The transfer function analysis of various schemes for the two-dimensional shallow-water equations
type: Item
instance of: scholarly article
title: The transfer function analysis of various schemes for the two-dimensional shallow-water equations
zbMATH Open document ID: 0647.76011
DOI: 10.1016/0898-1221(88)90027-2
publication date: 1988-01-01T00:00:00Z
review text: We discuss the exact solution of the shallow-water equations with no mean flow. We obtain an expression for the phase speed and both group velocities. One part of this paper will be devoted to various finite element and finite difference approximations to the system. The phase speed and group velocities of the schemes will be compared to the exact solutions. The rectangular bilinear elements and the isosceles triangular linear elements are at least as good as the staggered fourth-order C- scheme.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65Z05
zbMATH DE Number: 4057166
zbMATH Keywords: exact solution
zbMATH Keywords: shallow-water equations
zbMATH Keywords: finite difference approximations
zbMATH Keywords: group velocities
zbMATH Keywords: rectangular bilinear elements
zbMATH Keywords: isosceles triangular linear elements
zbMATH Keywords: staggered fourth-order C-scheme
author: Beny Neta
author: Carl L. De Vito
describes a project that uses: REDUCE
MaRDI profile type: Publication
full work available at URL: 0898-1221(88)90027-2
OpenAlex ID: W1975750135
cites work: Q5842266
cites work: The effect of spatial discretization on the steady-state and transient solutions of a dispersive wave equation
cites work: Analysis of the Turkel-Zwas scheme for the shallow-water equations
cites work: Stability and phase speed for various finite element formulations of the advection equation
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4057166