An Explicit-Correction-Force Scheme of IB-LBM Based on Interpolated Particle Distribution Function

Abstract

In order to obtain a better numerical simulation method for fluid–structure interaction (FSI), the IB-LBM combining the lattice Boltzmann method (LBM) and immersed boundary method (IBM) has been studied more than a decade. For this purpose, an explicit correction force scheme of IB-LBM was proposed in this paper. Different from the current IB-LBMs, this paper introduced the particle distribution function to the interpolation process from the fluid grids to the immersed boundary at the mesoscopic level and directly applied the LBM force models to obtain the interface force with a simple form and explicit process. Then, in order to ensure the mass conservation in the local area of the interface, this paper corrected the obtained interface force with the correction matrix, forming the total explicit-correction-force (ECP) scheme of IB-LBM. The results of four numerical tests were used to verify the order of accuracy and effectiveness of the present method. The streamline penetration is limited and the numerical simulation with certain application significance is successful for complex boundary conditions such as the movable rigid bodies (free oscillation of the flapping foil) and flexible deformable bodies (free deformation of cylinders). In summary, we obtained a simple and alternative simulation method that can achieve good simulation results for engineering reference models with complex boundary problems.

Lattice Boltzmann Model for a Class of Time Fractional Partial Differential Equation

“…Compared with conventional numerical methods, it involves only simple arithmetic calculations, high parallelism, and efficiently handles complicated boundary conditions. In addition, the LB method has been developed to simulate linear and nonlinear partial differential equations, and interested readers may wish to consult these documents [28][29][30][31][32][33][34][35][36][37]. Compared with the extensive LB method studies on the classical partial differential equations, there are limited studies on FPDEs.…”