Composite Grid Construction and Applications

Author: Chesshire, Geoffrey Samuel

Year: 1986

Degree: Dissertation (Ph.D.)

Advisor: Kreiss, Heinz-Otto

Committee Member: Unknown, Unknown

Option: Applied Mathematics

DOI: 10.7907/K5KS-4N46

Abstract

For many problems that involve the discrete representation of a function on a two-dimensional region, a single rectangular grid is inappropriate. However, any compact region with a smooth boundary can be discretised using a composite grid, which provides boundary-fitted coordinates and allows stretched coordinates for boundary layers and internal layers wherever these are needed. We have developed interactive software for specifying composite grids, and general-purpose subroutines for using them in discretising PDE boundary-value problems. The discretisation of an elliptic BVP with an internal layer and of a supersonic flow problem are given as examples of the uses of composite grids and the capabilities of the software.

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