Computational Method for Interactions between Deformable Objects and Fluid Flows Using Immersed Boundary Method and Mass Spring Model

Abstract

A computational method is proposed for interactions between deformable objects and fluid flows using the immersed boundary method and the mass-spring model. In the proposed method, the direct-forcing immersed boundary (DF/IB) method by Uhlmann is used for the computation of fluid-solid interaction. Multiple mass points are set up on the surface of a solid object and connected to each other with spring-dashpot model. The distinct element method (DEM) is used for the calculation of solid-solid and solid-wall contact forces. The proposed method is applied to lid-driven cavity flow problems with multiple deformable solid objects. The results demonstrated that the proposed method enables us to calculate the deformations of the multiple deformable solid objects due to the fluid-solid and solid-solid interactions.