Accession Number : ADP000968
Title : Basic Differential Models for Coordinate Generation,
Corporate Author : MISSISSIPPI STATE UNIV MISSISSIPPI STATE DEPT OF AEROPHYSICS AND AEROSPACE ENGINEERING
Personal Author(s) : Warsi,Z. U. A.
Report Date : 1982
Pagination or Media Count : 37
Abstract : This paper examines in detail the analytical aspects of three distinct methods of coordinate generation based on partial differential equations, in either two or three dimensions. The first method is based on the Gauss equations of a surface under the constraint of the Beltrami's second order equations. These equations have been structured in such a way that an automatic connection is established between the succeeding generated surfaces. The second method is a re-examination of those equations which are based on the inhomogeneous Laplace equations. This analysis reveals a new form for the terms which play a role in the concentration of coordinate lines and in the adaptive coordinate system generation. The third method pertains to a set of equations in the metric coefficients which is obtained by setting the Riemann's curvature tensor to zero.
Descriptors : *Grids(Coordinates), *Mathematical models, *Partial differential equations, *Methodology, Laplace transformation, Tensor analysis, Coefficients, Two dimensional, Three dimensional, Numerical analysis, Cartesian coordinates, Algorithms
Distribution Statement : APPROVED FOR PUBLIC RELEASE