Japan Society for Computational Methods in Engineering
Abstract
In the present paper, we analytically and numerically investigate the boundary error computed by the immersed boundary-finite difference lattice Boltzmann method (IBFDLBM). In the FDLBM calculation, we set the magnitude of the discrete velocity independently from the grid spacing. Rigorous analysis is performed in order to derive the analytical solutions for the velocity gradient, the boundary velocity, and the boundary error computed by the IB-FDLBM. We demonstrate the small magnitude of the discrete velocity is effective in decreasing the boundary error at high relaxation time in the numerical analyses of the symmetric shear flows and of the cylindrical Couette flows
