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 …

In a recent work [A. De Rosis, R. Huang, and C. Coreixas,“Universal formulation of central-
moments-based lattice Boltzmann method with external forcing for the simulation of …

The cascaded or central-moments-based lattice Boltzmann method (CM-LBM) is a robust
alternative to the more conventional Bhatnagar-Gross-Krook-LBM for the simulation of high …

In this paper, a lattice Boltzmann model for the coupled Allen–Cahn–Navier–Stokes
equations in three dimensions is presented. Two equations are solved: one for the fluid …

The cascaded lattice Boltzmann method decomposes the collision stage on a basis of
central moments on which the equilibrium state is assumed equal to that of the continuous …

In this paper, we propose a new simplified lattice Boltzmann method (SLBM) for
magnetohydrodynamic flows that outperforms the classical one in terms of accuracy, while …

Simulating plasmas in the Hall-magnetohydrodynamics (Hall-MHD) regime represents a
valuable approach for the investigation of complex nonlinear dynamics developing in …

This short communication summarises recent developments and ongoing work on Hybrid
RANS-LES Methods (HRLM) at The University of Manchester. Our work is focussed primarily …

We propose a single-step simplified lattice Boltzmann algorithm capable of performing
magnetohydrodynamic (MHD) flow simulations in pipes for very small values of magnetic …

The vast majority of the existing lattice Boltzmann methods (LBMs) suggest to relax relevant
quantities to a second-order truncated equilibrium state. Despite its simplicity and popularity …