Parameterization of atmospheric forcing in the test task of wind circulation in the sea

Authors

  • Kochergin V.S. Marine Hydrophysical Institute, Sevastopol, Российская Федерация
  • Kochergin S.V. Marine Hydrophysical Institute, Sevastopol, Российская Федерация

UDC

51.37

DOI:

https://doi.org/10.31429/vestnik-18-4-29-32

Abstract

The paper presents a method of variational identification of parameters for setting an analytical wind effect for a wind circulation model in a dimensionless form. When implementing such a procedure, the search for a solution is carried out by plane rotation of the original system of algebraic equations for expansion coefficients for tangential stresses. Due to the transformation of plane rotations, an equivalent system is constructed in which the equations with the highest rank and informativeness are located in the upper rows. The rotation angles are found from the maximum of the functional that characterizes the ratio of the coefficients of the system, a priori information about the solution and the right parts. The algorithm is carried out iteratively. The conducted test numerical experiments have shown that when using accurate data, any combination of the equations of the system gives an exact solution for the expansion coefficients. In case of data noise, this does not happen. After the operation of the procedure, when all the information from the measurement data is taken into account in the upper equations, the resulting solution agrees well with the originally set one.

Keywords:

functional maximization, transformations of plane rotations, wind circulation model, identification of model parameters

Acknowledgement

The work was carried out within the framework of the state task on the topic 0555-2021-0005 "Complex interdisciplinary studies of oceanographic processes that determine the functioning and evolution of eco-systems of the coastal zones of the Black and Azov Seas" (code "Coastal research").

Author Infos

Vladimir S. Kochergin

младший научный сотрудник отдела теории волн Федерального исследовательского центра «Морской гидрофизический институт РАН»

e-mail: vskocher@gmail.com

Sergey V. Kochergin

старший научный сотрудник отдела морских информационных систем и технологий Федерального исследовательского центра «Морской гидрофизический институт РАН»

e-mail: ko4ep@mail.ru

References

  1. Kochergin V.S., Kochergin S.V., Sklyar S.N. Analytical Test Problem of Wind Currents. In: Olegovna C. (eds) Processes in GeoMedia – Volume I. Springer Geology. Springer, Cham., 2020. DOI 10.1007/978-3-030-38177-6_3
  2. Kochergin V.S., Kochergin S.V., Sklyar S.N. Analiticheskoe reshenie testovoj zadachi vetrovyh techenij pri postoyannom vetre [Analytical solution of the test problem of wind currents at constant wind]. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva [Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation], 2021, vol. 18, no. 1, pp. 32–35. DOI 10.31429/vestnik-18-1-32-35 (In Russian)
  3. Kochergin V.S., Kochergin S.V., Sklyar S.N. (2021) Analytical solution of the test three-dimensional problem of wind flows In: Chaplina, Tatiana (eds) Processes in GeoMedia – Volume II. Springer Geology. Springer, pp. 65–71. DOI 10.1007/978-3-030-53521-6_9
  4. Eremeev V.N., Kochergin V.P., Kochergin S.V., Sklyar S.N. Matematiche-skoe modelirovanie gidrodinamiki glubokovodnyh bassejnov [Mathematical modeling of hydrodynamics of deep-sea basins]. Ekosi-Gidrofizika, Sevastopol', 2002. (In Russian)
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  6. Strahov V.N. Metod fil'tracii sistem linejnyh algebraicheskih uravnenij – osnova dlya resheniya linejnyh zadach gravimetrii i magnitometrii [The method of filtering systems of linear algebraic equations – the basis for solving linear problems of gravimetry and magnetometry]. Doklady AN SSSR [Rep. of the USSR Academy of Sciences], 1991, vol. 320, no. 3, pp. 595–599. (In Russian)
  7. Kochergin V.S., Kochergin S.V., Stanichnyj S.V. Ispol'zovanie variacionnogo algoritma fil'tracii pri vosstanovlenii dannyh poverh-nostnoj temperatury [Using a variational filtering algorithm to recover surface temperature data]. Sovremennye problemy distancionnogo zon-dirovaniya Zemli iz kosmosa [Modern problems of remote sensing of the Earth from space], 2018, vol. 15, no. 7, pp. 9–14. DOI 10.21046/2070-7401-2018-15-7-9-14 (In Russian)
  8. Kochergin S.V., Yankovskij A.E. Primenenie algoritma fil'tracii dannyh pri vosstanovlenii struktury zahvachennyh voln na shel'fe Kryma [Application of the data filtering algorithm when restoring the structure of captured waves on the Crimean shelf]. Morskoj gidrofizicheskij zhurnal [Marine Hydrophysical Journal], 1995, no. 5, pp. 62–65. (In Russian)

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Issue

2021. Vol. 18. No. 4

Section

Physics

Pages

29-32

Submitted

2021-10-31

Published

2022-01-10

How to Cite

Kochergin V.S., Kochergin S.V. Parameterization of atmospheric forcing in the test task of wind circulation in the sea. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2021, vol. 18, no. 4, pp. 29-32. DOI: https://doi.org/10.31429/vestnik-18-4-29-32 (In Russian)

Copyright (c) 2022 Kochergin V.S., Kochergin S.V.

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