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17 October 2023 Numerical simulation of unsteady turbulent river flow
Vladislava V. Churuksaeva, Alexander V. Starchenko
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Proceedings Volume 12780, 29th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics; 127801G (2023) https://doi.org/10.1117/12.2691019
Event: XXIX International Symposium "Atmospheric and Ocean Optics, Atmospheric Physics", 2023, Moscow, Russian Federation
Abstract
Mathematical modeling helps to investigate the water basin and forecast the consequences of economic activity when experimental investigation is difficult due to economic and technological reasons. A mathematical model of a river flow based on unsteady turbulent shallow water equations is presented. Monotonic well-balanced high-order accurate finite volume approximations for the equations of the model are built. Accuracy of the numerical method suggested is evaluated on test cases with analytical solutions exist. The flow in the section of Tom river where ice jams often form during the spring breakup and cause localized flooding was modeled and the results were compared to the patterns observed in this area.
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Vladislava V. Churuksaeva and Alexander V. Starchenko "Numerical simulation of unsteady turbulent river flow", Proc. SPIE 12780, 29th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 127801G (17 October 2023); https://doi.org/10.1117/12.2691019
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KEYWORDS
Numerical analysis
Ice
Mathematical modeling
Turbulence
Numerical simulations
Finite volume methods
Floods
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