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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 7, Pages 1194–1202
DOI: https://doi.org/10.7868/S0044466914070059 (Mi zvmmf10067) 		 
Numerical simulation of multiply connected axisymmetric discontinuous incompressible potential flows

A. M. Bubenchikova, V. A. Korobitsyna, D. V. Korobitsynb, P. P. Kotova, Yu. I. Shokinc

a Tomsk State University, pr. Lenina 36, Tomsk, 634050, Russia
b Tomsk State University of Control Systems and Radio Electronics, pr. Lenina 40, Tomsk, 634050, Russia
c Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, Novosibirsk, pr. Akademika Lavrent’eva 6, 630090, Russia
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DOI: https://doi.org/10.7868/S0044466914070059
Abstract: The ascend and evolution of an axisymmetric gas bubble are studied numerically using an inviscid incompressible potential flow model. The volume of the gas bubble varies adiabatically. The transition from a simply connected bubble to a doubly connected toroidal one and its interaction with the free surface are simulated. The change in connectedness is accompanied by a nonzero velocity circulation and a discontinuous velocity potential occurring over an arbitrary toroidal liquid surface enclosing the bubble.
Key words: incompressible fluid, free surface, toroidal bubble, change in connectedness, circulation, discontinuity of velocity potential, axial symmetry, numerical simulation, Laplace’s equation.
Received: 28.11.2011
Revised: 24.09.2012
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 7, Pages 1167–1175
DOI: https://doi.org/10.1134/S0965542514070057
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: 76T10
Language: Russian
Citation: A. M. Bubenchikov, V. A. Korobitsyn, D. V. Korobitsyn, P. P. Kotov, Yu. I. Shokin, “Numerical simulation of multiply connected axisymmetric discontinuous incompressible potential flows”, Zh. Vychisl. Mat. Mat. Fiz., 54:7 (2014), 1194–1202; Comput. Math. Math. Phys., 54:7 (2014), 1167–1175
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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