I introduce two mesoscale algorithms, lattice Boltzmann and stochastic rotation dynamics, and show how they can be used to investigate the hydrodynamics of complex fluids. For each method I describe the algorithm, show that it solves the Navier–Stokes equations, and then discuss physical...

We present a free energy lattice Boltzmann approach to modelling the dynamics of liquid drops on chemically patterned substrates. We start by describing a choice of free energy that reproduces the bulk behaviour of a liquid–gas system together with the varying contact angles on surfaces with...

We use a lattice Boltzmann scheme to study the spinodal decomposition of a simple binary mixture and of a structured fluid with lamellar order. In the case of the binary mixture hydrodynamic effects change the growth exponent from the diffusive value z=13 to z = 23. For a lamellar fluid...