Finite-Volume Model for Shallow-Water Flooding of Arbitrary Topography

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 schem...

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Bibliographic Details
Published in:Journal of hydraulic engineering (New York, N.Y.) N.Y.), 2002-03, Vol.128 (3), p.289-298
Main Authors: Bradford, Scott F, Sanders, Brett F
Format: Article
Language:English
Subjects:
Acceleration
Boundary layer flow
Earth sciences
Earth, ocean, space
Exact sciences and technology
Finite volume method
Floods
Hydrology
Hydrology. Hydrogeology
Marine and continental quaternary
Numerical methods
Oscillations
Surficial geology
TECHNICAL PAPERS
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Summary: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.
ISSN:0733-9429
1943-7900
DOI:10.1061/(ASCE)0733-9429(2002)128:3(289)