A two-dimensional finite-difference lattice Boltzmann model for liquid–vapor systems is introduced and analyzed. Two different numerical schemes are used and compared in recovering equilibrium density and velocity profiles for a planar interface. We show that flux limiter techniques can be...

The quench of a binary mixture into a stable lamellar phase is numerically investigated. We present a novel approach to study the phenomenological equations governing the system dynamics based on the combination of lattice Boltzmann and finite difference equations. We can access large systems on...

We present the numerical results of simulations of complex fluids under shear flow. We employ a mixed approach which combines the lattice Boltzmann method for solving the Navier–Stokes equation and a finite difference scheme for the convection–diffusion equation. The evolution in time of...