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Assessing the quality of curvilinear coordinate meshes by decomposing the Jacobian matrixAn algebraic decomposition of the Jacobian matrix which relates physical and computational variables is presented. This invertible decomposition parameterizes the mesh by the physically intuitive qualities of cell orientation, cell orthogonality, cell volume, and cell aspect ratio. The decomposition can be used to analyze numerically generated curvilinear coordinate meshes and to assess the contribution of the mesh to the truncation error for any specific differential operator and algorithm. This is worked out in detail for Laplace's equation in nonconservative and conservative forms. The analysis is applied to the solution of the full potential code TAIR, showing grid plots, carpet plots, and truncation error for a NACA 0012 airfoil.
Document ID
19830057593
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Kerlick, G. D.
(Nielsen Engineering and Research, Inc. Mountain View, CA, United States)
Klopfer, G. H.
(Nielsen Engineering and Research, Inc. Mountain View, CA, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1982
Subject Category
Numerical Analysis
Meeting Information
Meeting: Numerical grid generation; Symposium on Numerical Generation of Curvilinear Coordinate Systems and Their Use in the Numerical Solution of Partial Differential Equations
Location: Nashville, TN
Start Date: April 13, 1982
End Date: April 16, 1982
Accession Number
83A38811
Funding Number(s)
CONTRACT_GRANT: NAS2-11063
Distribution Limits
Public
Copyright
Other

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