Weighted Averaged Flux-Type Scheme for Shallow-Water Equations with Fractional Step Method
Publication: Journal of Engineering Mechanics
Volume 130, Issue 2
Abstract
A numerical model describing two-dimensional fluid motions has been developed on an unstructured grid system. By using a fractional step method, a two-dimensional problem governed by the two-dimensional shallow-water equations is treated as two one-dimensional problems. Thus it is possible to simulate two-dimensional numerical problems with a higher computational efficiency. One-dimensional problems are solved by using an upwind total variation diminishing version of the second-order weighted averaged flux method with an approximate Riemann solver. Numerical oscillations commonly observed in second-order numerical schemes are controlled by exploiting a flux limiter. For the general purpose, the model can simulate on an arbitrary topography, treat a moving boundary, and resolve a shock. Five ideal and practical problems are tested. Very accurate results are observed.
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Published In
Journal of Engineering Mechanics
Volume 130 • Issue 2 • February 2004
Pages: 152 - 160
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Aug 20, 2002
Accepted: Jul 22, 2003
Published online: Jan 16, 2004
Published in print: Feb 2004
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