Dissipative Boussinesq equations

Denys Dutykh; Frédéric Dias

doi:10.1016/j.crme.2007.08.003

Dissipative Boussinesq equations

Denys Dutykh, Frédéric Dias

Mathematics

CNRS

Research output: Contribution to journal › Short survey › peer-review

51 Scopus citations

Abstract

The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which include the effects of weak dispersion and nonlinearity in a shallow water framework. The dissipative Boussinesq equations are then integrated numerically. To cite this article: D. Dutykh, F. Dias, C. R. Mecanique 335 (2007).

Original language	British English
Pages (from-to)	559-583
Number of pages	25
Journal	Comptes Rendus - Mecanique
Volume	335
Issue number	9-10
DOIs	https://doi.org/10.1016/j.crme.2007.08.003
State	Published - Sep 2007

Keywords

Boussinesq equations
Computational fluid mechanics
Dissipation
Long wave approximation
Tsunami propagation
Viscosity

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10.1016/j.crme.2007.08.003

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AB - The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which include the effects of weak dispersion and nonlinearity in a shallow water framework. The dissipative Boussinesq equations are then integrated numerically. To cite this article: D. Dutykh, F. Dias, C. R. Mecanique 335 (2007).

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KW - Computational fluid mechanics

KW - Dissipation

KW - Long wave approximation

KW - Tsunami propagation

KW - Viscosity

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Dissipative Boussinesq equations

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Keywords

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