Numerical calculation of gravity-capillary interfacial waves of finite amplitude
- 1 September 1980
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 23 (9) , 1723-1726
- https://doi.org/10.1063/1.863197
Abstract
Gravity-capillary progressive interfacial waves on the interface between two semi-infinite fluids of different densities are considered. An integro-differential equation for the unknown shape of the interface is derived. By introducing a mesh and finite difference, this equation is converted into a finite set of nonlinear algebraic equations. These equations are solved by Newton’s method. In the limiting case of pure gravity waves, the results obtained are in good agreement with previous calculations. Two continuous families of capillary-gravity waves are studied. A generalization of Wilton’s ripples for interfacial waves is presented.Keywords
This publication has 11 references indexed in Scilit:
- A new family of capillary wavesJournal of Fluid Mechanics, 1980
- Steady Gravity‐Capillary Waves on Deep Water—II. Numerical Results for Finite AmplitudeStudies in Applied Mathematics, 1980
- Some effects of surface tension on steep water waves. Part 2Journal of Fluid Mechanics, 1980
- Numerical solution of the exact equations for capillary–gravity wavesJournal of Fluid Mechanics, 1979
- Numerical computation of steep gravity waves in shallow waterPhysics of Fluids, 1979
- Steep gravity waves in water of arbitrary uniform depthPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1977
- The intersection of potential energy surfaces in polyatomic moleculesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1975
- On the mass, momentum, energy and circulation of a solitary wave. IIProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1974
- Computer extension and analytic continuation of Stokes’ expansion for gravity wavesJournal of Fluid Mechanics, 1974
- LXXII. On ripplesJournal of Computers in Education, 1915