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...

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...

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...