Bakytzhan Kallemov

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We develop a rigid multiblob method for numerically solving the mobility problem for suspensions of passive and active rigid particles of complex shape in Stokes flow in uncon-fined, partially confined, and fully confined geometries. As in a number of existing methods , we discretize rigid bodies using a collection of minimally-resolved spherical blobs(More)
We develop an immersed boundary (IB) method for modeling flows around fixed or moving rigid bodies that is suitable for a broad range of Reynolds numbers, including steady Stokes flow. The spatio-temporal discretization of the fluid equations is based on a standard staggered-grid approach. Fluid-body interaction is handled using Peskin's IB method; however,(More)
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We present simulation results from a computational model of polymer flow in microfluidic devices. This work is important because computational models are needed to design minia-turized biomedical devices which leverage microfluidics technology for many significant applications including pathogen detection as well as continuous monitoring and drug delivery(More)
We present a new algorithm for the simulation of polymer-laden flows in microscale environments. Our algorithm is based on a hybridisation of high-order accurate continuum and particle methods. The continuum algorithm provides the basic framework for high-performance computations to resolve device length and time scales. It is coupled to a new particle(More)
We present a new multiscale model for complex fluids based on three scales: microscopic, kinetic and continuum. We choose the microscopic level as Kramers' bead – rod model for polymers, which we describe as a system of stochastic differential equations with an implicit constraint formulation. The associated Fokker– Planck equation is then derived, and(More)
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