Memory-efficient Lattice Boltzmann Method for low Reynolds number flows

The Lattice Boltzmann Method algorithm is simplified by assuming constant numerical viscosity (the relaxation time fixed at $\tau=1$). This leads to the removal of distribution function from computer memory. To test solver Poiseuille and Driven Cavity flows are simulated analyzed. error solution decreases with grid size L as $L^{-2}$. Compared standard algorithm, presented formulation simpler shorter in implementation. It less error-prone needs significantly working memory low Reynolds number flows. Our tests showed that efficient multiphase overcome this problem, further extension moments-only was derived, inspired Multi-Relaxation Time (MRT) approach for single component