Adaptive methods for elliptic grid generation

The present effort to define a general method for the application of adaptive gridding techniques to elliptic grid generation, in such a way as to retain robust solver features while incorporating such adaptive strategies as those of first and second derivative function adaption, leads to a method t...

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Bibliographic Details
Published in:Journal of computational physics 1988-07, Vol.77 (1), p.40-52
Main Authors: Matsuno, Kenichi, Dwyer, Harry A
Format: Article
Language:English
Subjects:
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
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Summary:The present effort to define a general method for the application of adaptive gridding techniques to elliptic grid generation, in such a way as to retain robust solver features while incorporating such adaptive strategies as those of first and second derivative function adaption, leads to a method that approximates high gradient functions and extends directly to multidimensions. Attention is given to a series of examples in one and three space dimensions; these are independent of the efficiency and convergence of the transport equation algorithms, and furnish a true test of adaptive gridding methods' potential. Grid adaption is most useful where there is an asymptotic steepening of the dependent variable, as is encountered in shocks and flames. (O.C.)
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(88)90155-6