Calculation of the Total Flow Components in the Models of Wind Fluid Motion

V. S. Kochergin1, ✉, S. V. Kochergin1, S. N. Sklyar2

1 Marine Hydrophysical Institute of RAS, Sevastopol, Russian Federation

2 American University in Central Asia, Bishkek, Kyrgyz Republic

✉ e-mail: vskocher@gmail.com

Abstract

Purpose. The object of the work is to construct an effective numerical method to solve the problem for a stream function and to determine subsequently the total flow components in the models of fluid wind motion in a reservoir. Its efficiency was analyzed, and the work of the proposed difference approximations was illustrated using a class of test problems with the known analytical solutions.

Methods and Results. The difference scheme and the corresponding computational algorithm were constructed based on the projection variant of the integro-interpolation method, which permitted (within a single approach) to solve the problem for the stream function, to calculate its derivatives, and to determine subsequently the total flow horizontal components.

Conclusions. The used discretization method permits to preserve automatically the most important features of the initial differential model at switching to its discrete analog. In particular, its application makes it possible to reproduce correctly the behavior of the stream function derivatives, and hence, the behavior of the total flow horizontal components in the areas of its highest intensity.

Keywords

wind currents, stream function, total flow component, singularly perturbed problem, analytical solution, difference scheme

Acknowledgements

The study was carried out within the framework of the state task on theme FNNN-2021-0005 "Complex interdisciplinary studies of oceanological processes which determine functioning and evolution of the ecosystems of coastal zones of the Black and Azov seas".

Original russian text

Original Russian Text © V. S. Kochergin, S. V. Kochergin, S. N. Sklyar, 2023, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 39, Iss. 3, pp. 299-313 (2023)

For citation

Kochergin, V.S., Kochergin, S.V. and Sklyar, S.N., 2023. Calculation of the Total Flow Components in the Models of Wind Fluid Motion. Physical Oceanography, 30(3), pp. 274-287. doi:10.29039/1573-160X-2023-3-274-287

DOI

10.29039/1573-160X-2023-3-274-287

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