The fictitious domain (FD) method refers to a CFD (computational fluid dynamics) technique which extends the complex computational domain to a simple one (such as a rectangular domain) by filling the non-fluid-domain with fictitious fluids, similar to the immersed boundary method. The FD method for particle-fluid interactions was originally proposed by Glowinski et al. (1999).

In this talk, I will briefly introduce the formulation and our numerical schemes of the FD method for the particle-fluid interactions, our extensions of the FD method to deal with particle-laden flows with heat transfer, particle dielectrophoresis and fluid/elastic-body interactions, and some applications including inertia-induced particle radial migration and particle-induced turbulence transition in pipe flow, particle-turbulence interactions in channel and duct flows, and effects of particle deformability on the particle separation in a deterministic lateral displacement device.