Some New Aspects of the Joint Effect of Rotation and Topography on Internal Solitary Waves
Abstract
Using a recently developed asymptotic theory of internal solitary wave propagation over a sloping bottom in a rotating ocean, some new qualitative and quantitative features of this process are analyzed for internal waves in a two-layer ocean. The interplay between different singularities—terminal damping due to radiation and disappearing quadratic nonlinearity, and reaching an “internal beach” (e.g., zero lower-layer depth)—is discussed. Examples of the adiabatic evolution of a single solitary wave over a uniformly sloping bottom under realistic conditions are considered in more detail and compared with numerical solutions of the variable-coefficient, rotation-modified Korteweg–de Vries (rKdV) equation.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 01, 2019
- Source ID
- 10.1175/jpo-d-18-0154.1
Entities
People
- Karl Helfrich
- Lev A. Ostrovsky
Organizations
- Office of Naval Research
- University of Colorado Boulder
- Woods Hole Oceanographic Institution