Dynamics of Shallow-Water Internal Waves
Abstract
The long-term goal of this research is to understand the dynamics of the internal wave field on the continental shelf and in straits and fjords. Of interest are both the waves generated by tides and the more random waves present between the tidally generated waves. We wish to find a model that captures all the main features of the observed tidally generated wave packets. The commonly used Korteweg de Vries equation is known to be adequate at very small amplitudes. We wish to know if the approximations of steadiness and neglect of dissipation on a short time scale, leading to Long's equation, can be made. Various approximations to the equations of motion for a stratified fluid are investigated and compared to data from the Solibore and Sill Flows Experiment, the Coastal Mixing and Optics Experiment, and others. In particular, Long's equation has been examined as a candidate model. A number of solutions of Long's equation have been found. Solution of Long's equation with a strong thermocline in a small fraction of the depth required development of a numerical method different from those used with a uniform density gradient.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1998
- Accession Number
- ADA551756
Entities
People
- Frank S. Henyey
Organizations
- University of Washington