A general framework for constructing discrete Boltzmann model for non-equilibrium flows
based on the Shakhov model is presented. The Hermite polynomial expansion and a set of …

The formulation of a consistent thermohydrodynamics with a discrete model of the
Boltzmann equation requires the representation of the velocity moments up to the fourth …

In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field
theory is proposed for simulating axisymmetric multiphase flows. The most striking feature of …

We simulate scalar mixing and chemical reactions using the lattice Boltzmann method.
Simulations of initially non-premixed binary mixtures yield scalar probability distribution …

We present an improved lattice Boltzmann model for high-speed compressible flows. The
model is composed of a discrete-velocity model by Kataoka and Tsutahara15 and an …

This thesis is dedicated to the derivation and the validation of a new collision model as a
stabilization technique for high-order lattice Boltzmann methods (LBM). More specifically, it …

The lattice-Boltzmann method has shown promise in simulating multiphase flows. However,
when using the Bhatnagar-Gross-Krook (BGK) collision operator and polynomial equilibria …

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 …

This article is dedicated to the construction of a robust and accurate numerical scheme
based on the lattice Boltzmann method (LBM) for simulations of gaseous detonations. This …

The primary and key task of binary fluid flow modeling is to track the interface with good
accuracy, which is usually challenging due to the sharp-interface limit and numerical …