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Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 4, Pages 684–695 (Mi zvmmf9237)  

Numerical simulation of inviscid bubble dynamics in a centrally symmetric gravitational field

A. V. Vishnevskiia, A. M. Oparina, N. N. Fiminb, V. M. Chechetkinb

a Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056 Russia
b Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia

Abstract: The motion of bubbles in a centrally symmetric gravitational field is numerically simulated using two-dimensional conservation laws (Euler equations). The dynamics of bubbles with various numbers of modes in the initial perturbation are studied. The numerical results reveal features that are substantially different from the plane case in a homogeneous gravitational field. Bubble perturbations nearly do not interact at the formation stage. The lowest modes are amplified in the course of the bubble evolution.

Key words: numerical simulation of gas bubble dynamics, Rayleigh–Taylor instability, centrally symmetric gravitational field, Euler equation.

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English version:
Computational Mathematics and Mathematical Physics, 2011, 51:4, 637–649

Bibliographic databases:

Document Type: Article
UDC: 519.634
Received: 02.04.2007
Revised: 25.03.2010

Citation: A. V. Vishnevskii, A. M. Oparin, N. N. Fimin, V. M. Chechetkin, “Numerical simulation of inviscid bubble dynamics in a centrally symmetric gravitational field”, Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011), 684–695; Comput. Math. Math. Phys., 51:4 (2011), 637–649

Citation in format AMSBIB
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\paper Numerical simulation of inviscid bubble dynamics in a~centrally symmetric gravitational field
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 51
\issue 4
\pages 684--695
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\jour Comput. Math. Math. Phys.
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\vol 51
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\pages 637--649
\crossref{https://doi.org/10.1134/S0965542511040178}
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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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