Yuan, Chunxin;
(2018)
The evolution of oceanic nonlinear internal waves over variable topography.
Doctoral thesis (Ph.D), UCL (University College London).
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Abstract
This thesis is concerned with the evolution of oceanic nonlinear internal waves over variable one-dimensional and two-dimensional topography. The methodology is based on a variable-coefficient Korteweg-de Vries (vKdV) equation and its vari- ants, including the Ostrovsky equation which takes rotation into account and a Kadomtsev-Petviashvili (KP) equation which extends these one-dimensional models to two space dimensions. In addition, a fully nonlinear and non-hydrostatic three- dimensional primitive equation model, MIT general circulation model (MITgcm), is invoked to provide supplementary analyses. First, the long-time combined effect of rotation and variable topography on the evolution of internal undular bore is stud- ied; then an initial mode-2 internal solitary wave propagating onto the continental shelf-slope in a three-layer fluid is investigated. After that, the research is extended to two-dimensional space in which submarine canyon and plateau topography are implemented to examine a mode-1 internal solitary wave propagating over these topographic features. Finally, the topographic effect on internal wave-wave interac- tions is examined using an initial ‘V-shape’ wave representing two interacting waves in the framework of the KP equation.
| Type: | Thesis (Doctoral) |
|---|---|
| Qualification: | Ph.D |
| Title: | The evolution of oceanic nonlinear internal waves over variable topography |
| Event: | UCL (University College London) |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10053741 |
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