Nontraditional approximation in geophysical fluid dynamics

dc.contributor.advisorMorrison, Philip J.en
dc.contributor.committeeMemberFitzpatrick, Richard, 1963-en
dc.creatorLiu, Yurunen
dc.date.accessioned2009-09-03T21:01:05Zen
dc.date.available2009-09-03T21:01:05Zen
dc.date.issued2009-05en
dc.descriptiontexten
dc.description.abstractIn the conventional approach to geophysical fluid dynamics, only the horizontal components of the Coriolis force due to horizontal motions of the fluid are taken into account. All the other components of the Coriolis force, which are called the non-traditional (NT) terms, are considered to be small second order quantities and are usually dropped. This effectively simplifies the system and the nice and clean quasi-geostrophic (QG) equation can be obtained, which is widely used in analytical studies of climate systems. Interest has been drawn to the dropped terms in recent studies. It is shown that in some special cases these second order terms actually have a noticeable influence on the dynamics of the system. However, a full picture of these terms in the dynamics of the real ocean is still lacking. Here, we will start from the fundamental equations of fluid dynamics, and through careful scaling analysis conduct a detailed study of the governing equations of geophysical fluid dynamics while keeping the NT terms. We will specifically investigate the influence of these NT terms on equatorial waves, since near the equator the NT components of the Coriolis force are the most significant.en
dc.description.departmentPhysicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2009-05-156en
dc.language.isoengen
dc.subjectgeophysical fluid dynamicsen
dc.subjectCoriolis forceen
dc.subjecttraditional approximationen
dc.subjectequatorial waveen
dc.titleNontraditional approximation in geophysical fluid dynamicsen
dc.type.genreThesisen
thesis.degree.departmentPhysicsen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelMastersen
thesis.degree.nameMaster of Artsen

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