Turbulent combustion sits at the interface of two important nonlinear, multiscale phenomena:
chemistry and turbulence. Its study is extremely timely in view of the need to develop new …

This contribution presents a comprehensive overview of lattice Boltzmann models for non-
ideal fluids, covering both theoretical concepts at both kinetic and macroscopic levels and …

In this paper, we first present a unified framework of multiple-relaxation-time lattice
Boltzmann (MRT-LB) method for the Navier-Stokes and nonlinear convection-diffusion …

Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new
and promising methods for the numerical solution of nonlinear partial differential equations …

In this letter, we derive entropy functions whose local equilibria are suitable to recover the
Navier-Stokes equations in the framework of the Lattice Boltzmann method. For the two …

Over the last decades, several types of collision models have been proposed to extend the
validity domain of the lattice Boltzmann method (LBM), each of them being introduced in its …

We derive minimal discrete models of the Boltzmann equation consistent with equilibrium
thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A new …

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We discuss the cellular automata approach and its extensions, the lattice Boltzmann and
multiparticle methods. The potential of these techniques is demonstrated in the case of …

The lattice Boltzmann method (LBM) is known to suffer from stability issues when the
collision model relies on the BGK approximation, especially in the zero viscosity limit and for …