178 citations · 357 across the 12 of their papers we have counts for
12 papers
Computing statistical solutions of a Mach 2000 astrophysical jet
Stephan Simonis, Gauthier Wissocq
The multi-dimensional compressible Euler equations admit non-unique entropy solutions in turbulent regimes, and extreme-Mach astrophysical flows are a natural setting in which this…
A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions
Gauthier Wissocq, Yongle Liu, Rémi Abgrall
We present a novel positive kinetic scheme built on the efficient collide-and-stream algorithm of the lattice Boltzmann method (LBM) to address hyperbolic conservation laws. We foc…
A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: II. Multi-dimensional case
Gauthier Wissocq, Rémi Abgrall
We extend to multi-dimensions the work of [1], where new fully explicit kinetic methods were built for the approximation of linear and non-linear convection-diffusion problems. The…
A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: I. One-dimensional case
Gauthier Wissocq, Rémi Abgrall
We propose a numerical approach, of the BGK kinetic type, that is able to approximate with a given, but arbitrary, order of accuracy the solution of linear and non-linear convectio…
Hydrodynamic limits and numerical errors of isothermal lattice Boltzmann schemes
Gauthier Wissocq, Pierre Sagaut
With the aim of better understanding the numerical properties of the lattice Boltzmann method (LBM), a general methodology is proposed to derive its hydrodynamic limits in the disc…
A linear stability analysis of compressible hybrid lattice Boltzmann methods
Florian Renard, Gauthier Wissocq, Jean-François Boussuge +1
An original spectral study of the compressible hybrid lattice Boltzmann method (HLBM) on standard lattice is proposed. In this framework, the mass and momentum equations are addres…
Linear stability of athermal regularized lattice Boltzmann methods
Gauthier Wissocq, Christophe Coreixas, Jean-François Boussuge
The present work is dedicated to a better understanding of the stability properties of regularized lattice Boltzmann (LB) schemes. To this extent, linear stability analyses of two-…
Lattice Boltzmann method for computational aeroacoustics on non-uniform meshes: a direct grid coupling approach
Thomas Astoul, Gauthier Wissocq, Jean-françois Boussuge +2
The present study proposes a highly accurate lattice Boltzmann direct coupling cell-vertex algorithm, well suited for industrial purposes, making it highly valuable for aeroacousti…
Analysis and reduction of spurious noise generated at grid refinement interfaces with the lattice Boltzmann method
Thomas Astoul, Gauhier Wissocq, Jean-François Boussuge +2
The present study focuses on the unphysical effects induced by the use of non-uniform grids in the lattice Boltzmann method. In particular, the convection of vortical structures ac…
Impact of collision models on the physical properties and the stability of lattice Boltzmann methods
C. Coreixas, G. Wissocq, B. Chopard +1
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…
Recursive regularization step for high-order lattice Boltzmann methods
Christophe Coreixas, Gauthier Wissocq, Guillaume Puigt +2
A lattice Boltzmann method (LBM) with enhanced stability and accuracy is presented for various Hermite tensor-based lattice structures. The collision operator relies on a regulariz…
Regularized characteristic boundary conditions for the Lattice-Boltzmann methods at high Reynolds number flows
Gauthier Wissocq, Nicolas Gourdain, Orestis Malaspinas +1
This paper reports the investigations done to adapt the Characteristic Boundary Conditions (CBC) to the Lattice-Boltzmann formalism for high Reynolds number applications. Three CBC…