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Springer Proceedings in Earth and Environmental Sciences

ISSN:2524-342Х
eSSN:2524-3438

2022

Sklyar, S.N.¹

10.1007/978-3-030-99504-1_16

In this paper, we consider a mathematical model of wind currents in a rectangular reservoir of constant depth. The analysis was carried out on the basis of the dimensionalization procedure and the subsequent exclusion of terms describing advection and horizontal diffusion from the system of equations. Additional limitations are that the components of the tangential wind friction stress are set according to a special law that allows describing complex wind situations. Within the framework of the above limitations, we manage to find analytical solutions for the integral components of the horizontal flow velocity. Note that the accepted restrictions are quite soft and allow you to save the most important properties of the simulated objects in the model. This makes it possible, when choosing the main parameters in the model that reflect the specifics of the reservoir, to obtain some properties of currents in this reservoir “in the first approximation

Analytical solution, Current function, Dimensionless problem, Integral velocity, Test problem, Wind currents

2022-07-13 11:54:17