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Direct simulation of viscous fluid flow and dispersed flow at low Reynolds numbers in microstructures with complex geometry is needed for a wide range of industrial applications associated with the porous materials. The numerical approach is based on the boundary element method (BEM) for 3D problems accelerated both via an advanced scalable algorithm (FMM), and via utilization of a heterogeneous computing architecture (multicore CPUs and graphics processors). This enables direct large scale simulations on a personal workstation, which are confirmed by demo computations. In present work, the hydrodynamic flow of viscous liquid around the rigid structures with various configurations is studied. Also, the numerical approach is successfully applied for modeling the dynamics of deformable dispersed inclusions in the flow around microstructures. The results of the research may be used for the solution of problems related to microfluidic device construction, the theory of the composite materials production, and are of interest for computational hydrodynamics as a whole.

Three-dimensional modeling of the viscous fluid flow and the dynamics of dispersed systems in microstructures using the boundary element method