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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2025 Volume 18, Issue 5, Pages 687–693 (Mi jsfu1281)

Vertical structure of internal seiches in a stratified lake

Olga S. Volodko, Elena N. Lemeshkova

Institute of Computational Modelling SB RAS, Krasnoyarsk, Russian Federation

Abstract: The vertical structure of internal seiches in a stratified lake (Shira, Khakassia, Eastern Siberia) is determined in this paper. The frequencies and vertical velocity profiles of each mode are calculated using temperature and salinity measurements in Lake Shira in various years. A linear model in the long-wave approximation is used for calculations, and continuous stratification in the lake is varied from three-layer to six-layer structure. Vertical velocity frequencies of each mode are also obtained by spectral analysis of field measurement data and numerical simulation results based on the ROMS (Regional Oceanic Modeling System) model.

Keywords: Lake Shira, internal waves, continuous stratification, spectral analysis, Storming–Liouville problem.

UDC: 517.9

Received: 02.04.2024
Received in revised form: 15.05.2025
Accepted: 26.06.2025

Language: English



© Steklov Math. Inst. of RAS, 2026