A numerical technique for two-dimensional grid generation with grid control at all of the boundaries
type: Item
instance of: scholarly article
title: A numerical technique for two-dimensional grid generation with grid control at all of the boundaries
zbMATH Open document ID: 0731.65096
DOI: 10.1016/0021-9991(91)90245-G
author: N. E. Zubov
published in: Journal of Computational Physics
publication date: 1991-01-01T00:00:00Z
review text: Subject of the paper is the use of Poisson equations for the generation of two-dimensional grids. The right hand sides are used to control the geometric behaviour of the grid at the boundary which is important in applications, e.g. for patching grids. The control on the whole boundary is achieved by the choice of power-law functions instead of the conventional exponential functions. For a region having boundaries with large curvature or when clustering grids are required at some particular locations, the control functions can have very large magnitudes. To guarantee a good numerical stability in spite of this fact, the weighting function scheme along with the SIS (susceptible-infected-susceptible) solver is used for the solution of the elliptic grid generation equations. Computed grids illustrate the excellent performance of the developed method.
reviewed by: H.Schmitz
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65Y20
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 4209520
zbMATH Keywords: complex geometry
zbMATH Keywords: Poisson equations
zbMATH Keywords: generation of two-dimensional grids
zbMATH Keywords: patching grids
zbMATH Keywords: clustering grids
zbMATH Keywords: control functions
zbMATH Keywords: numerical stability
zbMATH Keywords: weighting function scheme
zbMATH Keywords: elliptic grid generation equations
zbMATH Keywords: performance
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4209520