Efficient immersed-boundary lattice Boltzmann scheme for fluid-structure interaction problems involving large solid deformation.

Abstract

A hybrid numerical method which couples the immersed-boundary lattice Boltzmann method with the smoothed point interpolation method (S-PIM) is presented in this paper for the fluid-structure interaction problems involving large solid deformation. In the method, the lattice Boltzmann method is adopted for its advantages in modeling complex fluid flow, the S-PIM is coupled for its robustness in dealing with large solid deformation, and the immersed-boundary method is used for its efficiency in handling the interaction of fluid and solid. In the fluid-solid coupling procedure, a force correction technique based direct-forcing scheme is introduced to enforce nonslip boundary condition with high accuracy, and an averaged dual time stepping scheme is proposed to get stronger robustness of the present method. Numerical experiments are carefully carried out from benchmark problems such as cylinder Couette flow and a beam in a fluid tunnel to more challenging problems such as a flexible beam in the wake of a cylinder and the swimming of a two-dimensional fishlike body. Comparisons of the numerical results with the referenced solutions show that all desirable features of these coupled methods are inherited in the present coupling scheme, and the efficiency of the present method to model such complex problems is verified.