Comprehensive comparison of collision models in the lattice Boltzmann framework: Theoretical investigations
C Coreixas, B Chopard, J Latt - Physical Review E, 2019 - APS
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 …
validity domain of the lattice Boltzmann method (LBM), each of them being introduced in its …
[HTML][HTML] An interpretation and derivation of the lattice Boltzmann method using Strang splitting
PJ Dellar - Computers & Mathematics with Applications, 2013 - Elsevier
The lattice Boltzmann space/time discretisation, as usually derived from integration along
characteristics, is shown to correspond to a Strang splitting between decoupled streaming …
characteristics, is shown to correspond to a Strang splitting between decoupled streaming …
Lattices for the lattice Boltzmann method
SS Chikatamarla, IV Karlin - Physical Review E—Statistical, Nonlinear, and …, 2009 - APS
A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and
Karlin, Phys. Rev. Lett. 97, 190601 (2006)] is elaborated in detail. A general theory of the …
Karlin, Phys. Rev. Lett. 97, 190601 (2006)] is elaborated in detail. A general theory of the …
Progress and investigation on lattice Boltzmann modeling of multiple immiscible fluids or components with variable density and viscosity ratios
S Leclaire, M Reggio, JY Trépanier - Journal of Computational Physics, 2013 - Elsevier
Lattice Boltzmann models for simulating multiphase flows are relatively new, and much work
remains to be done to demonstrate their ability to solve fundamental test cases before they …
remains to be done to demonstrate their ability to solve fundamental test cases before they …
Efficient supersonic flow simulations using lattice Boltzmann methods based on numerical equilibria
J Latt, C Coreixas, J Beny… - … Transactions of the …, 2020 - royalsocietypublishing.org
A double-distribution-function based lattice Boltzmann method (DDF-LBM) is proposed for
the simulation of polyatomic gases in the supersonic regime. The model relies on a …
the simulation of polyatomic gases in the supersonic regime. The model relies on a …
Lattice Boltzmann method with selective viscosity filter
For high-Reynolds number flows, the lattice Boltzmann method suffers from numerical
instabilities that can induce local blowup of the computation. The von Neumann stability …
instabilities that can induce local blowup of the computation. The von Neumann stability …
Essentially entropic lattice Boltzmann model
The entropic lattice Boltzmann model (ELBM), a discrete space-time kinetic theory for
hydrodynamics, ensures nonlinear stability via the discrete time version of the second law of …
hydrodynamics, ensures nonlinear stability via the discrete time version of the second law of …
Entropic lattice Boltzmann model for gas dynamics: Theory, boundary conditions, and implementation
N Frapolli, SS Chikatamarla, IV Karlin - Physical Review E, 2016 - APS
We present in detail the recently introduced entropic lattice Boltzmann model for
compressible flows [N. Frapolli, Phys. Rev. E 92, 061301 (R)(2015) PLEEE8 1539-3755 …
compressible flows [N. Frapolli, Phys. Rev. E 92, 061301 (R)(2015) PLEEE8 1539-3755 …
Multiple-relaxation-time lattice Boltzmann approach to compressible flows with flexible specific-heat ratio and Prandtl number
A new multiple-relaxation-time lattice Boltzmann scheme for compressible flows with
arbitrary specific-heat ratio and Prandtl number is presented. In the new scheme, which is …
arbitrary specific-heat ratio and Prandtl number is presented. In the new scheme, which is …
Two-dimensional lattice Boltzmann model for compressible flows with high Mach number
In this paper we present an improved lattice Boltzmann model for compressible Navier–
Stokes system with high Mach number. The model is composed of three components:(i) the …
Stokes system with high Mach number. The model is composed of three components:(i) the …