Fully nonlinear solitary waves in continuously stratified incompressible Boussinesq fluids
| Autor: | David Brown, Douglas R. Christie |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Wave propagation Mechanical Engineering Computational Mechanics Stratified flows Breaking wave Mechanics Internal wave Condensed Matter Physics Physics::Fluid Dynamics Classical mechanics Mechanics of Materials Stratified flow Boussinesq approximation (water waves) Mechanical wave Nonlinear Sciences::Pattern Formation and Solitons Longitudinal wave |
| Zdroj: | Physics of Fluids. 10:2569-2586 |
| ISSN: | 1089-7666 1070-6631 |
| DOI: | 10.1063/1.869771 |
| Popis: | This study is concerned with a fully nonlinear theoretical treatment of internal solitary waves in continuously stratified, incompressible, inviscid, shear-free Boussinesq fluids. Results are presented for wave propagation in both deep and shallow fluids with four different ambient stability profiles. Only the dominant mode with the greatest wave speed is considered. The morphology of finite-amplitude internal solitary waves in Boussinesq fluids is shown to be very sensitive to the precise form of the stability profile. The calculations indicate that a wave of maximum amplitude, which is less than the total fluid depth, exists for all internal solitary waves in continuously stratified Boussinesq fluids of finite depth. There is apparently no upper limit on the amplitude of internal solitary waves in many physically realistic unbounded fluids. Large amplitude waves of this type are mutually similar in form and the morphology of these waves appears to be independent of the ambient stability profile in the w... |
| Databáze: | OpenAIRE |
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