Numerical generation of three-dimensional coordinates between bodies of arbitrary shapes
type: Item
instance of: scholarly article
title: Numerical generation of three-dimensional coordinates between bodies of arbitrary shapes
zbMATH Open document ID: 0539.65085
DOI: 10.1016/0096-3003(82)90217-X
author: J. P. Ziebarth
author: Zahir U. A. Warsi
published in: Applied Mathematics and Computation
publication date: 1982-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 3858360
zbMATH Keywords: Gauss equations
zbMATH Keywords: Laplace equations
zbMATH Keywords: Riemann tensor
zbMATH Keywords: coordinate generation
zbMATH Keywords: curvilinear coordinates
MaRDI profile type: Publication
cites work: Q5790826
cites work: Basic differential models for coordinate generation
full work available at URL: 0096-3003(82)90217-x
OpenAlex ID: W2065174134
description: scientific article; zbMATH DE number 3858360