Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates
type: Item
instance of: scholarly article
title: Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates
zbMATH Open document ID: 0883.76060
published in: Journal of Computational Physics
publication date: 1998-03-23T00:00:00Z
review text: A linear analysis of the shallow water equations in spherical coordinates for the Turkel-Zwas (T-Z) explicit large time-step scheme is presented. This coordinate system is more realistic in meteorology and more complicated to analyze, since the coefficients are no longer constant. The analysis suggests that the T-Z scheme must be staggered in a certain way in order to get eigenvalues and eigenfunctions approaching those of the continuous case. Numerical experiments comparing the original (unstaggered) and staggered versions of the T-Z scheme are presented.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 1036494
zbMATH Keywords: staggered scheme
zbMATH Keywords: explicit large time-step scheme
zbMATH Keywords: meteorology
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenfunctions
author: Beny Neta
author: Francis X. Giraldo
author: I. M. Navon
describes a project that uses: Exshall
MaRDI profile type: Publication
full work available at URL: jcph.1997.5657
OpenAlex ID: W2150440946
cites work: Analysis of the Turkel-Zwas scheme for the shallow-water equations
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cites work: Q3867381
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DOI: 10.1006/JCPH.1997.5657
description: scientific article; zbMATH DE number 1036494