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Comparative analysis of nonlinear dispersive shallow water models
Inst Computat Technol, Novosibirsk 630090, Russia Linkoping Univ, Dept Math, S-58138 Linkoping, Sweden.
Inst Computat Technol, Novosibirsk 630090, Russia Linkoping Univ, Dept Math, S-58138 Linkoping, Sweden.
Inst Computat Technol, Novosibirsk 630090, Russia Linkoping Univ, Dept Math, S-58138 Linkoping, Sweden.
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Scientific Computing.
2000 (English)In: International journal of computational fluid dynamics (Print), ISSN 1061-8562, Vol. 14, no 1, 55-73 p.Article in journal (Refereed) Published
Abstract [en]

The results of comparative analysis of some nonlinear dispersive models of shallow water are presented. The aim is to find their individual properties relevant for the numerical solution of some model problems of long wave transformation over submerged obstacles The study considers basic properties of the listed models and their numerical implementation. Computations are obtained compared with the analytical solution and experimental data. Attention is primarily focused on the models suggested by Peregrine (1967), Zheleznyak and Pelinovsky (1985), Kim, Reid, Whitaker (1988), Fedotova and Pashkova (1997). Also classical equations of shallow water are considered in both linear and nonlinear approximations.

Place, publisher, year, edition, pages
2000. Vol. 14, no 1, 55-73 p.
Keyword [en]
shallow water models, nonlinear dispersive models, finite-difference schemes, wave interaction, solitary wave
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-49463OAI: oai:DiVA.org:liu-49463DiVA: diva2:270359
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-14

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Einarsson, Bo

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