Skip to Main content Skip to Navigation
Journal articles

Visco-potential free-surface flows and long wave modelling

Abstract : In a recent study [DutykhDias2007] we presented a novel visco-potential free surface flows formulation. The governing equations contain local and nonlocal dissipative terms. From physical point of view, local dissipation terms come from molecular viscosity but in practical computations, rather eddy viscosity should be used. On the other hand, nonlocal dissipative term represents a correction due to the presence of a bottom boundary layer. Using the standard procedure of Boussinesq equations derivation, we come to nonlocal long wave equations. In this article we analyse dispersion relation properties of proposed models. The effect of nonlocal term on solitary and linear progressive waves attenuation is investigated. Finally, we present some computations with viscous Boussinesq equations solved by a Fourier type spectral method.
Complete list of metadatas

Cited literature [19 references]  Display  Hide  Download
Contributor : Denys Dutykh <>
Submitted on : Thursday, November 13, 2008 - 2:48:13 PM
Last modification on : Friday, November 6, 2020 - 3:25:29 AM
Long-term archiving on: : Friday, September 24, 2010 - 11:15:45 AM


Files produced by the author(s)




Denys Dutykh. Visco-potential free-surface flows and long wave modelling. European Journal of Mechanics - B/Fluids, Elsevier, 2009, 28 (3), pp.430-443. ⟨10.1016/j.euromechflu.2008.11.003⟩. ⟨hal-00270926v4⟩



Record views


Files downloads