Result: Numerical Generation of Three-Dimensional Coordinates between Bodies of Arbitrary Shapes

Title:
Numerical Generation of Three-Dimensional Coordinates between Bodies of Arbitrary Shapes
Authors:
Warsi,Z. U. A., Ziebarth,J. P.
Contributors:
MISSISSIPPI STATE UNIV MISSISSIPPI STATE DEPT OF AEROPHYSICS AND AEROSPACE ENGINEERING
Source:
DTIC AND NTIS
Publication Year:
1982
Collection:
Defense Technical Information Center: DTIC Technical Reports database
Subject Terms:
Grids(Coordinates), Numerical analysis, Partial differential equations, Mathematical models, Aerodynamic control surfaces, Three dimensional, Subroutines, Finite difference theory, Cartesian coordinates, Ellipsoids, Computations, Curvilinear coordinates, Component reports
Document Type:
Academic journal text
File Description:
text/html
Language:
English
Relation:
http://www.dtic.mil/docs/citations/ADP000999
Availability:
http://www.dtic.mil/docs/citations/ADP000999
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADP000999
Rights:
APPROVED FOR PUBLIC RELEASE
Accession Number:
edsbas.8ECB1C4B
Database:
BASE

Further Information

This paper is devoted to the numerical solution of a set of second order elliptic partial differential equations for the generation of three-dimensional curvilinear coordinates between two arbitrary shaped bodies. The central idea of the method is to generate a series of surfaces between the given inner and the outer boundary surfaces and then to connect these surfaces in such a manner so as to have a sufficiently differentiable three-dimensional coordinate net in the enclosed region. It is important to state here that the proposed equations for the numerical solution form a consistent set of second order elliptic equations which are a consequence of the equations of Gauss for a surface. Additional constraints are then imposed which, besides yielding the simplest form of equations for numerical purposes, also preserve the essential geometric properties of the generated surfaces. (Author) ; This article is from Numerical Grid Generation. Proceedings of a Symposium on the Numerical Generation of Curvilinear Coordinate Systems and their Use in the Numerical Solution of Partial Differential Equations, held April 1982, Nashville, Tennessee, AD-A127 498.