Finite volume schemes for dispersive wave propagation and runup

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Dutykh, Denys¹  Katsaounis, Theodoros^2,3  Mitsotakis, Dimitrios⁴ 

[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

关键词: Finite volume method;    Dispersive waves;    Solitary waves;    Runup;    Water waves;   

DOI  :  10.1016/j.jcp.2011.01.003

来源: Elsevier

【 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.

【 授权许可】

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