Parameterization of atmospheric forcing in the test task of wind circulation in the sea
UDC
51.37EDN
ISBHZFDOI:
10.31429/vestnik-18-4-29-32Abstract
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 parametersFunding information
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").
References
- Kochergin V.S., Kochergin S.V., Sklyar S.N. Analytical Test Problem of Wind Currents. In: Olegovna C. (eds) Processes in GeoMedia – Vol. I. Springer Geology. Springer, Cham., 2020. P. 17–25. DOI 10.1007/978-3-030-38177-6_3
- Кочергин В.С., Кочергин С.В., Скляр С.Н. Аналитическое решение тестовой задачи ветровых течений при постоянном ветре // Экологический вестник научных центров Черноморского экономического сотрудничества. 2021. Т. 18, №1. С. 32–35. DOI 10.31429/vestnik-18-1-32-35 [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)]
- Kochergin V.S., Kochergin S.V., Sklyar S.N. Analytical solution of the test three-dimensional problem of wind flows In: Chaplina, Tatiana (eds) Processes in GeoMedia – Vol. II Springer Geology. Springer, 2021. P. 65–71. DOI 10.1007/978-3-030-53521-6_9
- Еремеев В.Н., Кочергин В.П., Кочергин С.В., Скляр С.Н. Математическое моделирование гидродинамики глубоководных бассейнов. Севастополь: Экоси-Гидрофизика, 2002. 238 с. [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)]
- Kochergin V.P., Dunets T.V. Computational algorithm of the evaluations of inclinations of the level in the problems of the dynamics of basins // Physical oceanography. 2001. Vol. 11. Iss. 3. P. 221–232.
- Страхов В.Н. Метод фильтрации систем линейных алгебраических уравнений –- основа для решения линейных задач гравиметрии и магнитометрии // ДАН СССР. 1991. Т. 320. №3. С. 595–599. [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)]
- Кочергин В.С., Кочергин С.В., Станичный С.В. Использование вариационного алгоритма фильтрации при восстановлении данных поверхностной температуры // Современные проблемы дистанционного зондирования Земли из космоса. 2018. Т. 15. № 7. С. 9–14. DOI 10.21046/2070-7401-2018-15-7-9-14 [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)]
- Кочергин С.В., Янковский А.Е. Применение алгоритма фильтрации данных при восстановлении структуры захваченных волн на шельфе Крыма // Морской гидрофизический журнал. 1995. № 5. С. 62–65. [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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