Composite Grid Construction and Applications

Citation

Chesshire, Geoffrey Samuel (1986) Composite Grid Construction and Applications. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/K5KS-4N46. https://resolver.caltech.edu/CaltechETD:etd-03242008-145553

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.

Thesis Files