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Grid generation using differential systems techniquesThe errors in approximating the derivatives of a function by traditional central differences at grid points of a curvilinear coordinate system were examined. The implications concerning the accuracy of the numerical solution of a partial differential equation are explained by considering several numerical examples. Although this study only considers the two dimensional case, the techniques and implications are equally valid for three dimensional grids. An interesting feature of the error analysis is its simplicity. Most of the results follow by merely working with the truncation terms of some power series expansion. These series expansions also give rise to higher order difference approximations which can significantly reduce error when the grid spacing changes rapidly, as might be the case in problems with shock waves or thin boundary layers.
Document ID
19810006178
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Thompson, J. F.
(Mississippi State Univ. Mississippi State, MS, United States)
Mastin, C. W.
(Mississippi State Univ. Mississippi State, MS, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1980
Publication Information
Publication: NASA. Langley Research Center Numerical Grid Generation Tech.
Subject Category
Numerical Analysis
Accession Number
81N14692
Funding Number(s)
CONTRACT_GRANT: NGR-25-001-055
CONTRACT_GRANT: NSG-1577
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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