Topographic instability and multiple equilibria on an f-plane

Details Topographic instability and multiple equilibria on an f-plane Topographic instability and multiple equilibria on an f-plane

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gapfd..27..163l&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 27, no. 3-4, 1983, p. 163-182.

Physics

Fluid Dynamics

2

Baroclinic Instability, Equilibrium Flow, Flow Stability, Rotating Fluids, Stratified Flow, Topography, Channel Flow, Drag, Inviscid Flow, Resonance

Scientific paper

The flow of a two-layer flow in a rotating channel on an f-plane over topography with sinusoidal variation of height in a direction parallel to the flow is investigated. When the two layers flow in opposite directions a resonance is found when the topographic scale matches the free mode of the system. The stability of the forced mode in the vicinity of this resonance is examined by means of a perturbation expansion of the topographic height. Both subresonant and superresonant instabilities are found, and their equilibration is examined. For small values of the dissipation, multiple equilibria are found. The topographic drag releases potential energy even when the flow is baroclinically stable.

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