Lattice Boltzmann simulation of shear-thinning fluids

It is shown how shear-thinning flow can be simulated without the need for numerical differentiation by following a lattice Boltzmann approach. The basic idea of is to combine the Cross model of viscosity with a 3D multiple relaxation time lattice Boltzmann method and to extract the required velocity derivatives from intrinsic quantities of the lattice Boltzmann scheme. Computational results are presented for a simple benchmark and for the simulation of liquid composite moulding.