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Visualization of Mechanical Processes: An International Online Journal


ISSN Online: 2152-209X

Visualization of Mechanical Processes: An International Online Journal

DOI: 10.1615/.2016016720

SIMULATION OF DROPS MOTION IN CHANNELS USING FAST MULTIPOLE METHOD /GRAPHICS PROCESSORS ACCELERATED BOUNDARY ELEMENT METHOD

Olga A. Abramova
Center for Micro- and Nanoscale Dynamics of Dispersed Systems at Bashkir State University, Ufa, Russia
Yulia A. Pityuk
Center for Micro- and Nanoscale Dynamics of Dispersed Systems at Bashkir State University, Ufa, Russia
Nail A. Gumerov
Center for Micro- and Nanoscale Dynamics of Dispersed Systems at Bashkir State University, Ufa, Russia; University of Maryland Institute for Advanced Computer Studies, College Park, Maryland 20740, USA
Iskander S. Akhatov
Center for Design, Manufacturing & Materials, Skolkovo Institute of Science & Engineering (Skoltech), Moscow, Russia

ABSTRACT

Modeling of motion of two-phase liquids in microchannels of different shapes is needed for a variety of industrial applications, such as enhanced oil recovery, advanced material processing, and biotechnology. In the present study a three-dimensional flow of a mixture of two Newtonian liquids of a droplet structure in microchannels at low Reynolds numbers is considered. The computational approach is based on the boundary element method (BEM) accelerated using an advanced scalable algorithm (fast multipole method, FMM), and a heterogeneous computing architecture (multicore CPUs and graphics processors). To solve large-scale problems a flexible general minimal residual solver is developed. Example computations are conducted for dynamics of many deformable drops of different sizes in microchannels. The developed approach can be used for solution of a wide range of problems related to emulsion flows in micro- and nanoscales.