532.5:551.465 Numerical simulation of the point pulse source impact in a liquid on the ice cover

Savin A. S. (Bauman Moscow State Technical University), Gorlova N. E. (Bauman Moscow State Technical University), Strunin P. A. (Bauman Moscow State Technical University)

ICE-COVERED LIQUID, POINT SOURCE, ICE COVER PERTURBATIONS


doi: 10.18698/2309-3684-2017-1-7890


The research examines the planar and three-dimensional problems of an ice cover perturbed by a point pulse source localized in the depth of an infinitely deep liquid. We studied the ice cover of different thickness and carried out numerical study of its perturbations by sources located at different depths. The main attention is paid to the ice cover perturbations that arise directly above the source.


[1] Ilichev A.T. Uedinennye volny v modelyakh gidromekhaniki [Solitary waves in hydromechanical models]. Moscow, Fizmatlit Publ., 2003, 256 p.
[2] Lamb G. Gidrodinamika [Hydrodynamics]. Moscow, Leningrad, Gostekhizdat Publ., 1947, 928 p.
[3] Kochin N.E., Kibel I.A., Roze N.V. Teoreticheskaya gidromekhanika. V 2 chastyah. Chast 1 [Theoretical hydromechanics. In 2 parts. Part 1]. Moscow, OGIZ Publ., 1948, 535 p.
[4] Kochin N.E. O volnovom soprotivlenii i podemnoy sile pogruzhennykh v zhidkost tel. Sobr. soch. v 2 tomah. Tom 2 [On the wave resistance and lifting force of bodies immersed in a liquid. Coll. pap. In 2 vols. Vol. 2]. Moscow, Leningrad, USSR Academy of Sc. Publ., 1949, pp. 105–182.
[5] Keldysh M.V., Lavrentev M.A. O dvizhenii kryla pod poverkhnostyu tyazheloy zhidkosti. Izbrannye trudy. Mekhanika [On the motion of the wing beneath the surface of a heavy liquid. Selected works. Mechanics]. Moscow, Nauka Publ., 1985, pp. 120–151.
[6] Keldysh M.V. Zamechaniya o nekotorykh dvizheniyakh tyazheloy zhidkosti. Izbrannye trudy. Mekhanika [Remarks on some motions of a heavy fluid. Selected works. Mechanics]. Moscow, Nauka Publ., 1985, pp. 100–103.
[7] Sretenskiy L.N. Teoriya volnovykh dvizheniy zhidkosti [Theory of wave motions of a fluid]. Moscow, Nauka Publ., 1977, 815 p.
[8] Milne-Thompson L.M. Teoreticheskaya gidrodinamika. [Theoretical hydrodynamics]. Moscow, Mir Publ., 1964, 660 p.
[9] Chowdhury R.G., Mandal B.N. Fluid Dynamics Research, 2006, vol. 38, no. 4, pp. 224–240.
[10] Lu D.Q., Dai S.Q. Archive of Applied Mechanics, 2006, vol. 76, no. 1, 2, pp. 49–63.
[11] Lu D.Q., Dai S.Q. International Journal Engineering Science, 2008, vol. 46, no. 11, pp. 1183–1193.
[12] Savin A.A., Savin A.S. Izvestiya RAN. Mekhanika zhidkosti i gaza — Fluid Dynamics. A journal of Russian Academy of Sciences, 2012, no. 2, pp. 3–10.
[13] Ilichev A.T., Savin A.A., Savin A.S. Doklady Akademii nauk, 2012, vol. 444, no. 2, pp. 156–159.
[14] Savin A.A., Savin A.S. Izvestiya Rossiyskoy akademii nauk. Mekhanika zhidkosti i gaza — Fluid Dynamics. A journal of Russian Academy of Science, 2013, no. 3, pp. 24–30.
[15] Savin A.A., Savin A.S. Izvestiya Rossiyskoy akademii nauk. Mekhanika zhidkosti i gaza — Fluid Dynamics. A journal of Russian Academy of Science, 2015, no. 5, pp. 16–23.
[16] Dimitrienko Yu.I., Gubareva E.A., Yurin Yu.V. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2014, no. 4, pp. 18–36.
[17] Dimitrienko Yu.I., Yurin Yu.V. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2015, no. 3, pp. 101–118.


Savin A., Gorlova N., Strunin P. Numerical simulation of the point pulse source impact in a liquid on the ice cover. Маthematical Modeling and Coтputational Methods, 2017, №1 (13), pp. 78-90



Download article

Колличество скачиваний: 123