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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2025 Volume 66, Issue 4, Pages 118–128 (Mi pmtf9722)

Splitting of stratified flows over obstacles

V. Yu. Lyapidevskiia, O. A. Zuevb, N. I. Makarenkoa, E. G. Morozovb, D. I. Freyb

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b P. P. Shirshov Institute of Oceanology, Russian Academy of Sciences

Abstract: Mathematical models in the long-wave approximation for a three-layer fluid, taking into account mixing and entrainment at the layer interfaces, are considered. These nonlinear models are used to describe changes in the characteristics of heterogeneous flows when passing over localized seabed elevations. Comparison of numerical results with field measurements shows that the models adequately reproduce the structure of shelf and deep-water currents, in which flow splitting occurs with subsequent thickening of the passive intermediate layer and the formation of an intense downslope jet downstream of the obstacle.

Keywords: stratified fluid, flow over obstacles, splitting.

UDC: 532.592

Received: 24.06.2024
Revised: 30.09.2024
Accepted: 28.10.2024

DOI: 10.15372/PMTF202415562


 English version:
Journal of Applied Mechanics and Technical Physics, 2025, 66:4, 735–744

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© Steklov Math. Inst. of RAS, 2026