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Generation of Surface Coordinates by Elliptic Partial Differential EquationsThe problem of generating spatial coordinates by numerical methods through carefully selected mathematical models is of current interest both in mechanics and physics. The problem of generation of a desired system of coordinates in a given surface was considered, which essentially is an effort directed to the problem of grid generation in a two-dimensional non-Euclidean space. The mathematical model selected for this purpose is based on the formulae of Gauss for a surface. The proposed equations can be used to generate a new coordinate system from the data of an already given coordinate system in a surface. If the coefficients of the first and second fundamental forms have been given, then the proposed equations can be used to generate a surface satisfying the given data (surface fitting). The proposed equations can also be used to generate surfaces in the space between two arbitrary given surfaces, thus providing 3D grids in an Euclidean space.
Document ID
19850020271
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Warsi, Z. U. A.
(Mississippi State Univ. Mississippi State, MS, United States)
Date Acquired
August 12, 2013
Publication Date
June 1, 1985
Publication Information
Publication: NASA. Langley Research Center Computational Geometry and Computer-Aided Design
Subject Category
Numerical Analysis
Accession Number
85N28583
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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