A Laplacian equation method for numerical generation of boundary-fitted 3D orthogonal grids
type: Item
instance of: scholarly article
title: A Laplacian equation method for numerical generation of boundary-fitted 3D orthogonal grids
zbMATH Open document ID: 0676.65118
DOI: 10.1016/0021-9991(89)90049-1
author: T. Theodoropoulos
author: G. Bergeles
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: The generation of orthogonal curvilinear grids in a three-dimensional domain is considered in view of their application to flow problems. The orthogonal curvilinear coordinates are found as solutions of the Laplace equation that is nonlinear in nature due to the metric tensor involved. Some simplifications are applied to these equations which are discretized in the following by finite differences. The orthogonality requirements on the boundary and the description of the boundary surfaces require some additional considerations. A series of examples illustrate the numerical method for the grid generation.
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 4108107
zbMATH Keywords: flow fields
zbMATH Keywords: generation of orthogonal curvilinear grids
zbMATH Keywords: orthogonal curvilinear coordinates
zbMATH Keywords: Laplace equation
zbMATH Keywords: finite differences
zbMATH Keywords: grid generation
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90049-1
OpenAlex ID: W2005102340
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description: scientific article; zbMATH DE number 4108107