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Deformable elastic bodies in viscous and viscoelastic media constitute alarge portion of synthetic and biological complex fluids. We present aparallelized 3D-simulation methodology which fully resolves the momentumbalance in the solid and fluid domains. An immersed boundary algorithm isexploited known as the immersed finite element method (IFEM) which accuratelydetermines the internal forces in the solid domain. The scheme utilized has theadvantages of requiring no costly re-meshing, handling finite Reynold's number,as well as incorporating non-linear viscoelasticity in the fluid domain. Ouralgorithm is designed for computationally efficient simulation ofmulti-particle suspensions with mixed structure types. The internal forcecalculation in the solid domain in the IFEM is coupled with a finite volumebased incompressible fluid solver, both of which are massively parallelized fordistributed memory architectures. We performed extensive case studies to ensurethe fidelity of our algorithm. Namely, a series of single particle simulationsfor capsules, red blood cells, and elastic solid deformable particles wereconducted in viscous and viscoelastic media. All of our results are inexcellent quantitative agreement with the corresponding reported data in theliterature which are based on different simulation platforms. Furthermore, weassess the accuracy of multi-particle simulation of blood suspensions (redblood cells in plasma) with and without platelets. Finally, we present theresults of a novel simulation of multiple solid deformable objects in aviscoelastic medium.

Immersed-finite-element method for deformable particle suspensions in viscous and viscoelastic media