Hamiltonian Dynamics of Coupled Potential Vorticity and Internal Wave Motion: 1. Linear Modes
Final technical rept. 1 Jun 1989-30 Nov 1992
CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF PHYSICS
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This proposal describes work to be carried out extending the study of phase-space density representations of the fluids dynamics to the case where the fluid density is not constant, but the fluid is incompressible, so the fluid velocity satisfies v.u 0. This will allow the phase-space density representation to describe inhomogenous fluids. Since the phase space density representation is ideally suited to making time scale separations of the form needed for isolating geostrophic and quasi-geostrophic motions of the full fluid equations and doing so in a fully Hamiltonian fashion, this improvement on past work will enable the inclusion of density variations into the Hamiltonian fashion, this improvement on past work will enable the inclusion of density variations into the Hamiltonian formulation of these mesoscale geophyiscal motions. The extension of phase space density formulation of fluids to this case will allow the study of the interplay between internal wave motions-fast density variations-and mesoscale motions-far slower geostrophic and quasi-geostrophic motions. The proposal describes, in outline, the work which will be carried out by the principal investigator and a graduate student over a period of three years which will formulate the Hamiltonian version of inhomogeneous, incompressible flows in phase space density form and separate out the slow and fast motions relevant to geophysical flows.
- Physical and Dynamic Oceanography
- Fluid Mechanics