Computational conformal mapping for surface grid generation
type: Item
instance of: scholarly article
title: Computational conformal mapping for surface grid generation
zbMATH Open document ID: 0851.65079
author: C. Wayne Mastin
author: Ahmed Khamayseh
published in: Journal of Computational Physics
publication date: 1996-07-02T00:00:00Z
review text: The present paper is concerned with numerical grid generation as an essential element of the numerical solution of partial differential equations on arbitrary regions. The paper is devoted to employment of conformal mapping to develop a new methodology for generation of curvilinear coordinates on arbitrary surfaces and construction of optimal grids on complex geometries. At first the authors describe basic properties and advantages of conformal mapping from two-dimensional regions to three-dimensional surfaces. The authors formulate the generation equations for the surface case, establish relationship and connection between the derived equations based on conformal mapping and those derived for planar regions based on quasi-conformal mapping. One of the purposes of the present work is to construct the desired high quality surface grids on a given geometry. To accomplish this task effectiveness of proposed strategies is represented by a number of examples that demonstrate the application of the method in practical grid construction.
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 30C30
zbMATH DE Number: 881862
zbMATH Keywords: numerical examples
zbMATH Keywords: numerical grid generation
zbMATH Keywords: conformal mapping
zbMATH Keywords: curvilinear coordinates
zbMATH Keywords: complex geometries
zbMATH Keywords: quasi-conformal mapping
zbMATH Keywords: high quality surface grids
reviewed by: Peter P. Matus
MaRDI profile type: Publication
full work available at URL: jcph.1996.0032
OpenAlex ID: W1998110177
DOI: 10.1006/JCPH.1996.0032
description: scientific article; zbMATH DE number 881862