English
Related papers

Related papers: Linear Analysis on Multiple-relaxation-time Lattic…

200 papers

In this paper, we propose a novel two-relaxation-time regularized lattice Boltzmann (TRT-RLB) model for simulating weakly compressible isothermal flows. A free relaxation parameter, $\tau_{s,2}$, is employed to relax the regularized…

Fluid Dynamics · Physics 2024-03-28 Yuan Yu , Zuojian Qin , Siwei Chen , Shi Shu , Hai-Zhuan Yuan

Despite decades of research, creating accurate, robust, and efficient lattice Boltzmann methods (LBM) on non-uniform grids with seamless GPU acceleration remains challenging. This work introduces a novel strategy to address this challenge…

Computational Physics · Physics 2026-01-06 Christophe Coreixas , Jonas Latt

In this paper, 14-velocity and 18-velocity multiple-relaxation-time (MRT) lattice Boltzmann (LB) models are proposed for three-dimensional incompressible flows. These two models are constructed based on the incompressible LBGK model…

Fluid Dynamics · Physics 2017-04-26 Wenhuan Zhang , Baochang Shi , Yihang Wang

In this paper, we aim to address several important issues about the recently developed lattice Boltzmann (LB) model for relativistic hydrodynamics [M. Mendoza et al., Phys. Rev. Lett. 105, 014502 (2010); Phys. Rev. D 82, 105008 (2010)].…

Computational Physics · Physics 2012-11-15 Q. Li , K. H. Luo , X. J. Li

A new lattice Boltzmann method for simulating multiphase flows is developed theoretically. The method is adjusted such that its continuum limit is the Navier-Stokes equation, with a driving force derived from the Cahn-Hilliard free energy.…

Statistical Mechanics · Physics 2014-09-25 Jasna Zelko , Burkhard Duenweg

Lattice Boltzmann method (LBM) has been applied to predict flow properties of porous media including intrinsic permeability, where it is implicitly assumed that the LBM is equivalent to the incompressible (or near incompressible)…

Fluid Dynamics · Physics 2016-10-03 Jun Li , Minh Tuan Ho , Lei Wu , Yonghao Zhang

The lattice Boltzmann method (LBM) is an efficient simulation technique for computational fluid mechanics and beyond. It is based on a simple stream-and-collide algorithm on Cartesian grids, which is easily compatible with modern machine…

Computational Physics · Physics 2021-11-18 Mario Christopher Bedrunka , Dominik Wilde , Martin Kliemank , Dirk Reith , Holger Foysi , Andreas Krämer

In this work, we present a memory-efficient, high-performance GPU framework for moment-based lattice Boltzmann methods (LBM) with fluid-solid coupling. We introduce a split-kernel scheme that decouples fluid updates from solid boundary…

Graphics · Computer Science 2026-02-06 Yixin Chen , Wei Li , David I. W. Levin , Kui Wu

The simplified lattice Boltzmann method (SLBM) is a recent development in the lattice Boltzmann method (LBM) community, addressing the intrinsic limitations of the traditional LBM by directly evolving macroscopic quantities and maintaining…

Fluid Dynamics · Physics 2026-05-29 Zhengwei He , Zhen Chen

A novel Lattice Boltzmann Method applicable to compressible fluid flows is developed. This method is based on replacing the governing equations by a relaxation system and the interpretation of the diagonal form of the relaxation system as a…

Cellular Automata and Lattice Gases · Physics 2015-04-28 S. V. Raghurama Rao , Rohan Deshmukh , Sourabh Kotnala

An algorithm is proposed to implement unsteady jump boundary conditions, presenting discontinuity in physical quantities, within the lattice Boltzmann method (LBM). This is useful to tackle problems involving mass or heat transfer through…

Computational Physics · Physics 2018-11-06 Badr Kaoui

This paper presents multilevel iterative schemes for solving the multigroup Boltzmann transport equations (BTEs) with parallel calculation of group equations. They are formulated with multigroup and grey low-order equations of the…

Numerical Analysis · Mathematics 2026-03-18 Dmitriy Y. Anistratov , Joseph M. Coale , James S. Warsa , Jae H. Chang

Thermal fluctuations play a central role in fluid dynamics at mesoscopic scales and must be incorporated into numerical schemes in a manner consistent with statistical mechanics. In this work, we develop a fluctuating lattice Boltzmann…

Fluid Dynamics · Physics 2026-02-19 Alessandro De Rosis , Yang Zhou

We introduce a regularized fluctuating lattice Boltzmann model (Reg-FLBM) for the D3Q27 lattice, which incorporates thermal fluctuations through Hermite-based projections to ensure compliance with the fluctuation-dissipation theorem. By…

Computational Physics · Physics 2025-11-14 Marco Lauricella , Andrea Montessori , Adriano Tiribocchi , Sauro Succi

In this paper, a multiple-distribution-function finite-difference lattice Boltzmann method (MDF-FDLBM) is proposed for the convection-diffusion system based incompressible Navier-Stokes equations (NSEs). By Chapman Enskog analysis, the…

Fluid Dynamics · Physics 2023-06-16 Xinmeng Chen , Zhenhua Chai , Yong Zhao , Baochang Shi

The particles model, the collision model, the polynomial development used for the equilibrium distribution, the time discretization and the velocity discretization are factors that let the lattice Boltzmann framework (LBM) far away from its…

We propose a hybrid model, coupling Lattice Boltzmann and Molecular Dynamics models, for the simulation of dense fluids. Time and length scales are decoupled by using an iterative Schwarz domain decomposition algorithm. The MD and LB…

Soft Condensed Matter · Physics 2015-06-25 A. Dupuis , E. M. Kotsalis , P. Koumoutsakos

The rigorous simulation of stratified turbulence remains challenging due to pronounced flow anisotropy, suppressed vertical transport, and high sensitivity to numerical dissipation. This study systematically evaluates the predictive…

Fluid Dynamics · Physics 2026-05-15 Hongxuan Zhang

In this paper, we first present a unified framework for the modelling of generalized lattice Boltzmann method (GLBM). We then conduct a comparison of the four popular analysis methods (Chapman-Enskog analysis, Maxwell iteration, direct…

Computational Physics · Physics 2019-05-31 Zhenhua Chai , Baochang Shi

In this work an optimized multicomponent lattice Boltzmann (LB) model is deployed to simulate axisymmetric turbulent jets of a fluid evolving in a quiescent, immiscible environment over a wide range of dynamic regimes. The implementation of…

Fluid Dynamics · Physics 2024-03-26 Andrea Montessori , Luiz A. Hegele , Marco Lauricella