Numerical treatment of polar coordinate singularities
type: Item
instance of: scholarly article
title: Numerical treatment of polar coordinate singularities
zbMATH Open document ID: 0981.76075
author: Kamran Mohseni
author: Tim Colonius
published in: Journal of Computational Physics
publication date: 2000-05-01T00:00:00Z
review text: The authors present a method for eliminating the coordinate singularities whereby singular coordinates are redefined so that data are smoothly differentiated through the pole. The method avoids to place a grid point directly at the pole, and consequently eliminates the need for any pole equation. It appears to be an effective and systematic way to treat many scalar and vector equations in cylindrical and spherical coordinates.
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76N99
zbMATH DE Number: 1422659
zbMATH Keywords: compressible unsteady equations
zbMATH Keywords: cylindrical coordinates
zbMATH Keywords: modified radial coordinate
zbMATH Keywords: radial derivatives
zbMATH Keywords: coordinate singularities
zbMATH Keywords: spherical coordinates
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
OpenAlex ID: W2040148987
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DOI: 10.1006/JCPH.1999.6382
description: scientific article; zbMATH DE number 1422659