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Boundary element simulations of 3D bubble-droplet-particle dynamics

Name
Olga
Surname
Abramova
Scientific organization
Center for Micro- and Nanoscale Dynamics of Dispersed Systems at Bashkir State University, Ufa, Russia
Academic degree
PhD
Position
Junior Reseacher
Scientific discipline
Mathematics & Mechanics
Topic
Boundary element simulations of 3D bubble-droplet-particle dynamics
Abstract
To simulate dynamics of large bubble/droplet/particle systems the boundary element method accelerated both via the fast multipole method, and heterogeneous computing architecture is developed. Three-dimensional emulsion flows in channels, dynamics of deformable bubble or droplet, bubble self-propulsion, interaction between bubbles and rigid particles or solid wall in the presence of external forces are presented.
Keywords
multiphase flow, bubble, droplet, particle, microchannel, boundary element method, fast multipole method, graphics processors
Summary

Boundary element simulations of 3D bubble-droplet-particle dynamics

Yu.A. Pityuk1, O.A. Abramova1, A.R. Gainetdinov1, N.A. Gumerov1,2, and I.S. Akhatov3

1Center for Micro- and Nanoscale Dynamics of Dispersed Systems at Bashkir State University, Ufa, Russia

2University of Maryland Institute for Advanced Computer Studies, College Park, USA

3Center for Design, Manufacturing & Materials, Skolkovo Institute of Science & Engineering (Skoltech), Moscow, Russia

Investigation of complex multiphase flows consisting of gas, liquid, and solid phases is of significant interest for science and many new technologies. This includes various biomedical applications, microfluidics, environmental and manufacturing technologies. The boundary element method (BEM) is a suitable tool for modeling of the dynamics of large bubble/droplet/particle systems at low and high Reynolds numbers (Stokesian and potential flows). Application of the conventional BEM for the direct simulation of such systems is normally limited by the memory, computational complexity, and speed. To achieve such simulations a numerical approach based on the BEM accelerated both via the fast multipole method (FMM), and heterogeneous computing architecture (multicore CPUs and graphics processors) is developed. The method enabled direct simulations of systems of tens of thousands of deformable dispersed objects in an unbounded domain or near a solid wall.

We focused on the simulation of three-dimensional emulsion flows in channels of arbitrary cross-section, dynamics of exited high order surface modes of bubbles at free and forced bubble oscillations, bubble self-propulsion, transfer of energy between shape and volume modes of bubble oscillations, interaction between bubbles and rigid particles or solid wall in the presence of external forces. Several demonstration computations for the dilute emulsions in microchannels and surface attached bubble are compared with experimental data.

The developed approach can be used for solution of a wide range of problems related to disperse flow in microscale. As a future work we also consider extension of the physical model and appropriate algorithmic modifications which take into account effects of the close object interaction.

This study is supported in part by Grant of Ministry of Education and Science of the Russian Federation (11.G34.31.0040), Skoltech Partnership Program, RFBR grant 16-31-00029, Christian Doppler Research Association (Austria), Goettingen University (Germany), and Fantalgo, LLC (Maryland, USA).