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An immersed boundary method with direct forcing for the simulation of particulate flows. (English) Zbl 1138.76398
Summary: We present an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid. The main idea is to incorporate C.S. Peskin’s regularized delta function approach [Acta Numerica 11, 479–517 (2002; Zbl 1123.74309)] into a direct formulation of the fluid-solid interaction force in order to allow for a smooth transfer between Eulerian and Lagrangian representations while at the same time avoiding strong restrictions of the time step. This technique was implemented in a finite-difference and fractional-step context. A variety of two- and three-dimensional simulations are presented, ranging from the flow around a single cylinder to the sedimentation of 1000 spherical particles. The accuracy and efficiency of the current method are clearly demonstrated.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
74S10 Finite volume methods applied to problems in solid mechanics
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