Abstract
To find accurate and computationally efficient algoriths for treating boundary conditions in the Link-wise Artificial Compressibility Method proposed by Asinari et al.(1), we have introduced a simple method based on the extrapolation of macroscopic variables. For the extrapolation, three different immersed boundary techniques available in the literature have been considered. Then, we have conducted numerical simulation of flows around a periodic array of spheres, and have compared the obtained numerical results with the existing analytical ones to assess the accuracy and the grid convergence of the present methods.
