Stable immersed boundary-lattice Boltzmann method

Abstract

Based on the boundary condition-enforced immersed boundary-lattice Boltzmann method (IB-LBM), a stable variant of IB-LBM is proposed. By replacing the single-relaxation time (SRT) model in boundary condition-enforced IB-LBM with the multi-relaxation time (MRT) model, its stability and applicability are improved. In the meantime, the strict satisfaction of non-slip boundary condition is still guaranteed. To validate the current method, the simulation of two-dimensional flow over a circular cylinder with moderate and high Reynolds number is carried out. By comparing the obtained numerical results with previous data in literature, the good agreement is achieved, which illustrates the capability of the proposed method.