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We present an energy-conserving multiple-relaxation-time finite difference lattice Boltzmann model for compressible flows. This model is based on a 16-discrete-velocity model. The collision step is first calculated in the moment space and…

统计力学 · 物理学 2015-05-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

Lattice Boltzmann schemes rely on the enlargement of the size of the target problem in order to solve PDEs in a highly parallelizable and efficient kinetic-like fashion, split into a collision and a stream phase. This structure, despite the…

数值分析 · 数学 2025-10-02 Thomas Bellotti , Benjamin Graille , Marc Massot

Spurious velocities arising from the imperfect offset of the undesired term at the discrete level are frequently observed in numerical simulations of equilibrium multiphase flow systems using the lattice Boltzmann equation (LBE) method. To…

流体动力学 · 物理学 2023-11-21 Long Ju , Peiyao Liu , Bicheng Yan , Jin Bao , Shuyu Sun , Zhaoli Guo

A upscaled lattice Boltzmann method (LBM) for flow simulations in heterogeneous porous media, at both pore and Darcy scales, is proposed in this paper. In the micro-scale simulations, we model flows using LBM with the modified Guo et al.…

计算物理 · 物理学 2013-12-03 Jun Li , Donald Brown

The cascaded or central-moments-based lattice Boltzmann method (CM-LBM) is a robust alternative to the more conventional BGK-LBM for the simulation of high-Reynolds number flows. Unfortunately, its original formulation makes its extension…

计算物理 · 物理学 2020-05-06 Alessandro De Rosis , Rongzong Huang , Christophe Coreixas

The lattice Boltzmann equation describes the evolution of the velocity distribution function on a lattice in a manner that macroscopic fluid dynamical behavior is recovered. Although the equation is a derivative of lattice gas automata, it…

comp-gas · 物理学 2008-02-03 James D. Sterling , Shiyi Chen

We propose an innovative difference-free scheme that combines the one-fluid lattice Boltzmann method (lBM) with the conservative phase-field (CPF) lBM to effectively solve large-scale two-phase fluid flow problems. The difference-free…

流体动力学 · 物理学 2024-07-18 Chunheng Zhao , Saumil Patel , Taehun Lee

This work presents the Lagrangian entropic lattice Boltzmann method (LELBM), a novel framework for supersonic lattice Boltzmann method that surpasses traditional restrictions on velocity, temperature, viscosity, and memory, resulting in…

流体动力学 · 物理学 2025-08-12 Woohyuk Noh , Changhoon Lee

In the paper we extend the Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) model proposed in [Europhys. Lett. \textbf{90}, 54003 (2010)] so that it is suitable also for incompressible flows. To decrease the artificial oscillations,…

软凝聚态物质 · 物理学 2013-05-22 Feng Chen , Aiguo Xu , Guangcai Zhang , Yonglong Wang

We present a new statistical learning paradigm for Boltzmann machines based on a new inference principle we have proposed: the latent maximum entropy principle (LME). LME is different both from Jaynes maximum entropy principle and from…

机器学习 · 计算机科学 2012-12-12 Shaojun Wang , Dale Schuurmans , Fuchun Peng , Yunxin Zhao

Modeling the transport of deformable capsules under different flow regimens is crucial in a variety of fields, including oil rheology, blood flow and the dispersion of pollutants. The aim of this study is twofold. Firstly, a combined…

流体动力学 · 物理学 2019-03-11 A. Coclite , S. Ranaldo , M. D. De Tullio , P. Decuzzi , G. Pascazio

A new lattice Boltzmann model (LBM) for chemically reactive mixtures is presented. The approach capitalizes on the recently introduced thermodynamically consistent LBM for multicomponent mixtures of ideal gases. Similar to the non-reactive…

流体动力学 · 物理学 2021-10-04 N. Sawant , B. Dorschner , I. V. Karlin

This paper presents the shape optimization of a flat-type arborescent fluid distributor for the purpose of process intensification. A shape optimization algorithm based on the lattice Boltzmann method (LBM) is proposed with the objective of…

流体动力学 · 物理学 2014-06-20 Limin Wang , Yilin Fan , Lingai Luo

We present the first top-down ansatz for constructing lattice Boltzmann methods (LBM) in d dimensions. In particular, we construct a relaxation system (RS) for a given scalar, linear, d-dimensional advection-diffusion equation.…

数值分析 · 数学 2022-09-14 Stephan Simonis , Martin Frank , Mathias J. Krause

A constraint penalization method is introduced within the Lattice Boltzmann (LBM) framework to model fluid-structure interactions involving rigid bodies. The proposed approach extends the fictitious domain concept by enforcing the…

流体动力学 · 物理学 2025-11-04 Tristan Millet , Erwan Liberge

A subgrid turbulence model for the lattice Boltzmann method is proposed for high Reynolds number fluid flow applications. The method, based on the standard Smagorinsky subgrid model and a single-time relaxation lattice Boltzmann method,…

comp-gas · 物理学 2008-02-03 S. Hou , J. Sterling , S. Chen , G. D. Doolen

The lattice Boltzmann method (LBM) is a popular numerical framework to investigate single and multiphase flow though porous media. For estimation of absolute permeability based on micro-tomographic images of the porous medium, the…

计算物理 · 物理学 2019-03-01 Parthib Rao , Laura Schaefer

Cascaded or central-moment-based lattice Boltzmann method (CLBM) proposed in [Geier \textit{et al.}, Phys. Rev. E \textbf{63}, 066705 (2006)] possesses very good numerical stability. However, two constraints exist in three-dimensional (3D)…

计算物理 · 物理学 2018-05-30 Linlin Fei , Kai Hong Luo , Qing Li

The LBM is combined with the Volume Penalization (VP LBM) approach to simulate flows in the presence of obstacles. The single relaxation time LBM and the multiple relaxation time LBM are used. For cases where the fluid motion is enhanced by…

流体动力学 · 物理学 2018-12-14 M. Benamour , E. Liberge , C. Béghein

Saturated vapor condensation on the homogeneous and heterogeneous sub-cooled wall under gravity was numerically simulated by the improved pseudo-potential phase-change multiple-relaxation-time lattice Boltzmann (LB) method. Firstly, the…

流体动力学 · 物理学 2018-08-16 Wandong Zhao , Ying Zhang , Ben Xu , Wenqiang Shang , Shuisheng Jiang