A note on the divergence effect and the Lagrangian-mean surface elevation in periodic water waves
- 21 April 1988
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 189, 235-242
- https://doi.org/10.1017/s0022112088000989
Abstract
Longuet-Higgins’ exact expression for the increase in the Lagrangian-mean elevation of the free surface due to the presence of periodic, irrotational surface gravity waves is rederived from generalized Lagrangian-mean theory. The raising of the Lagrangian-mean surface as wave amplitude builds up illustrates the non-zero divergence of the Lagrangian-mean velocity field in an incompressible fluid.Keywords
This publication has 1 reference indexed in Scilit:
- An exact theory of nonlinear waves on a Lagrangian-mean flowJournal of Fluid Mechanics, 1978