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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 9, Pages 1537–1544
DOI: https://doi.org/10.7868/S0044466914090026 (Mi zvmmf10091) 		 
This article is cited in 2 scientific papers (total in 2 papers)

BEM-based numerical study of three-dimensional compressible bubble dynamics in stokes flow

O. A. Abramovaab, I. Sh. Akhatovac, N. A. Gumerovad, Yu. A. Itkulovaab

a Bashkir State University, ul. Zaki Validi 32, Ufa, 450076, Bashkortostan, Russia
b Institute of Mechanics of Ufa Branch, RAS
c Department of Mechanical Engineering, North Dakota State University
d Institute for Advanced Computer Studies, University of Maryland, Room 3305, A. V. Williams Building, College Park, MD 20742, USA
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DOI: https://doi.org/10.7868/S0044466914090026
Abstract: The dynamics of compressible gas bubbles in a viscous shear flow and an acoustic field at low Reynolds numbers is studied. The numerical approach is based on the boundary element method (BEM), which is effective as applied to the three-dimensional simulation of bubble deformation. However, the application of the conventional BEM to compressible bubble dynamics faces difficulties caused by the degeneration of the resulting algebraic system. Additional relations based on the Lorentz reciprocity principle are used to cope with this problem. Test computations of the dynamics of a single bubble and bubble clusters in acoustic fields and shear flows are presented.
Key words: Stokes equations, boundary element method, Lorentz reciprocity principle, bubble dynamics, shear flow, acoustic field.
Received: 25.07.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 9, Pages 1481–1488
DOI: https://doi.org/10.1134/S0965542514090024
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. A. Abramova, I. Sh. Akhatov, N. A. Gumerov, Yu. A. Itkulova, “BEM-based numerical study of three-dimensional compressible bubble dynamics in stokes flow”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014), 1537–1544; Comput. Math. Math. Phys., 54:9 (2014), 1481–1488
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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