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TOMCAT - A code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two-dimensional bodiesA method for automatic generation of boundary-fitted curvilinear coordinate systems, where the transformed coordinates are solutions of an elliptic differential system in the physical plane, and where the coordinate lines are coincident with all boundaries of a general multiply-connected, two-dimensional region containing any number of arbitrarily shaped bodies, and is described along with a suitable computer code for implementing the method. Any partial differential system can be solved on the boundary-fitted coordinate system by appropriate transformations. The transformed equations are approximated by finite differences and solved numerically in the transformed plane. All computations, whether for generating coordinate system or then solving the transformed equations, can be done on a rectangular field with square mesh with no interpolation required on the boundaries. The physical boundaries may even be time-dependent.
Document ID
19770057720
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Thompson, J. F.
(Mississippi State Univ. Mississippi State, MS, United States)
Thames, F. C.
(Mississippi State Univ. Mississippi State, MS, United States)
Mastin, C. W.
(Mississippi State University Mississippi State, Miss., United States)
Date Acquired
August 9, 2013
Publication Date
July 1, 1977
Publication Information
Publication: Journal of Computational Physics
Volume: 24
Subject Category
Aerodynamics
Accession Number
77A40572
Funding Number(s)
CONTRACT_GRANT: NGR-25-001-055
Distribution Limits
Public
Copyright
Other

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