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A Parallel Boundary Element Formulation for Tracking Multiple Particle Trajectories in Stoke’s Flow for Microfluidic Applications

Z. Karakaya1, B. Baranoğlu2, B. Çetin3, A. Yazici4
Computer Engng. Dept., Atilim University, Turkey.
Manufacturing Engng. Dept., Atilim University, Turkey.
Microfluidics & Lab-on-a-chip Research Group, Mech. Engng. Dept., Bilkent University, Turkey.
Software Engng. Dept., Atilim University, Turkey.

Computer Modeling in Engineering & Sciences 2015, 104(3), 227-249. https://doi.org/10.3970/cmes.2015.104.227

Abstract

A new formulation for tracking multiple particles in slow viscous flow for microfluidic applications is presented. The method employs the manipulation of the boundary element matrices so that finally a system of equations is obtained relating the rigid body velocities of the particle to the forces applied on the particle. The formulation is specially designed for particle trajectory tracking and involves successive matrix multiplications for which SMP (Symmetric multiprocessing) parallelisation is applied. It is observed that present formulation offers an efficient numerical model to be used for particle tracking and can easily be extended for multiphysics simulations in which several physics involved.

Keywords

Boundary Element Method, particle tracking, Stoke’s flow, parallel computing.

Cite This Article

Karakaya, Z., Baranoğlu, B., Çetin, B., Yazici, A. (2015). A Parallel Boundary Element Formulation for Tracking Multiple Particle Trajectories in Stoke’s Flow for Microfluidic Applications. CMES-Computer Modeling in Engineering & Sciences, 104(3), 227–249.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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