Finite volume schemes for dispersive wave propagation and runup

被引：70

作者：

Dutykh, Denys ^{[1
]}

Katsaounis, Theodoros ^{[2
,3
]}

Mitsotakis, Dimitrios ^{[4
]}

机构：

[1] Univ Savoie, CNRS, LAMA, UMR 5127, F-73376 Le Bourget Du Lac, France

[2] Univ Crete, Dept Appl Math, Iraklion 71409, Greece

[3] FORTH, Inst App & Comp Math IACM, Iraklion 71110, Greece

[4] Univ Paris 11, UMR Math, F-91405 Orsay, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 08期

关键词：

Finite volume method; Dispersive waves; Solitary waves; Runup; Water waves; DISCONTINUOUS GALERKIN METHODS; BOUSSINESQ-TYPE EQUATIONS; BOUNDARY-VALUE-PROBLEMS; AMPLITUDE LONG WAVES; NUMERICAL-ANALYSIS; CONSERVATION-LAWS; 2-WAY PROPAGATION; WATER-WAVES; SYSTEMS; TSUNAMI;

D O I：

10.1016/j.jcp.2011.01.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Finite volume schemes are commonly used to construct approximate solutions to conservation laws. In this study we extend the framework of the finite volume methods to dispersive water wave models, in particular to Boussinesq type systems. We focus mainly on the application of the method to bidirectional nonlinear, dispersive wave propagation in one space dimension. Special emphasis is given to important nonlinear phenomena such as solitary waves interactions, dispersive shock wave formation and the runup of breaking and non-breaking long waves. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：3035 / 3061

页数：27

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