Abstract
We verify the effectiveness of the two-relaxation-time (TRT) collision operator in reducing boundary slip computed by the immersed boundary-lattice Boltzmann method (IB-LBM). Rigorous analysis of the symmetric Poiseuille flows reveals that the relaxation time for the antisymmetric part controls the boundary velocity and the boundary slip velocity computed by the IB-LBM. In the simulation of the cylindrical Couette flows, the boundary slip caused by the use of the single relaxation time (SRT) model in the IB-LBM impairs the accuracy that the LBM intrinsically possesses. The IB-LBMs with the TRT exhibit second-order accuracy in space for both the direct forcing method and the implicit correction method.
