Asymptotic equivalence of forcing terms in the lattice Boltzmann method within second-order accuracy.

We show the asymptotic equivalence of two forcing schemes in the lattice Boltzmann method (LBM) within second-order accuracy through the asymptotic analysis instead of the Chapman-Enskog analysis. We consider the single relaxation time LBM with the following two forcing schemes: the simplest scheme by He et al. [J.

Numerical simulations of the behaviour of a drop in a square pipe flow using the two-phase lattice Boltzmann method.

The lattice Boltzmann method for multi-component immiscible fluids is applied to simulations of the behaviour of a drop in a square pipe flow for various Reynolds numbers of 10 View Article and Find Full Text PDF

A lattice kinetic scheme for incompressible viscous flows with heat transfer.

A lattice kinetic scheme for incompressible viscous flows with heat transfer is developed based on the lattice Boltzmann method. In the new scheme, macroscopic variables are calculated without velocity distribution functions. Thus, the scheme can save computer memory because there is no need to store the velocity distribution functions.

A lattice kinetic scheme for bubble flows.

A lattice kinetic scheme for two-phase immiscible fluids with large density ratios is presented. The difficulty in the treatment of large density ratio is resolved by using the projection method. The method can simulate two-phase fluid flows with a density ratio up to 1000.