Projects per year
Abstract
A new numerical scheme for obtaining the steady-state form of an internal solitary wave of large amplitude is presented. A stratified inviscid two-dimensional fluid under the Boussinesq approximation flowing between horizontal rigid boundaries is considered. The stratification is stable, and buoyancy is continuously differentiable throughout the domain of the flow. Solutions are obtained by tracing the buoyancy frequency along streamlines from the undisturbed far field. From this the vorticity field can be constructed and the streamfunction may then be obtained by inversion of Laplace's operator. The scheme is presented as an iterative solver, where the inversion of Laplace's operator is performed spectrally. The solutions agree well with previous results for stratification in which the buoyancy frequency is a discontinuous function. The new numerical scheme allows significantly larger amplitude waves to be computed than have been presented before and it is shown that waves with Richardson numbers as low as 0.062 can be computed straightforwardly. The method is also extended to deal in a novel way with closed streamlines when they occur in the domain. The new solutions are tested in independent fully nonlinear time-dependent simulations and are verified to be steady. Waves with regions of recirculation are also discussed.
Original language | English |
---|---|
Pages (from-to) | 477-505 |
Journal | Journal of Fluid Mechanics |
Volume | 666 |
Early online date | 10 Nov 2010 |
DOIs | |
Publication status | Published - 10 Jan 2011 |
Keywords
- Internal waves
- Solitary waves
- Stratified flows
Fingerprint
Dive into the research topics of 'The steady-state form of large-amplitude internal solitary waves'. Together they form a unique fingerprint.Projects
- 1 Finished
-
EP/F030622/1 Breaking characteristics: Breaking Characteristics of large amplitude internal solitary waves
Carr, M. (PI)
1/10/08 → 30/09/11
Project: Standard