532.5+551.465 Numerical modeling of the impact of a point impulse source in a finite-depth fluid on the ice cover
Savin A. S. (Bauman Moscow State Technical University), Konev K. M. (Bauman Moscow State Technical University)
FLUID WITH ICE COVER, POINT SOURCE, ICE COVER DISTURBANCES
doi: 10.18698/2309-3684-2025-3-314
This paper considers the three-dimensional problem of ice cover perturbation caused by a point impulse source localized in a finite-depth fluid. A numerical study was conducted to investigate ice cover disturbances of varying thicknesses caused by sources at different depths. Particular attention was paid to the disturbances occurring directly above the source.
[1] Il'ichev A.T. Uedinyonnye volny v modelyah gidromekhaniki [Solitary waves in fluid mechanics models]. Moscow, Fizmatlit Publ., 2003, 256 p.
[2] Lamb G. Gidrodinamika [Hydrodynamics]. Moscow, Gostekhizdat Publ., 1947, 928 p.
[3] Kochin N.E., Kibel' I.A., Roze N.V. Teoreticheskaya gidromekhanika. T.1 [heoretical hydromechanics. Vol.1.]. Leningrad, Moscow, Gostekhizdat Publ., 1948, 535 p.
[4] Sretenskij L.N. Teoriya volnovyh dvizhenij zhidkosti [Theory of wave motions of liquid]. Moscow, Nauka Publ., 1977, 815 p.
[5] Miln-Tompson L.M. Teoreticheskaya gidrodinamika [Theoretical hydrodynamics]. Moscow, MIR Publ., 1964, 660 p.
[6] Savin А.А., Savin А.S. Waves generated on an ice cover by a source pulsat-ing in fluid. Fluid Dynamics, 2013, vol. 48, no. 3, pp. 303 - 309.
[7] Savin А.S., Gorlova N.E., Strunin P.A. Numerical simulation of the point pulse source impact in a liquid on the ice cover. Mathematical Modeling and Computational Methods, 2017, no. 1(13), pp. 78–90.
[8] Sturova I.V. Motion of a Load over an Ice Sheet with Non-Uniform Compression. Fluid Dynamics, 2021, vol. 56, no. 4, pp. 503–512.
[9] Sturova I.V. The Cauchy–Poisson Problem for Fluid with Shear Current and Non-Uniformly Compressed Ice Cover. Fluid Dynamics, 2022, vol. 57, no. 4, pp. 486–493.
[10] Sturova I.V. The effect of a crack in an ice sheet on the hydrodynamic char-acteristics of a submerged oscillating cylinder. Journal of Applied Mathematics and Mechanics, 2015, vol. 79, no. 2, pp. 251–263.
[11] Sturova I.V. Action of a Pulsating Source in a Fluid in the Presence of a Shear Layer. Fluid Dynamics, 2023, vol. 58, no. 4, pp. 14–26.
[12] Bulatov V.V., Vladimirov I. Yu. Force impact of a flow an infinitely deep liquid on a source under ice cover. Fundamental and Applied Hydrophysics, 2023, vol. 16, no. 3, pp. 120–128.
[13] Pogorelova А.V., Kozin V.М., Zemlyak V.L. Motion of a slender body in a fluid under floating plate. Journal of Applied Mechanics and Technical Physics, 2012, vol. 53, no. 1. pp. 32-44.
[14] Bulatov V.V., Vladimirov I. Yu. The phase structure of wave disturbances excited by a pulsating source at the interface of a liquid flow of finite depth and an ice sheet. Journal of Applied Mathematics and Mechanics, 2024, vol. 88, no. 3, pp. 392–405.
[15] Dimitrienko Y.I., Gubareva E.A., Yurin YU.V. Asymptotic theory of themocreep for multilayer thin plates. Mathematical Modeling and Computational Methods, 2014, no. 4(4), pp. 18–36.
[16] Dimitrienko Y. I., Yurin Y. V. Finite element simulation of the rock stress-strain
state under creep. Mathematical Modeling and Computational Methods, 2015, no. 3(7), pp. 101–118.
[17] Savin А.S., Sidnyaev N.I., Tedeluri М.М. Study of the underwater explosion impact on the ice cover. Engineering Journal: Science and Innovation, 2021, no. 2 (110). DOI: 10.18698/2308-6033-2021-2-2052
Савин А.С., Конев К.М. Численное моделирование воздействия на ледяной покров точечного импульсного источника в жидкости конечной глубины. Математическое моделирование и численные методы, 2025, № 3, с. 3–14.
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