Composite Grid Construction and Applications

Composite Grid Construction and Applications

<p>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 allo...

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Main Author: Chesshire, Geoffrey Samuel
Format: Others
Published: 1986
Online Access:https://thesis.library.caltech.edu/1105/1/Chesshire_gs_1986.pdf
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 <https://resolver.caltech.edu/CaltechETD:etd-03242008-145553>
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spelling ndltd-CALTECH-oai-thesis.library.caltech.edu-11052019-12-22T03:06:15Z Composite Grid Construction and Applications Chesshire, Geoffrey Samuel <p>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.</p> 1986 Thesis NonPeerReviewed application/pdf https://thesis.library.caltech.edu/1105/1/Chesshire_gs_1986.pdf https://resolver.caltech.edu/CaltechETD:etd-03242008-145553 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 <https://resolver.caltech.edu/CaltechETD:etd-03242008-145553> https://thesis.library.caltech.edu/1105/
collection NDLTD
format Others
sources NDLTD
description <p>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.</p>
author Chesshire, Geoffrey Samuel
spellingShingle Chesshire, Geoffrey Samuel
Composite Grid Construction and Applications
author_facet Chesshire, Geoffrey Samuel
author_sort Chesshire, Geoffrey Samuel
title Composite Grid Construction and Applications
title_short Composite Grid Construction and Applications
title_full Composite Grid Construction and Applications
title_fullStr Composite Grid Construction and Applications
title_full_unstemmed Composite Grid Construction and Applications
title_sort composite grid construction and applications
publishDate 1986
url https://thesis.library.caltech.edu/1105/1/Chesshire_gs_1986.pdf
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 <https://resolver.caltech.edu/CaltechETD:etd-03242008-145553>
work_keys_str_mv AT chesshiregeoffreysamuel compositegridconstructionandapplications
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