Analysis of blood as a two phase flow of densely packed finite size particles is a challenging problem that requires a numerical approach that can efficiently and accurately handle large numbers of objects moving through a fluid. Numerical schemes such as the Arbitrary Lagrangian-Eulerian method (ALE), Distributed Lagrangian Multiplier (DLM) or the Immersed Boundary Method (IBM) are useful for simulating particulate flows. However, in the development of a multiscale framework where the dynamics of particles may be evolved at different scales, these methods may be too expensive for the desired resolution.

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