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Kelvin-Helmholtz instability of a bottom-intensified jet

  • Author / Creator
    Somayaji, Chandana R
  • The Kelvin-Helmholtz instability is the inertial destabilization of a parallel shear flow in a density stratified fluid under the influence of gravity. For example, this type of instability manifests itself as surface waves in the ocean when wind blows over the water surface. In this thesis we solve the nonhydrostatic Kelvin-Helmholtz instability problem for a near-bottom jet with a continuous velocity profile in a flat-bottomed non-rotating density-stratified fluid. Of particular note, the nonhydrostatic stability problem modelled here has a high wavenumber cutoff and does not exhibit an ultraviolet catastrophe unlike other inviscid stability calculations that have been previously published.

  • Subjects / Keywords
  • Graduation date
    2013-11
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R36T1C
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mathematical and Statistical Sciences
  • Specialization
    • Applied Mathematics
  • Supervisor / co-supervisor and their department(s)
    • Swaters, Gordon (Mathematical and Statistical Sciences)
  • Examining committee members and their departments
    • Li, Michael (Mathematical and Statistical Sciences)
    • Bowman, John (Mathematical and Statistical Sciences)