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A Numerical Algorithm for Complex Biological Flow in Irregular Microdevice Geometries

D. Trebotich, P. Colella, G.H. Miller, A. Nonaka, T. Marshall, S. Gulati and D. Liepmann
Lawrence Livermore National Laboratory, US

Keywords: non-Newtonian, viscoelasticity, Oldroyd-B, microfluidics, projection methods, embedded boundaries

Abstract:
We present a numerical algorithm to simulate non-Newtonian flow in complex microdevice components. The model consists of continuum viscoelastic incompressible flow in irregular microscale geometries. Our numerical approach is the projection method of Bell, Colella and Glaz (BCG) to impose the incompressibility constraint coupled with the polymeric stress splitting discretization of Trebotich, Colella and Miller (TCM). In this approach we exploit the hyperbolic structure of the equations of motion to achieve higher resolution in the presence of strong gradients and to gain an order of magnitude in the timestep. We also extend BCG and TCM to an embedded boundary method to treat irregular domain geometries which exist in microdevices. Our method allows for particle representation in a continuum fluid. We present preliminary results for incompressible viscous flow with comparison to flow of DNA and simulants in microchannels and other components used in chem/bio microdevices. This work was performed under the auspices of the U.S. Department of Energy by the University of California, Lawrence Livermore National Laboratory under contract No. W-7405-Eng-48.

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