We present an alternative three-dimensional lattice Boltzmann collision operator consisting of a nonorthogonal basis central moments. Our formulation is characterized by intelligible derivation with relatively simple and quite general implementation. It successfully validated against several established, well-consolidated, well-defined benchmark problems, showing excellent properties in terms accuracy convergence. If compared to the adoption classical Bhatnagar-Gross-Krook operator, our...

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 multiphysics phenomena", Phys. Fluids 31, 117102 (2019)], multiple-relaxation-time (LBM) has been proposed by means D3Q27 discretization, where collision stage is performed in space central moments (CMs). These quantities relax towards an elegant Galilean invariant equilibrium, can also include effect accelerations. Here,...

The cascaded or central-moments-based lattice Boltzmann method (CM-LBM) is a robust alternative to the more conventional Bhatnagar-Gross-Krook-LBM for simulation of high-Reynolds number flows. Unfortunately, its original formulation makes extension broader range physics quite difficult. In addition, it relies on CMs that are derived in an ad hoc manner, i.e., by mimicking those Maxwell-Boltzmann distribution ensure their Galilean invariance posteriori. This work aims at tackling both issues...

Abstract A novel D2Q9 lattice Boltzmann scheme based on the relaxation of central moments is presented. Differently from previous efforts, here we introduce a non-orthogonal basis which relax to discrete local equilibrium. Under these choices, our proposed model recovers exactly BGK collision kernel if unique rate adopted. Numerical tests involving well-consolidated canonical problems highlight excellent properties algorithm in terms accuracy, convergence and stability. Moreover, formulation...

In this paper, a lattice Boltzmann model for the coupled Allen–Cahn–Navier–Stokes equations in three dimensions is presented. Two are solved: one fluid velocity and order parameter. Both written within general multiple-relaxation-time framework, where all equilibrium forcing terms described by using full set of Hermite polynomials. The resultant practical implementation compact. gradient parameter can be computed non-local finite differences or local central moments. latter suffers from...

Abstract This work is concerned with the modelling of interaction fluid flow flexibly supported rigid bodies. The modelled by Lattice-Boltzmann Method, coupled to a set ordinary differential equations describing dynamics solid body in terms its elastic and damping properties. time discretization performed via Time Discontinuous Galerkin Method. Several numerical examples are presented highlight robustness efficiency proposed methodology, means comparisons previously published results. show...

We develop a lattice Boltzmann (LB) model for immiscible two-phase flow simulations with central moments (CMs). This successfully combines three-dimensional nonorthogonal CM-based LB scheme [De Rosis, Phys. Rev. E 95, 013310 (2017)2470-004510.1103/PhysRevE.95.013310] our previous color-gradient [Saito, Abe, and Koyama, 96, 013317 (2017)2470-004510.1103/PhysRevE.96.013317]. Hydrodynamic melt-jet breakup show that the proposed is significantly more stable, even extremely high Reynolds numbers,...

The cascaded lattice Boltzmann method decomposes the collision stage on a basis of central moments which equilibrium state is assumed equal to that continuous Maxwellian distribution. Such relaxation process usually considered as an assumption, then justified posteriori by showing enhanced Galilean invariance resultant algorithm. An alternative relax discrete second-order truncated In this paper, we demonstrate distribution equivalent counterpart if higher-order (up sixth) Hermite...

Simulating plasmas in the Hall-MagnetoHydroDynamics (Hall-MHD) regime represents a valuable {approach for investigation of} complex non-linear dynamics developing astrophysical {frameworks} and {fusion machines}. Taking into account Hall electric field is {computationally very challenging as} it involves {the integration an additional term, proportional to $\bNabla \times ((\bNabla\times\mathbf{B})\times \mathbf{B})$ Faraday's induction {law}. {The latter feeds back on} magnetic $\mathbf{B}$...

Abstract In this paper, an original phase‐field lattice Boltzmann scheme for a system composed of two immiscible and incompressible fluids interacting with moving solids is developed, presented, tested the first time. The proposed approach benchmarked against experimental data smoothed particle hydrodynamics simulations four well‐established two‐dimensional problems where rigid body interacts interface between fluids. outlined methodology represents very good candidate to perform...

Within the framework of central-moment-based lattice Boltzmann method, we propose a strategy to account for external forces in two and three dimensions. Its numerical properties are evaluated against consolidated benchmark problems, highlighting very high accuracy optimal convergence. Moreover, our derivations light intelligible.

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 preserving its advantages. A very recent paper [De Rosis et al., “Double-D2Q9 models with extended equilibrium two-dimensional flows,” Phys. Fluids 33, 035143 (2021)] demonstrated SLBM enforces divergence-free condition magnetic field an excellent manner and involves lowest amount virtual memory. However, is characterized by...

This paper presents a numerical scheme to account for external forces in the central-moments–based lattice Boltzmann method. Instead of deriving additional forcing operators, here we propose incorporate directly equilibrium populations. The resultant concise methodology is validated against established well-defined problems admitting analytical solution, showing very good accuracy and convergence rate. Moreover, it outperforms classical BGK kernel terms stability.