The lattice Boltzmann method

T Krüger, H Kusumaatmaja, A Kuzmin, O Shardt… - Springer International …, 2017 - Springer
Interest in the lattice Boltzmann method has been steadily increasing since it grew out of
lattice gas models in the late 1980s. While both of these methods simulate the flow of liquids …

Recent progress of lattice Boltzmann method and its applications in fluid-structure interaction

L Wang, Z Liu, M Rajamuni - Proceedings of the Institution of …, 2023 - journals.sagepub.com
Fluid-structure interaction (FSI) is a very common physical phenomenon which extensively
exists in nature, human daily life and many engineering applications. The lattice Boltzmann …

A new hybrid recursive regularised Bhatnagar–Gross–Krook collision model for lattice Boltzmann method-based large eddy simulation

J Jacob, O Malaspinas, P Sagaut - Journal of Turbulence, 2018 - Taylor & Francis
ABSTRACT A new Lattice Boltzmann collision model for large eddy simulation (LES) of
weakly compressible flows is proposed. This model, referred to as the Hybrid Recursive …

Mesoscopic simulations at the physics-chemistry-biology interface

M Bernaschi, S Melchionna, S Succi - Reviews of Modern Physics, 2019 - APS
This review discusses the lattice Boltzmann–particle dynamics (LBPD) multiscale paradigm
for the simulation of complex states of flowing matter at the interface between physics …

Lattice boltzmann 2038

S Succi - Europhysics Letters, 2015 - iopscience.iop.org
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Lattice Boltzmann approach for complex nonequilibrium flows

A Montessori, P Prestininzi, M La Rocca, S Succi - Physical Review E, 2015 - APS
We present a lattice Boltzmann realization of Grad's extended hydrodynamic approach to
nonequilibrium flows. This is achieved by using higher-order isotropic lattices coupled with a …

High-order regularization in lattice-Boltzmann equations

KK Mattila, PC Philippi, LA Hegele - Physics of Fluids, 2017 - pubs.aip.org
A lattice-Boltzmann equation (LBE) is the discrete counterpart of a continuous kinetic model.
It can be derived using a Hermite polynomial expansion for the velocity distribution function …

Linear and brute force stability of orthogonal moment multiple-relaxation-time lattice Boltzmann methods applied to homogeneous isotropic turbulence

S Simonis, M Haussmann… - … of the Royal …, 2021 - royalsocietypublishing.org
Multiple-relaxation-time (MRT) lattice Boltzmann methods (LBM) based on orthogonal
moments exhibit lattice Mach number dependent instabilities in diffusive scaling. The …

Linear stability and isotropy properties of athermal regularized lattice Boltzmann methods

G Wissocq, C Coreixas, JF Boussuge - Physical Review E, 2020 - APS
The present work proposes a general methodology to study stability and isotropy properties
of lattice Boltzmann (LB) schemes. As a first investigation, such a methodology is applied to …

Hydrodynamic limits and numerical errors of isothermal lattice Boltzmann schemes

G Wissocq, P Sagaut - Journal of Computational Physics, 2022 - Elsevier
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 …