THE APPLICATION OF A PERTURBATION TECHNIQUE TO THE NONLINEAR EQUATIONS OF INTERNAL WAVE MOTION AND A COMPARISON OF THE RESULTANT THEORETICAL WAVE FORMS WITH THOSE OBSERVED IN NATURE.
Abstract
A short history is given of the past and current work on internal waves. Time histories demonstrating the effect of thermocline depth on internal wave configuration in shallow water are discussed. Other records on internal wave configurations in deep water are discussed also. A simplified two-layer model is constructed, and a perturbation expansion is carried out for the basic nonlinear equations governing wave motion at the interface of the fluids in order to get the second order correction to the equation for the internal wave profile. Second order profiles are discussed which depend on simplifying assumptions concerning layer depths, density differences, and wavelengths. Also second order profiles are constructed for the shallow water examples which show good agreement with the data presented. These latter profiles are based on numerical analyses of the second order terms. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1965
- Accession Number
- AD0622224
Entities
People
- Clement A. Griscom
Organizations
- New York University