Finite-Volume Model for Shallow-Water Flooding of Arbitrary Topography
Publication: Journal of Hydraulic Engineering
Volume 128, Issue 3
Abstract
A model based on the finite-volume method is developed for unsteady, two-dimensional, shallow-water flow over arbitrary topography with moving lateral boundaries caused by flooding or recession. The model uses Roe’s approximate Riemann solver to compute fluxes, while the monotone upstream scheme for conservation laws and predictor-corrector time stepping are used to provide a second-order accurate solution that is free from spurious oscillations. A robust, novel procedure is presented to efficiently and accurately simulate the movement of a wet/dry boundary without diffusing it. In addition, a new technique is introduced to prevent numerical truncation errors due to the pressure and bed slope terms from artificially accelerating quiescent water over an arbitrary bed. Model predictions compare favorably with analytical solutions, experimental data, and other numerical solutions for one- and two-dimensional problems.
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Published In
Journal of Hydraulic Engineering
Volume 128 • Issue 3 • March 2002
Pages: 289 - 298
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Aug 10, 2000
Accepted: Aug 14, 2001
Published online: Mar 1, 2002
Published in print: Mar 2002
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