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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2021 Volume 33, Number 10, Pages 109–128 (Mi mm4330)

This article is cited in 1 paper

Computer complex for modelling of sea currents using regularized shallow water equations

A. V. Ivanov

Keldysh Institute of Applied Mathematics RAS

Abstract: The paper describes the computational system for modeling sea currents, which is based on a hydrodynamic model with regularized shallow water equations. A system of regularized equations is presented and a methodology for its solution is briefly described, including an algorithm for calculating dry-bed areas. A parallelization efficiency test of the program code on a high-performance computing system was carried out. Acceleration curve obtained. The structure of the program and its interaction with external modules are described. Test calculations of tidal fluctuations of the northern seas have been carried out. The calculated area covers the White Sea, the Pechora Sea, parts of the Barents and Kara Seas, as well as the Kara Gates Strait. The results obtained describe well the tidal phenomena in the study area.

Keywords: shallow water equations, dry-bed areas, software system, coastal currents, regularized equations.

Received: 22.04.2021
Revised: 26.07.2021
Accepted: 30.08.2021

DOI: 10.20948/mm-2021-10-08


 English version:
Mathematical Models and Computer Simulations, 2022, 14:3, 427–441


© Steklov Math. Inst. of RAS, 2025