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We present a parallel-scalable method for simulating non-dilute suspensionsof deformable particles immersed in Stokesian fluid in three dimensions. Acritical component in these simulations is robust and accurate collisionhandling. This work complements our previous work [L. Lu, A. Rahimian, and D.Zorin. Contact-aware simulations of particulate Stokesian suspensions. Journalof Computational Physics 347C: 160-182] by extending it to 3D and byintroducing new parallel algorithms for collision detection and handling. Weuse a well-established boundary integral formulation with spectral Galerkinmethod to solve the fluid flow. The key idea is to ensure an interference-freeparticle configuration by introducing explicit contact constraints into thesystem. While such constraints are typically unnecessary in the formulationthey make it possible to eliminate catastrophic loss of accuracy in thediscretized problem by preventing contact explicitly. The incorporation ofcontact constraints results in a significant increase in stable time-step sizefor locally-implicit time-stepping and a reduction in the necessary number ofdiscretization points for stability. Our method maintains the accuracy ofprevious methods at a significantly lower cost for dense suspensions and thetime step size is independent from the volume fraction. Our method permitssimulations with high volume fractions; we report results with up to 60% volumefraction. We demonstrated the parallel scaling of the algorithms on up to 16KCPU cores.

Parallel contact-aware simulations of deformable particles in 3D Stokes flow