On the self-adjusted description of the atmospheric boundary layer, wind waves, and sea currents

Zaslavskii, M. M.; Zalesny, V. B.; Kabatchenko, I. M.; Tamsalu, R.

doi:10.1134/s0001437006020020

Cited by 10 publications

(6 citation statements)

References 9 publications

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“…where τ ax , τ ay are the wind stress components, α T , α S are the relaxation coefficients, q T and q S are the total heat and salt fluxes, C g is wind generation parameter [13,31,32],…”

Section: Boundary and Initial Conditionsmentioning

confidence: 99%

Simulation of the Arctic—North Atlantic Ocean Circulation with a Two-Equation K-Omega Turbulence Parameterization

Moshonkin

Zalesny

Гусев

2018

JMSE

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The results of large-scale ocean dynamics simulation taking into account the parameterization of vertical turbulent exchange are considered. Numerical experiments were carried out using k − ω turbulence model embedded to the Institute of Numerical Mathematics Ocean general circulation Model (INMOM). Both the circulation and turbulence models are solved using the splitting method with respect to physical processes. We split k − ω equations into the two stages describing transport-diffusion and generation-dissipation processes. At the generation-dissipation stage, the equation for ω does not depend on k. It allows us to solve both turbulence equations analytically that ensure high computational efficiency. The coupled model is used to simulate the hydrophysical fields of the North Atlantic and Arctic Oceans for 1948–2009. The model has a horizontal resolution of 0.25 ∘ and 40 σ -levels along the vertical. The numerical results show the model’s satisfactory performance in simulating large-scale ocean circulation and upper layer dynamics. The sensitivity of the solution to the change in the coefficients entering into the analytical solution of the k − ω model which describe the influence of some physical factors is studied. These factors are the climatic annual mean buoyancy frequency (AMBF) and Prandtl number as a function of the Richardson number. The experiments demonstrate that taking into account the AMBF improves the reproduction of large-scale ocean characteristics. Prandtl number variations improve the upper mixed layer depth simulation.

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Section: Boundary and Initial Conditionsmentioning

confidence: 99%

Simulation of the Arctic—North Atlantic Ocean Circulation with a Two-Equation K-Omega Turbulence Parameterization

Moshonkin

Zalesny

Гусев

2018

JMSE

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“…Therefore, taking as a basis our previous investigations, here we present only two examples for quantitative estimations of wave state impact on the parameters of ABL and WUL. One of them, considered in [17], deals with the calculation of the friction coefficient, C d , as a function of the wind, the inverse wave age A = u * σ p /g (22) and the parameter n, describing the fall law of the twodimensional spectrum…”

Section: Examples For Estimation Of Wave Impact On Parameters Of the Ablmentioning

confidence: 99%

“…Therefore, the most interesting result of this paper is also expedient here. Additionally note that an example of wind sea impact on the drift current in a shallow water basin one may find in papers [14,22].…”

Section: Examples For Estimation Of Wave Impact On Parameters Of the Ablmentioning

confidence: 99%

The role of wind waves in dynamics of the air-sea interface

Polnikov

2009

Izv. Atmos. Ocean. Phys.

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Wind waves are considered as an intermediate small-scale dynamic process at the air-sea interface, which modulates radically middle-scale dynamic processes of the boundary layers in water and air. It is shown that with the aim of a quantitative description of the impact said, one can use the numerical wind wave models which are added with the blocks of the dynamic atmosphere boundary layer (DABL) and the dynamic water upper layer (DWUL). A mathematical formalization for the problem of energy and momentum transfer from the wind to the upper ocean is given on the basis of the well known mathematical representations for mechanisms of a wind wave spectrum evolution. The problem is solved quantitatively by means of introducing special system parameters: the relative rate of the wave energy input, I RE , and the relative rate of the wave energy dissipation, D RE . For two simple wave-origin situations, the certain estimations for values of I RE and D RE are found, and the examples of calculating an impact of a wind sea on the characteristics of both the boundary layer of atmosphere and the water upper layer are given. The results obtained permit to state that the models of wind waves of the new (fifth) generation, which are added with the blocks of the DABL and the DWUL, could be an essential chain of the general model describing the ocean-atmosphere circulation.

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“…This is especially true of meso-and sub-mesoscale variability, the dynamics of coastal zones and water areas at high latitudes, where the Rossby radius is about 1-5 km. The parametrization of subgrid processes remains one of the most important tasks of modeling and forecasting the hydrophysical and meteorological fields [14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Untitled

2019

PhO

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The main goal of the work is to advance the ocean general circulation model by improving description of the processes of vertical turbulent exchange of heat, salt and momentum which significantly affect quality of reproducing the ocean circulation and thermohaline structure using the models based on a system of the ocean hydrothermodynamics primitive equations. Methods and Results. The main instrument of the research is the sigma model of the oceanic and marine circulation developed at the Marchuk Institute of Numerical Mathematics, RAS. In the incompressibility, hydrostatics and Boussinesq approximations, the system of equations is supplemented with the ω k − and ε k − parameterizations of the vertical turbulent exchange, the equations for which are solved by the splitting method applied to the physical processes. The equations are split into the stages describing transport-diffusion of the turbulence characteristics and their generation-dissipation. At the generation-dissipation stage, the equations for turbulent characteristics are solved analytically. At that, the stability functions resulted from application of the spectral algorithm are used. To assess quality of two parameterizations of the vertical turbulent exchange, the North Atlantic-Arctic Ocean circulation is numerically simulated and the upper ocean layer characteristics are studied. Conclusions. It is shown that the structure of the North Atlantic-Arctic Ocean large-scale fields is sensitive to choice of the vertical turbulence models. In particular, application of the ε k − parameterization is accompanied by a noticeably higher rate of involvement of the seasonal pycnocline waters in the developed turbulence zone than that resulting from application of the ω k − parameterization.

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On the self-adjusted description of the atmospheric boundary layer, wind waves, and sea currents

Cited by 10 publications

References 9 publications

Simulation of the Arctic—North Atlantic Ocean Circulation with a Two-Equation K-Omega Turbulence Parameterization

Simulation of the Arctic—North Atlantic Ocean Circulation with a Two-Equation K-Omega Turbulence Parameterization

The role of wind waves in dynamics of the air-sea interface

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