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Stability of Niiler’s Solution of the General Circulation Problem
Publisher: American Meteorological Society
Abstract: Niiler?s model of the general wind-driven ocean circulation is reformulated in a quasigeostrophic framework and solved analytically to first order of the perturbative expansion, both for interior and boundary layer regions. ...
Stability Criteria Independent from the Perturbation Wavenumber for Forced Zonal Flows
Publisher: American Meteorological Society
Abstract: Sufficient conditions for the linear stability of quasi-geostrophic forced zonal flows are derived in the presence of bottom friction and horizontal diffusion of relative vorticity. The criteria are able to take into account ...
Boundary Condition of the Sverdrup Solution from Flow Energetics
Publisher: American Meteorological Society
Abstract: The energetics of the wind-driven, quasigeostrophic circulation is used to rule out the vanishing of the Sverdrup solution in the western boundary of the ocean, apart from the total solution near the eastern boundary. The ...
On the Stability of Wind-Driven Flows in Oceanic Basins
Publisher: American Meteorological Society
Abstract: This paper is a study on the stability of steady or nonsteady wind-driven, one-layer flows confined in a closed basin of arbitrary shape. The obtained necessary conditions for the instability are consistent with the behavior ...
On the Dynamics of β Plumes
Publisher: American Meteorological Society
Abstract: The dynamics of zonal recirculating flows (? plumes) driven by a source of potential vorticity, or a sink of mass, located at the eastern boundary of an ocean basin are investigated using analytical solutions of the ...
Stability of Analytical Solutions of Stommel–Veronis Ocean Circulation Models
Publisher: American Meteorological Society
Abstract: The Lyapunov direct method is applied to the quasigeostrophic equations to prove the nonlinear asymptotic stability, even in the kinetic energy norm, of the Veronis analytical solutions of the classical Stommel?Veronis ...
Nonlinear Asymptotic Stability of Munk's Solution of the General Circulation Problem
Publisher: American Meteorological Society
Abstract: The Lyapunov direct method is applied to the quasigeostrophic dynamics to deduce a nonlinear, asymptotic stability criterion, in the energy norm, for the wind-driven, one-layered oceanic circulation. The lateral diffusion ...
Dynamic Boundary Conditions Revisited
Publisher: American Meteorological Society
Abstract: The applicability of the super-slip boundary condition in wind-driven quasigeostrophic ocean circulation models is reexamined. The energy and enstrophy characteristics of the super-slip condition are discussed for the ...
Bifurcation of a Coastal Current at an Escarpment
Publisher: American Meteorological Society
Abstract: The evolution of a coastal current as it encounters an escarpment depends strongly on whether the geometry of the coast and escarpment is right or left ?handed,? independent of the direction of the coastal current. Handedness ...