Breaking of internal solitary waves in a three-layer fluid over an obstacle

Breaking of internal solitary waves in a three-layer fluid over an obstacle Full article

Journal

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425

Output data

Year: 2025, Volume: 65, Number: 5, Pages: 1013–1025 Pages count : 13 DOI: 10.1134/S0965542525700332

Tags

internal solitary waves, three-layer fluid, Boussinesq approximation, breaking waves, mixing

Authors

Liapidevskii V.Yu. ¹ , Chesnokov A.A. ¹

Affiliations

1	Lavrentyev Institute of Hydrodynamics

A three-layer shallow water model in the Boussinesq approximation with allowance for nonlinearity, dispersion, and mixing is used to describe the propagation and breaking of large-amplitude internal waves interacting with uneven bottom topography. The proposed equations of motion are solved numerically by applying the Godunov method with additional inversion of an elliptic operator at each time step. Stationary solutions in the form of mode-1 solitary waves are constructed. Mixing processes induced by breaking internal solitary waves due to their interaction with a single or combined obstacle are modeled. It is shown that the numerical results are in good agreement with experimental data and direct numerical simulation.

Liapidevskii V.Y. , Chesnokov A.A.
Breaking of internal solitary waves in a three-layer fluid over an obstacle
Computational Mathematics and Mathematical Physics. 2025. V.65. N5. P.1013–1025. DOI: 10.1134/S0965542525700332 WOS Scopus

Ляпидевский В.Ю. , Чесноков А.А.
Обрушение уединенных внутренних волн в трехслойной жидкости над препятствием
Журнал вычислительной математики и математической физики. 2025. Т.65. №5. С.673–685. DOI: 10.31857/S0044466925050066

Web of science:	WOS:001533659600013
Scopus:	2-s2.0-105010318587

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