Improvement in Interpolation/Distribution Function of Direct-Forcing/Fictitious Domain Method for Fluid-Rigid Body Interactions

Abstract

In this paper, we proposed an interpolation/distribution function based on the discretized Dirac delta function and a reduction parameter to distribute less force outside the interface in interface-capturing methods. Compared to conventional methods such as half distribution (HD) forcing strategy which distributes force only inside the interface, our proposed interpolation/distribution function can adjust the force distributed outside the interface by the reduction parameter. We coupled the proposed interpolation/distribution function with the Direct-Forcing/Fictitious Domain Method (DF/FDM) to solve fluid-rigid body interactions. The numerical results show that the proposed interpolation/distribution function is effective to improve accuracy of the solution for fluid-rigid interaction problems.