Dispersive nonlinear shallow-water equations: some preliminary numerical results

被引:13
作者
Grosso, Giovanna [3 ]
Antuono, Matteo [2 ]
Brocchini, Maurizio [1 ]
机构
[1] Univ Politecn Marche, Dipartimento ISAC, I-60131 Ancona, Italy
[2] INSEAN Italian Ship Model Basin, I-00128 Rome, Italy
[3] Univ Genoa, DICAT, I-16145 Genoa, Italy
关键词
Boussinesq equations; Dispersive nonlinear shallow-water equations; Finite-volume solvers; Nearshore; Nonlinear shallow- water equations; Waves; FINITE-VOLUME SCHEMES; BOUSSINESQ-TYPE EQUATIONS; HIGH-ORDER; HYPERBOLIC SYSTEMS; MODEL; SURF;
D O I
10.1007/s10665-009-9328-5
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1-28, 2008) are solved by means of an explicit arbitrary high-order accurate finite-volume scheme for nonlinear hyperbolic systems with stiff source terms. Tests against typical benchmark solutions are used to illustrate the robustness and accuracy of the solver while typical solutions for the propagation of solitary waves on a slope highlight the solution value in reproducing nearshore flows.
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页码:71 / 84
页数:14
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