… The two first terms, of order O 0 and order O 1 , are sufficient to re… O 0 in Eq. 18b yield the
Euler equation, and that the viscous contributions to the dynamics are determined by the O 1 …

Grid refinement has been addressed by different authors in the lattice Boltzmann method
community. The information communication and reconstruction on grid transitions is of crucial …

In the present paper a lattice Boltzmann scheme is presented which exhibits an increased
stability and accuracy with respect to standard single- or multi-relaxation-time (MRT) …

… in microscopic velocity space) BGK equation (4.38), which is done with the standard trapezoidal
integration combined with a change of variables (see Dellar 2001; Malaspinas 2009, for …

… In a turbulent boundary layer, that constraint yields drastic grid resolution requirements, the
total number of grid points being proportional to O ( Re n ) with n = 9 / 5 (see [8], [35], [44]) or …

The lattice Boltzmann method is nowadays a common tool for solving computational fluid
dynamics problems. One of the difficulties of this numerical approach is the treatment of the …

We present the scope, concepts, data structures and application programming models of
the open-source Lattice Boltzmann library Palabos. Palabos is a C++ software platform …

The simulation of viscoelastic fluids is a challenging task from the theoretical and numerical
points of view. This class of fluids has been extensively studied with the help of classical …

To illustrate the advances made in permeability calculations combining X-ray microtomography
and lattice Boltzmann method simulations, a sample suite of different types of pumices …

This article presents a three-dimensional numerical framework for the simulation of fluid-fluid
immiscible compounds in complex geometries, based on the multiple-relaxation-time lattice …