Broadening of interfacial solitary waves
- 1 September 1988
- journal article
- conference paper
- Published by AIP Publishing in Physics of Fluids
- Vol. 31 (9) , 2486-2490
- https://doi.org/10.1063/1.866602
Abstract
Progressing interfacial gravity waves are considered for two fluids of differing densities confined in a channel of finite vertical extent and infinite horizontal extent. An integrodifferential equation for the unknown shape of the interface is derived. This equation is discretized and the resulting algebraic equations are solved using Newton’s method. It is found that, for a range of heights and densities of the two fluids, the system supports a branch of solitary waves. Progression along the branch produces a broadening of the wave. With increased broadening both the amplitude and the wave speed approach limiting values. The results are in good agreement with analytical studies and indicate the existence of internal surges.Keywords
This publication has 10 references indexed in Scilit:
- Extreme interfacial wavesPhysics of Fluids, 1986
- The limiting configuration of interfacial gravity wavesPhysics of Fluids, 1986
- A global theory of internal solitary waves in two-fluid systemsTransactions of the American Mathematical Society, 1986
- Erratum: ‘‘The shape of low Reynolds number jets’’ [Phys. Fluids 2 6, 7 (1983)]Physics of Fluids, 1983
- Overhanging interfacial gravity waves of large amplitudeJournal of Fluid Mechanics, 1983
- A second-order theory for solitary waves in shallow fluidsPhysics of Fluids, 1983
- Solitary Waves on a Two-Layer FluidJournal of the Physics Society Japan, 1978
- Internal waves of finite amplitude and permanent formJournal of Fluid Mechanics, 1966
- Solitary Waves in the One- and Two-Fluid SystemsTellus, 1956
- Solitary Waves in the One- and Two-Fluid SystemsTellus A: Dynamic Meteorology and Oceanography, 1956