Abstract Rayleigh–Taylor (RT) and Richtmyer–Meshkov (RM) instabilities are well-known
pathways towards turbulent mixing layers, in many cases characterized by significant mass …

Over the past few decades, tremendous progress has been made in the development of
particle-based discrete simulation methods versus the conventional continuum-based …

Lattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of
complex fluid systems and has attracted interest from researchers in computational physics …

With its roots in kinetic theory and the cellular automaton concept, the lattice-Boltzmann (LB)
equation can be used to obtain continuum flow quantities from simple and local update rules …

The generalized hydrodynamics (the wave vector dependence of the transport coefficients)
of a generalized lattice Boltzmann equation (LBE) is studied in detail. The generalized lattice …

Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new
and promising methods for the numerical solution of nonlinear partial differential equations …

The method of lattice Boltzmann equation (LBE) is a kinetic-based approach for fluid flow
computations. This method has been successfully applied to the multi-phase and multi …

A stable discretization of the lattice Boltzmann equation (LBE) for non-ideal gases is
presented for simulation of incompressible two-phase flows having high density and …

In this paper, we present a brief overview of the phase-field-based lattice Boltzmann method
(LBM) that is a distinct and efficient numerical algorithm for multiphase flow problems. We …

A lattice Boltzmann model (LBM) is proposed based on the phase-field theory to simulate
incompressible binary fluids with density and viscosity contrasts. Unlike many existing …