Wind-driven ocean circulation—Part 2. Numerical solutions of the non-linear problem

Veronis, George

doi:10.1016/0011-7471(66)90004-0

Cited by 87 publications

(64 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, since the removal is presumed a priori in models with a Sverdrup interior, these models form only a partial understanding of what controls the circulation strength. Veronis (1966) demonstrates that as vorticity advection becomes strong relative to the frictional removal of vorticity, the inertial terms become dominant in regions outside the boundary current. More recent work has demonstrated that these inertially-dominated or inertial runaway solutions are ubiquitous in the wind-driven single-gyre ocean model with constant viscosity; time-dependent and steady-state calculations with differing boundary conditions all demonstrate this behavior (e.g., Ierley and Sheremet, 1995;Sheremet et al, 1995Sheremet et al, , 1997.…”

Section: Introductionmentioning

confidence: 96%

Wind-driven barotropic gyre I: Circulation control by eddy vorticity fluxes to an enhanced removal region

Fox‐Kemper

Pedlosky

2004

J Mar Res

View full text Add to dashboard Cite

It is well known that the barotropic, wind-driven, single-gyre ocean model reaches an inertiallydominated equilibrium with unrealistic circulation strength when the explicit viscosity is reduced to realistically low values. It is shown here that the overall circulation strength can be controlled nonlocally by retaining thin regions of enhanced viscosity parameterizing the effects of increased mixing and topographic interaction near the boundaries. The control is possible even when the inertial boundary layer width is larger than the enhanced viscosity region, as eddy uxes of vorticity from the interior transport vorticity across the mean streamlines of the inertial boundary current to the frictional region. In relatively inviscid calculations the eddies are the major means of ux across interior mean streamlines.

show abstract

Section: Introductionmentioning

confidence: 96%

Wind-driven barotropic gyre I: Circulation control by eddy vorticity fluxes to an enhanced removal region

Fox‐Kemper

Pedlosky

2004

J Mar Res

View full text Add to dashboard Cite

show abstract

“…This variability could be due to changes in the external atmospheric forcing or to the system's intrinsic instability and nonlinearity. The latter explanation was first put forward by Veronis (1963Veronis ( , 1966, but the former has enjoyed greater popularity in the oceanographic community until fairly recently. A systematic application of the methods of dynamical systems theory to the wind-driven circulation problem has yielded several physical mechanisms for the observed lowfrequency variability, on the time scale of several months to several years .…”

Section: Introductionmentioning

confidence: 99%

Spatio‐temporal variability in a mid‐latitude ocean basin subject to periodic wind forcing

2007

View full text Add to dashboard Cite

The mid-latitude ocean's response to time-dependent zonal wind-stress forcing is studied using a reduced-gravity, 1.5-layer, shallow-water IntroductionThe wind-driven, basin-scale circulation in the mid-latitude upper ocean exhibits variability on different time scales. This variability could be due to changes in the external atmospheric forcing or to the system's intrinsic instability and nonlinearity. The latter explanation was first put forward by Veronis (1963Veronis ( , 1966, but the former has enjoyed greater popularity in the oceanographic community until fairly recently. A systematic application of the methods of dynamical systems theory to the wind-driven circulation problem has yielded several physical mechanisms for the observed lowfrequency variability, on the time scale of several months to several years . This circulation has been studied in the last decade with a hierarchy of models that include rectangular-basin, as well as more realistic configurations. Pedlosky (1996) reviewed work that used time-independent, single-gyre forcing. Single-gyre results of particular interest since then include Berloff's (1997a, 1997b) work that emphasizes the role of basin size in this problem, and Sheremet et al.'s (1997) classification of instabilities for the single gyre. Chang et al. (2001) reviewed double-gyre results and compared the physical mechanisms for intrinsic variability found in this case with those obtained in the single-gyre problem. We only review here, therefore, the results that are most relevant to the present work. These emphasize the double-gyre problem. Jiang et al. (1995; JJG hereafter) studied the double-gyre wind-driven circulation in a mid-latitude rectangular basin on a β-plane using a 1.5-layer, reduced-gravity, shallow-water (SW) model. They used a time-constant zonal-wind profile, symmetric about the basin's mid-latitude axis. Their results showed that when non-linear processes come into play, multiple steady state solutions satisfying identical boundary conditions can arise for sufficiently strong wind-stress forcing. Two stable solutions were found to co-exist over a certain range of parameters. One had a stronger subpolar gyre and the other a stronger subtropical gyre, with overshooting of the western boundary currents to the north and south of the symmetry axis, respectively. Their periodic solutions had periods of several years and several weeks. Following JJG, Speich et al. (1995) analyzed the dependence of the stationary solutions on the SW model's nondimensional parameters such as the amplitude of the forcing, the Ekman number, the Rossby number, the non-dimensional β parameter, and the bottom drag coefficient. Using pseudo-

show abstract

“…Here we assume the external flow field F(x) is given by the double-gyre model which is often used to describe large scale recirculation in the ocean [16]:…”

Section: Problem Formulationmentioning

confidence: 99%

Exploiting Stochasticity for the Control of Transitions in Gyre Flows

Kularatne

Forgoston

Hsieh

2018

Robotics: Science and Systems XIV

View full text Add to dashboard Cite

Abstract-We present a control strategy to control the intergyre switching time of an agent operating in a gyre flow. The proposed control strategy exploits the stochasticity of the underlying environment to affect inter-gyre transitions. We show how control can be used to enhance or abate the mean escape time and present a strategy to achieve a desired mean escape time. We show that the proposed control strategy can achieve any desired escape time in an interval governed by the maximum available control. We demonstrate the effectiveness of the strategy in simulations.

show abstract

Wind-driven ocean circulation—Part 2. Numerical solutions of the non-linear problem

Cited by 87 publications

References 7 publications

Wind-driven barotropic gyre I: Circulation control by eddy vorticity fluxes to an enhanced removal region

Wind-driven barotropic gyre I: Circulation control by eddy vorticity fluxes to an enhanced removal region

Spatio‐temporal variability in a mid‐latitude ocean basin subject to periodic wind forcing

Exploiting Stochasticity for the Control of Transitions in Gyre Flows

Contact Info

Product

Resources

About