Modeling a turbulence effect in formation of the Antarctic Circumpolar Current

Heinloo, Jaak; Toompuu, Aleksander

doi:10.5194/angeo-24-3191-2006

Cited by 8 publications

(9 citation statements)

References 25 publications

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“…Equation (8) is similar to the respective equation exploited [11] in the context of discussion of the turbulence effect in the formation of the Antarctic Circumpolar Current velocity field. Unlike the discussion in [11] equation (8) is not restricted by the Boussinesq approximation.…”

Section: Turbulence Effect In the Zw Formationmentioning

confidence: 86%

“…(13) (The balance condition (13) differs from the corresponding balance condition applied in [11] only by specification of the density which is not restricted in (13) by the Boussinesq approximation.) The specification of R in the form [9,11] = 2 1 k k R (14) determines m , specified by (11), in (13) as…”

Section: ) (For Agmentioning

confidence: 99%

“…Neglecting, similar to the model discussed in [11], the effects of diffusion of the moment of momentum M , for the body force acting on the medium specified as the gravitational force, this equation in a non-rotating frame reads as [5][6][7] …”

Section: ) (For Agmentioning

confidence: 99%

“…The specification of R in the form [9,11] = 2 1 k k R (14) determines m , specified by (11), in (13) as…”

Section: ) (For Agmentioning

confidence: 99%

“…The current paper exploits one of these properties, the turbulence rotational viscosity, for outlining the turbulence effect in formation of the ZW velocity field in the Earth's troposphere. The discussion is performed within a model similar to the model [10,11] treating the turbulence effect in the formation of the Antarctic Circumpolar Current velocity field. This paper discusses the turbulence effect in the ZW formation in the Earth's atmosphere which complements former geophysical applications of the RAT theory.…”

Section: Introductionmentioning

confidence: 99%

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Modelling Turbulence Effect in Formation of Zonal Winds

Heinloo¹,

Toompuu²

2008

TOASCJ

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A turbulence-affected mechanism of formation of zonal winds in the Earth's troposphere is discussed from the perspective of the theory of rotationally anisotropic turbulence (the RAT theory). The turbulence effect is explained as an action of the turbulence rotational viscosity introduced within the RAT theory to characterize the shear in relative rotation (determined as the difference between the average angular velocity of eddy rotation and the vorticity of the average velocity field). The effect manifests in the form of an additive correction to the wind velocity predicted by the geostrophic approach. It is shown that the accounted turbulence effect decreases the westerlies' velocity predicted by the geostrophic approach at lower latitudes and can be used to explain the formation of easterlies (trade winds) in the equatorial zone without any necessity of assigning the geopotential a local minimum, at the Equator which is required to explain the trade winds within the purely geostrophic approach.

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Section: Turbulence Effect In the Zw Formationmentioning

confidence: 86%

Section: ) (For Agmentioning

confidence: 99%

Section: ) (For Agmentioning

confidence: 99%

“…The specification of R in the form [9,11] = 2 1 k k R (14) determines m , specified by (11), in (13) as…”

Section: ) (For Agmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modelling Turbulence Effect in Formation of Zonal Winds

Heinloo¹,

Toompuu²

2008

TOASCJ

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A model of vertical distribution of suspended matter in an open channel flow

Heinloo

Toompuu

2010

Environ Fluid Mech

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A quasi-stationary model of vertical distribution of concentration of suspended particular matter in the bottom layer of 1D open channel with a sloped bottom and varying free surface slope is discussed. The model proceeds from the balance between the turbulent diffusion and settling with the buoyancy flux effects on the medium turbulence neglected. The model outcome is formulated in the form of an analytic formula for the vertical distribution of concentration. It is shown that the derived formula embraces two basic types of vertical distribution of concentration, one with a monotonic decrease of concentration gradient and the other with a gradient maximum (lutocline) located at some distance from the bottom. The first distribution type realizes for a relatively large settling velocity or low intensity of turbulence and the second type for a small settling velocity or high intensity of turbulence. The skill of the model to mimic realistic situations is demonstrated on data measured in the Jiaojiang Estuary (China).

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A modification of the classical Ekman model accounting for the Stokes drift and stratification effects

Heinloo

Toompuu

2011

Environ Fluid Mech

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A modification of the classical Ekman model of oceanic wind-driven currents including the Stokes drift and stratification effects is discussed. The modification is formulated as an application of turbulence mechanics accounting for the curvature effect of velocity fluctuation streamlines. It is shown that similar to the Stokes drift effect, the presence of a density jump layer (pycnocline) decreases the veering of the flow velocity vector at the surface from the direction of the wind stress. It is shown also that in the pycnocline the decrease of the norm of the velocity vector as well as its rotation with depth is smaller than in the regions adjacent to the pycnocline. If the Stokes drift and stratification effects are neglected, the model reduces to the classical Ekman solution with the coefficient of the turbulent shear viscosity replaced by an effective viscosity coefficient. The vertical distributions of velocity predicted by the modified model are compared with the velocity data measured in the Drake Passage and within the Long-Term Upper Ocean Study (LOTUS) in the North Atlantic.

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Modeling a turbulence effect in formation of the Antarctic Circumpolar Current

Cited by 8 publications

References 25 publications

Modelling Turbulence Effect in Formation of Zonal Winds

Modelling Turbulence Effect in Formation of Zonal Winds

A model of vertical distribution of suspended matter in an open channel flow

A modification of the classical Ekman model accounting for the Stokes drift and stratification effects

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