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Mathematical Modeling of Thermal BAR in Lake Teletskoye

Author(s): O. F. Vasiliev; V. I. Kvon; D. V. Kvon

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Keywords: Lake hydrology; Lake hydrodynamics; Lake hydrothermal behavior; Numerical modeling of lakes

Abstract: The formation and development of longitudinal and nearshore thermal bars are considered in the Lake Teletskoye (Altai Mountains, west Siberia). This deep lake has an oblong form and the maximum depth of 325 m. The 2-D vertical hydrodynamic models were developed to simulate both types of thermal bars: a longitudinal one with lateral averaging and a cross-sectional one, for the first and second cases respectively. The model contains the dynamic equation, continuity equation, heat transfer equation and the equation of state for water. The model of turbulence is based on the equations for kinetic energy of turbulence and rate of its dissipation. The model takes into account of water compressibility, meteorological factors and the through–flow along the lake due to river inflow and outflow. The account of water compressibility allows more precisely to describe thermal stratification in a deeper part of lake. Numerical calculations were performed to portray the thermal structure of the lake in a spring-summer period. Comparison of the numerical results with the field measurement data has shown that the mathematical model describes well the main features of the hydrothermal regime of the lake including the formation of specific longitudinal thermal bar. The peculiarities of development longitudinal and nearshore thermal bars are compared.

DOI:

Year: 1999

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