We report on the development, implementation and validation of a new Lattice Boltzmann method (LBM) for the numerical simulation of three-dimensional multiphase flows (here with only two components) with both high density ratio and high Reynolds number. This method is based in part on, but aims at achieving a higher computational efficiency than Inamuro et al.’s model (Inamuro et al., 2004). He...

is a reduced-order kinetic model to reproduce the Navier-Stokes hydrodynamics (and beyond) at a macroscopic level. Since the pioneering work of McNamura and Zanetti (1988), the LB method has been extended to various complex flows involving, for example, multicomponent and interfacial phenomena , and has been particularly successful for multiphase flows in complex geometry and porous media (Succ...

A lattice Boltzmann model for simulating multiphase flows with large density ratios is described in this paper. The method is easily implemented. It does not require solving the Poisson equation and does not involve the complex treatments of derivative terms. The interface capturing equation is recovered without any additional terms as compared to other methods [M.R. Swift, W.R. Osborn, J.M. Ye...

We present the development of a Lattice Boltzmann Method (LBM) for the numerical simulation of multiphase flows with high density ratios, such as found in ocean surface wave and air–sea interaction problems, and its efficient implementation on a massively parallel General Purpose Graphical Processing Unit (GPGPU). The LBM extends Inamuro’s et al.’s (2004) multiphase method by solving the Cahn–H...

In this paper we analytically solve the velocity of the lattice Boltzmann BGK equation [LBGK) Ibr several simple flows. The analysis provides a framework to theoretically analyze various boundary conditions. In particular, the analysis is used to derive the slip velocities generated by various schemes for the nonslip boundary condition. We find that the slip velocity is zero as long as Z=J~e~ =...