Exact artificial boundary conditions for a lattice Boltzmann method

摘要: Abstract When using a lattice Boltzmann method on an unbounded (or very large) domain one has to confine this spatial computational domain. This is realized by introducing so-called artificial boundary conditions. Until recently, characteristic conditions for the Euler equations were considered and adapted method. In work we propose novel discrete which are derived directly chosen model, i.e., on level. They represent first exact methods. Doing so, avoid any detour of considering continuous obtain that perfectly numerical scheme. We illustrate idea dimensional, two velocity (D1Q2) show how efficiency can be increased finite memory approach. Analytical investigations results finally demonstrate advantages our new condition compared previously used