Stability, accuracy and efficiency of a semi-implicit method for three- dimensional shallow water flow
type: Item
instance of: scholarly article
title: Stability, accuracy and efficiency of a semi-implicit method for three- dimensional shallow water flow
zbMATH Open document ID: 0796.76052
DOI: 10.1016/0898-1221(94)90059-0
author: E. Cattani
author: Vincenzo Casulli
publication date: 1994-05-24T00:00:00Z
review text: The stability analysis, the accuracy and the efficiency of a semi- implicit finite difference scheme for the numerical solution of a three- dimensional shallow water model are presented and discussed. The governing equations are the three-dimensional Reynolds equations in which pressure is assumed to be hydrostatic. The pressure gradient in the momentum equations and the velocities in the vertically integrated continuity equation are discretized with the \(\theta\)-method, with \(\theta\) being an implicitness parameter. The resulting algorithm is mass conservative and naturally allows for the simulation of flooding and drying of tidal flats.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D99
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 571454
zbMATH Keywords: three-dimensional Reynolds equations
zbMATH Keywords: pressure gradient
zbMATH Keywords: \(\theta\)-method
zbMATH Keywords: flooding
zbMATH Keywords: tidal flats
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)90059-0
OpenAlex ID: W2046167875
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cites work: Q4281376
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 571454