Viscous potential free-surface flows in a fluid layer of finite depth

Details Viscous potential free-surface flows in a fluid layer of finite depth Viscous potential free-surface flows in a fluid layer of finite depth

2007-05-09

arxiv.org/abs/0705.1281v3

Comptes Rendus Mathematique, Volume 345, Issue 2, 15 July 2007, Pages 113-118

Physics

Atmospheric and Oceanic Physics

6 pages, published at CRAS. Other author's papers can be downloaded at http://www.cmla.ens-cachan.fr/~dutykh

Scientific paper

It is shown how to model weakly dissipative free-surface flows using the classical potential flow approach. The Helmholtz-Leray decomposition is applied to the linearized 3D Navier-Stokes equations. The governing equations are treated using Fourier--Laplace transforms. We show how to express the vortical component of the velocity only in terms of the potential and free-surface elevation. A new predominant nonlocal viscous term is derived in the bottom kinematic boundary condition. The resulting formulation is simple and does not involve any correction procedure as in previous viscous potential flow theories [Joseph2004]. Corresponding long wave model equations are derived.

Affiliated with

Also associated with

No associations

Rating

Viscous potential free-surface flows in a fluid layer of finite depth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Viscous potential free-surface flows in a fluid layer of finite depth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Viscous potential free-surface flows in a fluid layer of finite depth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-646021