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On the Erosion of the Bottom Caused by a Suspended Turbulent Jet

https://doi.org/10.15514/ISPRAS-2025-37(2)-13

Abstract

The paper considers the problem of the impact of a turbulent jet on an eroding bottom. A mathematical model of the problem is proposed, including the Reynolds equations, kinetic energy transfer equations, turbulence dissipation, suspended particle concentrations and the equation of channel deformations. To describe changes in the bottom surface, an original equation of bottom deformations is used, constructed on the basis of an analytical model of the movement of traction sediments. An algorithm for solving the problem using the control volume method is proposed. Numerical modeling of the problem showed that when the bottom is eroded under the influence of a turbulent jet, a characteristic bottom wave arises, the parameters of which in the erosion region are consistent with known experimental data.

About the Authors

Alexander Georgievich PETROV
Ishlinsky Institute for Problems in Mechanics RAS
Russian Federation

Dr. Sci. (Phys.-Math.), Professor, Chief Researcher at the Institute of Problems of Mechanics of the Russian Academy of Sciences. Research interests: fluid mechanics, analytical mechanics.



Igor Ivanovich POTAPOV
Computing Center of the Far Eastern Branch of RAS
Russian Federation

Dr. Sci. (Phys.-Math.), Professor, Head of the Laboratory of Computational Mechanics of the Computing Center of the Far Eastern Branch of the Russian Academy of Sciences since 2009. Area of scientific interests: numerical methods, channel and hydrodynamic processes in lowland rivers.



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Review

For citations:


PETROV A.G., POTAPOV I.I. On the Erosion of the Bottom Caused by a Suspended Turbulent Jet. Proceedings of the Institute for System Programming of the RAS (Proceedings of ISP RAS). 2025;37(2):181-194. (In Russ.) https://doi.org/10.15514/ISPRAS-2025-37(2)-13



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ISSN 2079-8156 (Print)
ISSN 2220-6426 (Online)