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Boundary-fitted coordinate systems for numerical solution of partial differential equations - A reviewA comprehensive review of methods of numerically generating curvilinear coordinate systems with coordinate lines coincident with all boundary segments is given. Some general mathematical framework and error analysis common to such coordinate systems is also included. The general categories of generating systems are those based on conformal mapping, orthogonal systems, nearly orthogonal systems, systems produced as the solution of elliptic and hyperbolic partial differential equations, and systems generated algebraically by interpolation among the boundaries. Also covered are the control of coordinate line spacing by functions embedded in the partial differential operators of the generating system and by subsequent stretching transformation. Dynamically adaptive coordinate systems, coupled with the physical solution, and time-dependent systems that follow moving boundaries are treated. References reporting experience using such coordinate systems are reviewed as well as those covering the system development.
Document ID
19830048402
Document Type
Reprint (Version printed in journal)
Authors
Thompson, J. F. (Mississippi State Univ. Mississippi State, MS, United States)
Warsi, Z. U. A. (Mississippi State Univ. Mississippi State, MS, United States)
Mastin, C. W. (Mississippi State University Mississippi State, MS, United States)
Date Acquired
August 11, 2013
Publication Date
July 1, 1982
Publication Information
Publication: Journal of Computational Physics
Volume: 47
ISSN: 0021-9991
Subject Category
NUMERICAL ANALYSIS
Funding Number(s)
CONTRACT_GRANT: NGR-25-001-055
CONTRACT_GRANT: AF-AFOSR-80-0185
CONTRACT_GRANT: NSG-1577
CONTRACT_GRANT: DACW39-78-C-0054
CONTRACT_GRANT: DAAG29-80-C-0078
Distribution Limits
Public
Copyright
Other