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Glenn R. Flierl. Vilasur Swaminathan, Rohith Woods Hole Oceanographic Institution. Joint Program in Physical Oceanography Woods Hole Oceanographic Institution Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences zju---- 2016-09-30T19:37:44Z 2016-09-30T19:37:44Z 2016 2016 http://hdl.handle.net/1721.1/104600 958837833 Thesis: S.M., Joint Program in Physical Oceanography (Massachusetts Institute of Technology, Department of Earth, Atmospheric, and Planetary Sciences; and the Woods Hole Oceanographic Institution), 2016. Cataloged from PDF version of thesis. Includes bibliographical references (pages 97-99). In this thesis, we have studied the existence of vortex steady states in a sinusoidal background shear flow in a 1.75 layer quasi-geostrophic model. Trying to find vortex structures by integrating the Hamiltonian system has the drawback that the vortices lose enstrophy by filamentation and numerical dissipation, while continuing to deform and wobble. Adopting the local optimization technique of Hamiltonian Dirac Simulated Annealing overcomes this drawback and allows us to obtain steady/quasi-steady vortices that have roughly the same area as that of the initial vortex. The steady states that we have generated range from elliptical with major axis aligned with the flow in the prograde shear region to triangular at the latitude where prograde and adverse shear meet and back to elliptical but with the major axis aligned perpendicular to the shear flow at the center of the adverse shear region. The steady states calculated by the above technique can be used for further analysis and as an initial condition to study the merger of vortices in background shear. This result is directly applicable to the kind of dynamics visible on planets like Jupiter, where vortices residing in zonal shear are a common occurrence. by Rohith Vilasur Swaminathan. S.M. 99 pages eng Massachusetts Institute of Technology M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 Joint Program in Physical Oceanography. Earth, Atmospheric, and Planetary Sciences. Woods Hole Oceanographic Institution. Vortices in sinusoidal shear, with applications to Jupiter Thesis application/pdf false Publication unknown unknown <Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="21acff00-3787-411a-855d-9da79e8ad794"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Vortices in sinusoidal shear, with applications to Jupiter</Title> <PublishedIn> <Publication> </Publication> </PublishedIn> <PublicationDate>2016</PublicationDate> <Authors> <Author> <DisplayName>Vilasur Swaminathan, Rohith</DisplayName> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Massachusetts Institute of Technology</DisplayName> <OrgUnit /> </Publisher> </Publishers> <License>http://dspace.mit.edu/handle/1721.1/7582</License> <Keyword>Joint Program in Physical Oceanography.</Keyword> <Keyword>Earth, Atmospheric, and Planetary Sciences.</Keyword> <Keyword>Woods Hole Oceanographic Institution.</Keyword> <Abstract>In this thesis, we have studied the existence of vortex steady states in a sinusoidal background shear flow in a 1.75 layer quasi-geostrophic model. Trying to find vortex structures by integrating the Hamiltonian system has the drawback that the vortices lose enstrophy by filamentation and numerical dissipation, while continuing to deform and wobble. Adopting the local optimization technique of Hamiltonian Dirac Simulated Annealing overcomes this drawback and allows us to obtain steady/quasi-steady vortices that have roughly the same area as that of the initial vortex. The steady states that we have generated range from elliptical with major axis aligned with the flow in the prograde shear region to triangular at the latitude where prograde and adverse shear meet and back to elliptical but with the major axis aligned perpendicular to the shear flow at the center of the adverse shear region. The steady states calculated by the above technique can be used for further analysis and as an initial condition to study the merger of vortices in background shear. This result is directly applicable to the kind of dynamics visible on planets like Jupiter, where vortices residing in zonal shear are a common occurrence.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication>