Chapter
Apr 26, 2012
Finite Volume Schemes for the Boussinesq Equations
Authors: Scott F. Bradford [email protected] and Brett F. Sanders [email protected]Author Affiliations
Publication: Ocean Wave Measurement and Analysis (2001)
Abstract
Several models based on the finite volume method are developed for simulating weakly nonlinear, dispersive waves in intermediate and shallow water. All models are at least second-order accurate in space and time and differ mainly in the data reconstruction at cell boundaries. The different reconstruction techniques include traditional linear averaging, Total Variation Diminishing (TVD), and Essentially Non-Oscillatory (ENO) methods. All models use Roe's approximate Riemann solver to compute fluxes. Model predictions are compared with analytical solutions, numerical predictions obtained with a second-order accurate finite difference model, as well as experimental data.
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© 2002 American Society of Civil Engineers.
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Published online: Apr 26, 2012
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M.ASCE
Research Scientist, Image Science and Applications Branch, Naval Research Laboratory, Washington D.C. 20375,. E-mail: [email protected]
M.ASCE
Assistant Professor, Department of Civil and Environmental Engineering, University of California, Irvine, CA 92697,. E-mail: [email protected]
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