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dc.contributor.advisorGaines, J. C.
dc.creatorHubertz, Jon Michael
dc.description.abstractUniform barotropic flow past an island on the beta plane is considered. The equations of motion contain terms for horizontal diffusion of momentum, the beta effect, and non-linear advection of momentum. A vorticity equation is formed and put into finite difference form utilizing centered differences in space and time. The DuFort-Frankel scheme is used for the lateral diffusion of vorticity terms, and the resulting system of finite difference equations are solved using the Gauss-Seidel method with successive over-relaxation. A condition that the island boundary be a streamline is imposed as well as the requirement that there be no tangential velocity component on the island boundary. Three cases are considered; the generation of von Karman wake, the generation of Rossby wake and the combination of the two. In the first case, the characteristics of the von Karman wake over a range of Reynolds numbers are found to agree with those available from theory and experimental results. In the second case, the Rossby wake is found to exist over a range of Island numbers from 0.4 to 3.5. Increasing the Island number increases the amplitude and decreases the wavelength of the stationary wave. A combination of both wakes is found for a low Island number (0.4) and a high Reynolds number (480). Other combinations yield a Rossby wake damped by frictional effects.en
dc.format.extent98 leavesen
dc.rightsThis thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use.en
dc.subject.classification1974 Dissertation H878
dc.titleA numerical solution to the non-linear problem of steady eastward barotropic flow past an island on the beta planeen
dc.typeThesisen Oceanographyen A&M Universityen of Philosophyen
dc.contributor.committeeMemberBurke, H. R.
dc.contributor.committeeMemberHopkins, S. H.
dc.contributor.committeeMemberPrice, M. A.
dc.contributor.committeeMemberTurk, R. D.
dc.format.digitalOriginreformatted digitalen
dc.publisher.digitalTexas A&M University. Libraries

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