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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…

计算物理 · 物理学 2018-11-06 Badr Kaoui

The lattice Boltzmann method (LBM) has experienced tremendous advances and been well accepted as a popular method of simulation of various fluid flow mechanisms on pore scale in tight formations. With the introduction of an effective…

流体动力学 · 物理学 2016-01-07 Junjian Wang , Li Chen , Qinjun Kang , Sheik S Rahman

A GPU-accelerated version of the lattice Boltzmann method for efficient simulation of soft materials is introduced. Unlike standard approaches, this method reconstructs the distribution functions from available hydrodynamic variables…

We present a novel positive kinetic scheme built on the efficient collide-and-stream algorithm of the lattice Boltzmann method (LBM) to address hyperbolic conservation laws. We focus on the compressible Euler equations with strong…

数值分析 · 数学 2024-11-25 Gauthier Wissocq , Yongle Liu , Rémi Abgrall

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

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 discrete setting. It relies on a Taylor expansion in the limit…

流体动力学 · 物理学 2022-01-05 Gauthier Wissocq , Pierre Sagaut

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…

计算物理 · 物理学 2025-11-14 Marco Lauricella , Andrea Montessori , Adriano Tiribocchi , Sauro Succi

The off-lattice Boltzmann (OLB) method consists of numerical schemes which are used to solve the discrete Boltzmann equation. Unlike the commonly used lattice Boltzmann method, the spatial and time steps are uncoupled in the OLB method. In…

计算物理 · 物理学 2015-05-20 Parthib R. Rao , Laura A. Schaefer

Simulating mobile liquid-gas interfaces with the free-surface lattice Boltzmann method (FSLBM) requires frequent re-initialization of fluid flow information in computational cells that convert from gas to liquid. The corresponding…

流体动力学 · 物理学 2022-11-28 Christoph Schwarzmeier , Ulrich Rüde

In this paper, analytic relations between the macroscopic variables and the mesoscopic variables are derived for lattice Boltzmann methods (LBM). The analytic relations are achieved by two different methods for the exchange from velocity…

流体动力学 · 物理学 2015-03-19 Hui Xu , Huibao Luan , Yaling He , Wenquan Tao

The present work is dedicated to a better understanding of the stability properties of regularized lattice Boltzmann (LB) schemes. To this extent, linear stability analyses of two-dimensional models are proposed: the standard…

计算物理 · 物理学 2020-11-18 Gauthier Wissocq , Christophe Coreixas , Jean-François Boussuge

The Lattice Boltzmann Method algorithm is simplified by assuming constant numerical viscosity (the relaxation time is fixed at $\tau=1$). This leads to the removal of the distribution function from the computer memory. To test the solver…

计算物理 · 物理学 2021-10-06 Maciej Matyka , Michał Dzikowski

We explore a novel simulation route for Plasma Wakefield Acceleration (PWFA) by using the computational method known as the Lattice Boltzmann Method (LBM). LBM is based on a discretization of the continuum kinetic theory while assuring the…

A recently introduced family of lattice Boltzmann (LB) models (Karlin, B\"osch, Chikatamarla, Phys. Rev. E, 2014) is studied in detail for incompressible two-dimensional flows. A framework for developing LB models based on entropy…

流体动力学 · 物理学 2015-07-10 Fabian Bösch , Shyam S. Chikatamarla , Ilya Karlin

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

We propose an enhanced wall-boundary treatment for the lattice Boltzmann method (LBM), designed for high-Reynolds-number turbulent flows on adaptively refined Cartesian grids. The method improves the slip-velocity bounce-back scheme by…

流体动力学 · 物理学 2026-01-27 Jorge Ponsin , Carlos Lozano

The von Neumann stability analysis along with a Chapman-Enskog analysis is proposed for a single-relaxation-time lattice Boltzmann Method (LBM) for wave propagation in isotropic linear elastic solids, using a regular D2Q9 lattice. Different…

计算工程、金融与科学 · 计算机科学 2020-09-15 Maxime Escande , Praveen Kumar Kolluru , Louis Marie Cléon , Pierre Sagaut

Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform…

数值分析 · 数学 2025-06-10 Ji-Wang Luo , Li Chen , Kentaro Yaji , Wen-Quan Tao

The lattice Boltzmann (LB) method has gained much success in a variety of fields involving fluid flow and/or heat transfer. In this method, the bounce-back scheme is a popular boundary scheme for treating nonslip boundaries. However, this…

计算物理 · 物理学 2020-07-01 Y. Yu , Q. Li , Z. X. Wen

Recently, we notice that a pressure-based lattice Boltzmann (LB) method was established to recover the volume-averaged Navier-Stokes equations (VANSE), which serve as the cornerstone of various fluid-solid multiphase models. It decouples…

流体动力学 · 物理学 2026-03-11 Yang Liu , Xuan Zhang , Jingchun Min , Xiaomin Wu