A derivation of equations for wave propagation in water of variable depth
- 23 November 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 78 (2) , 237-246
- https://doi.org/10.1017/s0022112076002425
Abstract
Within the scope of the three-dimensional theory of homogeneous incompressible inviscid fluids, this paper contains a derivation of a system of equations for propagation of waves in water of variable depth. The derivation is effected by means of the incompressibility condition, the energy equation, the invariance requirements under superposed rigid-body motions, together with a single approximation for the (three-dimensional) velocity field.Keywords
This publication has 2 references indexed in Scilit:
- The Theory of Shells and PlatesPublished by Springer Nature ,1973
- Equations for Water Waves and the Approximation behind ThemPublished by Elsevier ,1972