A numerical solution for the barotropic vorticity equation forced by an equatorially trapped wave
| dc.contributor.author | Ferguson, James | |
| dc.contributor.supervisor | Khouider, Boualem | |
| dc.date.accessioned | 2008-10-08T21:00:03Z | |
| dc.date.available | 2008-10-08T21:00:03Z | |
| dc.date.copyright | 2008 | en_US |
| dc.date.issued | 2008-10-08T21:00:03Z | |
| dc.degree.department | Department of Mathematics and Statistics | |
| dc.degree.level | Master of Science M.Sc. | en_US |
| dc.description.abstract | To understand the mechanisms of energy exchange between the tropics and the midlatitudes, it is necessary to develop simplified climate models. Motivated by linear wave theory, one such model is derived below. It captures the nonlinear interaction between barotropic and first baroclinic modes. In particular, it allows for the study of the barotropic response to a baroclinic forcing. Numerical methods for handling this nonlinear system are carefully developed and validated. The response generated by a physically realistic Kelvin wave forcing is studied and is found to consist mainly of one eastward propagating wave (phase-locked to the forcing) and two westward propagating (Rossby) waves. The Rossby waves are shown to be highly constrained by the initial parameters of the forcing and an explanation of this result is proposed. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1828/1218 | |
| dc.language | English | eng |
| dc.language.iso | en | en_US |
| dc.rights | Available to the World Wide Web | en_US |
| dc.subject | partial differential equations | en_US |
| dc.subject | geophysical fluid dynamics | en_US |
| dc.subject | numerical analysis | en_US |
| dc.subject.lcsh | UVic Subject Index::Sciences and Engineering::Mathematics | en_US |
| dc.subject.lcsh | UVic Subject Index::Sciences and Engineering::Earth and Ocean Sciences::Geophysics | en_US |
| dc.title | A numerical solution for the barotropic vorticity equation forced by an equatorially trapped wave | en_US |
| dc.type | Thesis | en_US |