TECHNICAL PAPERS
Oct 1, 1993

Oscillation‐Free Solution of Shallow Water Equations for Nonstaggered Grid

Publication: Journal of Hydraulic Engineering
Volume 119, Issue 10

Abstract

This paper contains a description of the method for the solution of the shallow water equations on nonstaggered grid points. The shallow water equations are split up in relation to the independent variables x and y as well as physical processes. Such a procedure reduces a solution of two‐dimensional problem to the solution of a number of one‐dimensional problems. A spatial discretization of these one‐dimensional equations is based on the finite difference method and the finite element method with the use of the nonstaggered numerical grid. The applied schemes of approximation ensure a smooth solution without oscillations of type “2Δ.”

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References

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 119Issue 10October 1993
Pages: 1118 - 1137

History

Received: Jan 14, 1992
Published online: Oct 1, 1993
Published in print: Oct 1993

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Authors

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Romuald Szymkiewicz
Assoc. Prof., Faculty of Hydro‐Engrg., Technical Univ. of Gdansk, 80‐952 Gdansk, Poland

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