Composite overlapping meshes for the solution of partial differential equations

We discuss the generation of curvilinear composite overlapping grids and the numerical solution of partial differential equations on them. A composite overlapping grid consists of a set of curvilinear component grids that cover a region and overlap where they meet. Continuity conditions (interpolati...

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Bibliographic Details
Published in:Journal of computational physics 1990-09, Vol.90 (1), p.1-64
Main Authors: Chesshire, G, Henshaw, W.D
Format: Article
Language:English
Subjects:
Algorithmics. Computability. Computer arithmetics
Applied sciences
Computer science
control theory
systems
Exact sciences and technology
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Sciences and techniques of general use
Theoretical computing
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Summary:We discuss the generation of curvilinear composite overlapping grids and the numerical solution of partial differential equations on them. A composite overlapping grid consists of a set of curvilinear component grids that cover a region and overlap where they meet. Continuity conditions (interpolation) are imposed at the overlapping boundaries. The principal advantage of composite grids is in the generation of grids for regions with complicated geometries. The grid construction program CMPGRD is used to create composite grids with any number of component grids. We describe some techniques for the solution of elliptic and time-dependent PDEs on composite meshes. Applications to the solution of the compressible Navier-Stokes equations are presented.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(90)90196-8