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In this paper we show and discuss the use of a versatile interactionpotential approach coupled with an immersed boundary method to simulate avariety of flows involving deformable bodies. In particular, we focus on twokinds of problems, namely (i) deformation of liquid-liquid interfaces and (ii)flow in the left ventricle of the heart with either a mechanical or a naturalvalve. Both examples have in common the two-way interaction of the flow with adeformable interface or a membrane. The interaction potential approach (deTullio & Pascazio, Jou. Comp. Phys., 2016; Tanaka, Wada and Nakamura,Computational Biomechanics, 2016) with minor modifications can be used tocapture the deformation dynamics in both classes of problems. We show that theapproach can be used to replicate the deformation dynamics of liquid-liquidinterfaces through the use of ad-hoc elastic constants. The results from oursimulations agree very well with previous studies on the deformation of dropsin standard flow configurations such as deforming drop in a shear flow or across flow. We show that the same potential approach can also be used to studythe flow in the left ventricle of the heart. The flow imposed into theventricle interacts dynamically with the mitral valve (mechanical or natural)and the ventricle which are simulated using the same model. Results from thesesimulations are compared with ad- hoc in-house experimental measurements.Finally, a parallelisation scheme is presented, as parallelisation isunavoidable when studying large scale problems involving several thousands ofsimultaneously deforming bodies on hundreds of distributed memory computingprocessors.

journal of computational physics

A parallel interaction potential approach coupled with the immersed  boundary method for fully resolved simulations of deformable interfaces and  membranes