Труды Института механики им. Р.Р. Мавлютова

Электронный научный журнал | Electronic Scientific Journal

Proceedings of the Mavlyutov Institute of Mechanics

ISSN 2542–0380
DOI 10.21662

Itkulova Yu.A., Abramova O.A., Gumerov N.A., Ahatov I.Sh. Direct numerical simulation of three-dimensional dynamics of compressible bubbles in acoustic field using boundary element method Proceedings of the Mavlyutov Institute of Mechanics. 10 (2014). 59–65.

2014. Vol. 10. Issue 1, Pp. 59-65
URL: http://proc.uimech.org/uim2014.1.011
DOI: 10.21662/uim2014.1.011

Direct numerical simulation of three-dimensional dynamics of compressible bubbles in acoustic field using boundary element method

Itkulova Yu.A.^{∗,∗∗∗∗}, Abramova O.A.^{∗,∗∗∗∗}, Gumerov N.A.^∗,∗∗, Ahatov I.Sh.^{∗,∗∗∗}

^∗ Center Micro- and nanoscale dynamics of dispersed systems, Bashkir State University, Ufa
^∗∗ Institute for Advanced Computer Studies, University of Maryland
^∗∗∗ North Dakota State University
^∗∗∗∗ Mavlyutov Institute of Mechanics, Ufa

Abstract

In the present work the dynamics of bubbles containing compressible gas is studied in the presence of an acoustic field at low Reynolds numbers. The numerical approach is based on the boundary element method (BEM), which is effective for three-dimensional simulation. The application of the standard BEM to the compressible bubble dynamics faces the problem of the degeneracy of the algebraic system. To solve this problem, additional relationships based on the Lorentz reciprocity principle are used. Test calculations of the dynamics of one and several bubbles in an acoustic field are presented.