Abstract
A new approach to represent the non-slip boundary condition in the lattice-Boltzmann method (LBM) was proposed to improve the resolution for flow in the vicinity of solid wall. Considering the velocity distribution function as a volumetric average in each lattice, the solid boundary was taken into account in the convection process, not in the collision process as in the previous method. Then we applied it to the driven flow in a square cavity of Reynolds number up to 7 500. The wall-limiting profile of velocity and the numerical stability were significantly improved by our method in comparison with previous ones. We believe our proposal could contribute to develop an applicability of LBM for higher Reynolds number flows.
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