AbstractThe lattice Boltzmann method (LBM) for the incompressible Navier–Stokes (NS) equations and the gas kinetic scheme for the compressible NS equations are based on the kinetic theory of gases. In the latter case, however, it is shown that the kinetic formulation is necessary only in the discontinuous reconstruction of fluid-dynamic variables for shock capturing. Analogously we will discuss the reduction of a kinetic method for the incompressible case, where the LBM scheme will be shown to shrink to an artificial compressibility type finite-difference scheme. We will prove first that a simple and compact LBM scheme cannot catch rarefied effects beyond Navier–Stokes and hence that it is worth the effort to develop kinetic-based FD altern...
We present a Lattice Boltzmann method for the simulation of a wide range of Knudsen regimes. The met...
In recent years, Lattice Boltzmann Method (LBM) is a novel approach in dealing fluid dynamic problem...
Lattice Boltzmann schemes are efficient numerical methods to solve a broad range of problems under t...
AbstractThe lattice Boltzmann method (LBM) for the incompressible Navier–Stokes (NS) equations and t...
A finite difference lattice Boltzmann method based on the Bhatnagar–Gross–Krook-type modeled Boltzma...
Compared to conventional techniques in computational fluid dynamics, the lattice Boltzmann method (L...
Compared to conventional techniques in computational uid dynamics, the lattice Boltzmann method (LB...
A finite-difference-based lattice Boltzmann model, employing the 2-D, 9-velocity square (D2Q9) latti...
In the paper we discuss the transition from kinetic theory to macroscopic fluid equations, where the...
The essential role of kinetic theory in the numerical methods for the Navier‐Stokes equations (compr...
International audienceLattice Boltzmann schemes are efficient numerical methods to solve a broad ran...
International audienceThe motivation of this study is twofold. First, a recursive mathematical formu...
The simulation of multiphase flows is an outstanding challenge, due to the inherent complexity of th...
In this paper, we develop a numerical method to solve Boltzmann like equations of kinetic theory whi...
International audienceIn this article, we propose a numerical framework based on multiple relaxation...
We present a Lattice Boltzmann method for the simulation of a wide range of Knudsen regimes. The met...
In recent years, Lattice Boltzmann Method (LBM) is a novel approach in dealing fluid dynamic problem...
Lattice Boltzmann schemes are efficient numerical methods to solve a broad range of problems under t...
AbstractThe lattice Boltzmann method (LBM) for the incompressible Navier–Stokes (NS) equations and t...
A finite difference lattice Boltzmann method based on the Bhatnagar–Gross–Krook-type modeled Boltzma...
Compared to conventional techniques in computational fluid dynamics, the lattice Boltzmann method (L...
Compared to conventional techniques in computational uid dynamics, the lattice Boltzmann method (LB...
A finite-difference-based lattice Boltzmann model, employing the 2-D, 9-velocity square (D2Q9) latti...
In the paper we discuss the transition from kinetic theory to macroscopic fluid equations, where the...
The essential role of kinetic theory in the numerical methods for the Navier‐Stokes equations (compr...
International audienceLattice Boltzmann schemes are efficient numerical methods to solve a broad ran...
International audienceThe motivation of this study is twofold. First, a recursive mathematical formu...
The simulation of multiphase flows is an outstanding challenge, due to the inherent complexity of th...
In this paper, we develop a numerical method to solve Boltzmann like equations of kinetic theory whi...
International audienceIn this article, we propose a numerical framework based on multiple relaxation...
We present a Lattice Boltzmann method for the simulation of a wide range of Knudsen regimes. The met...
In recent years, Lattice Boltzmann Method (LBM) is a novel approach in dealing fluid dynamic problem...
Lattice Boltzmann schemes are efficient numerical methods to solve a broad range of problems under t...