Dissipative Boussinesq equations

Denys Dutykh, Frédéric Dias

Research output: Contribution to journalShort surveypeer-review

47 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 languageBritish English
Pages (from-to)559-583
Number of pages25
JournalComptes Rendus - Mecanique
Volume335
Issue number9-10
DOIs
StatePublished - Sep 2007

Keywords

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

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