@Article{CiCP-18-450, author = {}, title = {On Initial Conditions for the Lattice Boltzmann Method}, journal = {Communications in Computational Physics}, year = {2018}, volume = {18}, number = {2}, pages = {450--468}, abstract = {

In this paper, we propose two initialization techniques for the lattice Boltzmann method. The first one is based on the theory of asymptotic analysis developed in [M. Junk and W.-A. Yong, Asymptotic Anal., 35(2003)]. By selecting consistent macroscopic quantities, this initialization leads to the second-order convergence for both velocity and pressure. Another one is an improvement of the consistent initial conditions proposed in [R. W. Mei, L.-S. Luo, P. Lallemand and D. d'Humières, Comput. Fluids, 35(2006)]. The improvement involves a modification of the collision term and a reconstruction step. Numerical examples confirm the accuracy and efficiency of our techniques.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.040913.220115a}, url = {http://global-sci.org/intro/article_detail/cicp/11035.html} }