Testing of difference schemes in solving the equation for the Streem function based on solving the problem of wind currents

Authors

UDC

51.37

DOI:

https://doi.org/10.31429/vestnik-19-2-53-61

Abstract

The paper tests a number of well-known difference schemes used to solve an equation with a small parameter at the highest derivative. The numerical solution of the equation for the current function is compared with the obtained exact analytical analogue, which allows you to choose a difference discretization for constructing consistent approximations of derivatives based on the projection version of the integro-interpolation method when finding the values of integral velocities, especially at the boundary.

Keywords:

dimensionless problem, wind currents, test problem, analytical solution, current function, integral velocity

Acknowledgement

The work was carried out within the framework of the state task on the topic 0555-2021-0005 "Complex interdisciplinary studies of oceanological processes that determine the functioning and evolution of ecosystems 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

Sergei V. Kochergin

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

e-mail: ko4ep@mail.ru

Sergei N. Sklyar

заведующий кафедрой математики Американского университета в Центральной Азии (AUCA)

e-mail: sklyar51@gmail.com

References

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Issue

2022. Vol. 19. No. 2

Section

Physics

Pages

53-61

Submitted

2022-04-16

Published

2022-06-30

How to Cite

Kochergin V.S., Kochergin S.V., Sklyar S.N. Testing of difference schemes in solving the equation for the Streem function based on solving the problem of wind currents. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2022, vol. 19, no. 2, pp. 53-61. DOI: https://doi.org/10.31429/vestnik-19-2-53-61 (In Russian)

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

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