Mathematical Modelling of Ocean Circulation

Marchuk, G. I.; Sarkisyan, A. S.

doi:10.1007/978-3-642-61376-0

Cited by 79 publications

(49 citation statements)

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“…Equations for the wind speed components and the temperature perturbations were solved using a decomposition method (Marchuk and Sarkisyan, 1988). The Poisson Equation (9) was solved by a direct method (Samarsky, 1978).…”

Section: Methods Of Solutionmentioning

confidence: 99%

Modeling the dynamics of the land-sea breeze circulation for air quality modeling

Novitsky

Reible

Corripio

1992

Boundary-Layer Meteorol

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Conventional atmospheric dispersion and air quality models require that the wind field be known with a higher resolution than is currently available from field monitoring stations in most coastal areas. In this paper, a numerical model is developed to predict the wind flow field during the land-sea breeze. The form and assumptions and method of solution of the model are described. The model output is compared to atmospheric data taken from a field study conducted in the Santa Barbara Channel and Ventura-Oxnard plain in southern California.

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Section: Methods Of Solutionmentioning

confidence: 99%

Modeling the dynamics of the land-sea breeze circulation for air quality modeling

Novitsky

Reible

Corripio

1992

Boundary-Layer Meteorol

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“…We reduce the solution of the original problem with the complex operator A to the solution of a set of problems with simpler operators A i . For example, if A ¼ A 1 þ A 2 , we can use the following two-cycle splitting scheme (MARCHUK, 1988;MARCHUK and SARKISYAN, 1988) to solve the problem (2.1): The scheme (2.2) is absolutely stable and approximates (2.1) with the second order of accuracy with respect to time, provided s 2 A i k k < 1. To solve (2.1) we can also use the simple implicit splitting scheme:…”

Section: The Splitting Methods As a Methodological Basis For The Constmentioning

confidence: 99%

“…The first one is the classical established basis, viz. a subsystem describing the dynamics of rotating fluid in the framework of approximations traditional in oceanology (BRYAN, 1969;GILL, 1982;MARCHUK and SARKISYAN, 1988). The second one includes physical parameterizations of various kinds, which change as we gain a better understanding of natural phenomena (GRIFFIES et al, 2000).…”

Section: Introductionmentioning

confidence: 99%

Splitting Numerical Technique with Application to the High Resolution Simulation of the Indian Ocean Circulation

Marchuk

Rusakov

Zalesny

et al. 2005

Pure appl. geophys.

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Abstract-The aim of this paper is twofold : To present an efficient numerical technique for the simulation of the ocean general circulation (OGC) and to apply it to the simulation of the Indian Ocean dynamics with high spatial resolution. To solve model equations we use the splitting method by physical processes and space coordinates. We select the main parts of the model operator and then perform their numerical treatment independently of one another. We describe the general methodology and some special aspects of this approach. Numerical treatment of the monsoon circulation is performed on the basis of the sigma-coordinate primitive equation model, which was developed at the Institute of Numerical Mathematics (Moscow, Russia). We present and briefly analyze the results of the numerical experiment with high spatial resolution 1/8°along latitude, 1/12°along longitude, and with 21 vertical sigma levels.

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“…There are some forms of the state equation for fresh-and seewater, which have been obtained experimentally [2][3][4]. Most of them are represented by sophisticated algebraic expressions.…”

Section: Statement Of the Problemmentioning

confidence: 99%

On a convective flow of a binary mixture in a vertical layer

Андреев

Степанова

2011

J. Appl. Ind. Math.

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Under study is an invariant solution of the equations of thermal diffusive convection which describes a stationary process of a binary mixture flow in a vertical layer under the action of the pressure gradient and the buoyancy force that depends nonlinearly on temperature and concentration. Some general properties of this solution are established and an existence theorem is proved. Analysis of the numerical solution of the problem is carried out in the cases of a power-law and exponential dependence of the buoyancy force on its argument.

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Mathematical Modelling of Ocean Circulation

Cited by 79 publications

References 0 publications

Modeling the dynamics of the land-sea breeze circulation for air quality modeling

Modeling the dynamics of the land-sea breeze circulation for air quality modeling

Splitting Numerical Technique with Application to the High Resolution Simulation of the Indian Ocean Circulation

On a convective flow of a binary mixture in a vertical layer

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