Geodesic
Formation of a~cavity under an inclined separation impact of a~circular cylinder under the free surface of a~heavy fluid
Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 4, pp. 81-92.

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A dynamical mixed problem on an impact and the subsequent constant-speed motion of a circular cylinder in an ideal incompressible fluid. We study the influence of the physical and geometrical parameters of the problem on the form of the cavity and the configuration of the external free surface of the fluid at small times. We carry out an asymptotic analysis of the internal free boundary of the fluid which accounts for the dynamics of the separation points. The force of the reaction of the medium to the cylinder is found. The necessity of introducing additional cavitation zones for the dynamical impact problem is justified.
Keywords: ideal incompressible fluid, circular cylinder, blow with separation, free border, cavity, small times, Froude number, cavitation number. 
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M. V. Norkin. Formation of a~cavity under an inclined separation impact of a~circular cylinder under the free surface of a~heavy fluid. Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 4, pp. 81-92. http://geodesic.mathdoc.fr/item/SJIM_2016_19_4_a8/

[1] Sedov L. I., Ploskie zadachi gidrodinamiki i aerodinamiki, Nauka, M., 1966 | MR

[2] Norkin M., Korobkin A., “The motion of the free-surface separation point during the initial stage of horizontal impulsive displacement of a floating circular cylinder”, J. Engrg. Math., 70 (2011), 239–254 | DOI | MR | Zbl

[3] Norkin M. V., “Dvizhenie krugovogo tsilindra v zhidkosti posle udara na malykh vremenakh s obrazovaniem kaverny”, Izv. RAN. Mekhanika zhidkosti i gaza, 2012, no. 3, 101–112 | MR | Zbl

[4] Norkin M. V., “Dinamika vnutrennei svobodnoi granitsy zhidkosti na malykh vremenakh pri vertikalnom udare krugovogo tsilindra, polnostyu pogruzhennogo v zhidkost”, Izv. vuzov. Severo-Kavkazskii region. Estestvennye nauki, 2015, no. 1, 30–35

[5] Kochin N. E., Kibel I. A., Roze N. V., Teoreticheskaya gidromekhanika, Ch. 1, Fizmatgiz, M., 1963

[6] Zhukov M. Yu., Shiryaeva E. V., Ispolzovanie paketa konechnykh elementov FreeFem++ dlya zadach gidrodinamiki, elektroforeza i biologii, Rostov n/D, 2008