Mathematical modeling of hydrodynamic processes in the coastal waters of the Sea of Japan
https://doi.org/10.15514/ISPRAS-2022-34(5)-16
Abstract
A three-dimensional mathematical model of coastal water dynamics in the Peter the Great Bay of the Sea of Japan is presented. The system of Navier-Stokes equations is written under the assumption of a hydrodynamic approximation of an inhomogeneous fluid and takes into account turbulent exchange, wind stresses, friction forces, complex topography of the bottom and coastline. On the basis of hydrographic information, a numerical method is used to reconstruct the bottom topography and coastline. The free water surface equation is replaced by a singularly perturbed problem. In the FreeFem++ application software package, a code was written for calculating the hydrodynamic characteristics of coastal waters. During the solution, the finite element mesh is built automatically, the mesh parameters are set by the user. To solve the singular problem, at each time layer, the grid is adapted around the numerical solution with the grid adaptation parameters.
Supporting agencies: This work was supported by Far Eastern Federal University (or FEFU) (Program “PRIORITY 2030”: Digital Science).
About the Authors
Elena Sergeevna AMOSOVA
Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences,
Far Eastern Federal University
Russian Federation
Russian Federation
Candidate of Physical and Mathematical Sciences, Professor of the Department of Mathematical and Computer Modeling of the IMCT FEFU, Researcher, IPM FEB RAS
Kirill Sergeevich KUZNETSOV
Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences,
Far Eastern Federal University
Russian Federation
Russian Federation
Assistant of the Department of Mathematical and Computer Modeling, FEFU IMCT, second year postgraduate student of the Department of Mathematical and Computer Modeling, FEFU IMCT, laboratory researcher at IPM FEB RAS
Vitaly Sergeevich LEMESHEV
Far Eastern Federal University
Russian Federation
Russian Federation
First-year postgraduate student of the Department of Mechanical Engineering, Marine Engineering and Transport of the Engineering Department of the PI FEFU
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Review
For citations:
AMOSOVA E.S., KUZNETSOV K.S., LEMESHEV V.S. Mathematical modeling of hydrodynamic processes in the coastal waters of the Sea of Japan. Proceedings of the Institute for System Programming of the RAS (Proceedings of ISP RAS). 2022;34(5):227-242. (In Russ.) https://doi.org/10.15514/ISPRAS-2022-34(5)-16
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