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Composite Grid Construction and Applications


Chesshire, Geoffrey Samuel (1986) Composite Grid Construction and Applications. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/K5KS-4N46.


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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Applied Mathematics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Applied Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Kreiss, Heinz-Otto
Thesis Committee:
  • Kreiss, Heinz-Otto (chair)
Defense Date:15 May 1986
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Department of Energy (DOE)DE-AA03-76SF0076
Office of Naval Research (ONR)N00014-83-K-0422
Record Number:CaltechETD:etd-03242008-145553
Persistent URL:
Related URLs:
URLURL TypeDescription adapted for Appendix 2.
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1105
Deposited By: Imported from ETD-db
Deposited On:04 Apr 2008
Last Modified:21 Dec 2019 02:58

Thesis Files

PDF (Chesshire_gs_1986.pdf) - Final Version
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