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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf10067 https://www.mathnet.ru/eng/zvmmf/v54/i7/p1194
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Abstract page: | 253 | Full-text PDF : | 81 | References: | 50 | First page: | 10 |
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