptic grid generator having many of the strengths of original Winslow or homogeneous Thompson-Thames-Mastin method (hTTM). The new grid generator places grid lines more uniformly over the domain than does hTTM, without loss of orthogona...

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Bibliographic Details
Published inJournal of computational physics Vol. 100; no. 2; pp. 409 - 418
Main Author Knupp, Patrick M
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.06.1992
Elsevier
Subjects
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Physics
Grid pattern
Numerical computation
Orthogonality
Partial differential equation
Variational principle
Generator
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Summary:A variational principle is proposed that results in a robust elliptic grid generator having many of the strengths of original Winslow or homogeneous Thompson-Thames-Mastin method (hTTM). The new grid generator places grid lines more uniformly over the domain than does hTTM, without loss of orthogonality. Numerically generated examples are given to demonstrate these effects. Grid quality measures are introduced to quantify differences between discrete grids. Both the hTTM and the new grid generator can generate folded grids on certain pathological regions, but overall they are very robust. Grid weighting for solution-adaptive calculations is briefly considered. Generalization of the new method to surface and volume grid generation is straightforward.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(92)90247-V