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IssuesArchive of Issues2023-1pp.38-44

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K.N. Anakhaev and V.V. Belikov, "Hydromechanical Modeling of the Deep Initial Impulsive Action on the Hydrogeophysical Massif," Mech. Solids. 58 (1), 38-44 (2023)
Year 2023 Volume 58 Number 1 Pages 38-44
DOI 10.3103/S0025654422700030
Title Hydromechanical Modeling of the Deep Initial Impulsive Action on the Hydrogeophysical Massif
Author(s) K.N. Anakhaev (Institute of Applied Mathematics and Automation of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, Nalchik, 360000 Russia; Water Problems Institute of RAS, Moscow, 119333 Russia, anaha13@mail.ru)
V.V. Belikov (Water Problems Institute of RAS, Moscow, 119333 Russia, belvv@bk.ru)
Abstract The article considers the potential problem of a deep impulsive impact at the initial moment of time on a hydrogeophysical massif, which can occur during underground (underwater) explosions, volcanic eruptions, seismic events, etc. The impact of the pulse focus was modeled by a rounded source with a unit pressure, and the sink area was modeled by a line of zero potential. A rigorous hydromechanical solution of the problem is obtained with the establishment of an analytical relationship between the physical region of the flow and the complex potential based on the theory of the function of a complex variable, that is, the use of the method of successive conformal mappings with the determination of all necessary flow characteristics. Calculation examples are given for special cases with the construction of curvilinear orthogonal hydrodynamic grids, outlines of families of lines of equal heads and stream lines, profiles of impulse sources, as well as diagrams of velocities, heads and potential flow rates.
Keywords potential flow, impulsive action, conformal mappings, complex potential, complex domain, elliptic functions, streamlines, lines of equal pressures
Received 27 October 2021Revised 10 December 2021Accepted 20 December 2021
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