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A velocity boundary condition for the Lattice Boltzmann simulation technique has been proposed recently by Hecht and Harting[arxiv:0811.4593]. This boundary condition is independent of the relaxation process during collision and contains no…

软凝聚态物质 · 物理学 2009-10-06 Nayaz Khalid Ahmed , Martin Hecht

This paper presents a spatially and temporally adaptive boundary condition to specify the volumetric flux for lattice Boltzmann methods. The approach differs from standard velocity boundary conditions because it allows the velocity to vary…

计算物理 · 物理学 2018-06-28 James E. McClure , Zhe Li , Adrian P. Sheppard , Cass T. Miller

In this paper we analyze the boundary treatment of the lattice Boltzmann method (LBM) for simulating 3D flows with free surfaces. The widely used free surface boundary condition of K\"orner et al. (2005) is shown to be first order accurate.…

数值分析 · 数学 2015-09-29 Simon Bogner , Regina Ammer , Ulrich Rüde

A general derivation is proposed for several boundary conditions arisen in the lattice Boltzmann simulations of various physical problems. Pair-wise moment conservations are proposed to enforce the boundary conditions with given macroscopic…

计算物理 · 物理学 2025-10-16 Jun Li , Wai Hong Ronald Chan , Zhe Feng , Chenglei Wang

The implementation of boundary conditions is among the most challenging parts of modeling fluid flow through channels and complex media. Here, we show that the existing methods to deal with liquid-wall interactions using multicomponent…

We propose a new way to implement Dirichlet boundary conditions for complex shapes using data from a single node only, in the context of the lattice Boltzmann method. The resulting novel method exhibits second-order convergence for the…

计算物理 · 物理学 2021-05-26 Francesco Marson , Yann Thorimbert , Jonas Latt , Bastien Chopard

The lattice Boltzmann method (LBM) has shown its promising capability in simulating microscale gas flows. However, the suitable boundary condition is still one of the critical issues for the LBM to model microgaseous flows involving curved…

计算物理 · 物理学 2021-01-01 Liang Wang , Shi Tao , Junjie Hu , Kai Zhang , Gui Lu

A non-slip boundary condition at a wall for the lattice Boltzmann method is presented. In the present method unknown distribution functions at the wall are assumed to be an equilibrium distribution function with a counter slip velocity…

comp-gas · 物理学 2009-10-28 Takaji Inamuro , Masato Yoshino , Fumimaru Ogino

In this contribution we review recent efforts on investigations of the effect of (apparent) boundary slip by utilizing lattice Boltzmann simulations. We demonstrate the applicability of the method to treat fundamental questions in…

流体动力学 · 物理学 2009-10-20 Jens Harting , Christian Kunert , Jari Hyväluoma

In this study, we propose an alternative way to simulate particle suspensions using the lattice Boltzmann method. The main idea is to impose the non-slip boundary condition in the lattice sites located on the particle boundaries. The focus…

计算物理 · 物理学 2011-05-17 Luís Orlando Emerich dos Santos , Paulo Cesar Philippi

The accuracy of the free-surface lattice Boltzmann method (FSLBM) depends significantly on the boundary condition employed at the free interface. Ideally, the chosen boundary condition balances the forces exerted by the liquid and gas…

流体动力学 · 物理学 2023-01-24 Christoph Schwarzmeier , Ulrich Rüde

In this work, we show that the widely used bounce-back boundary condition is an incomplete form of the diffuse reflection boundary condition at the continuum limit for lattice Boltzmann simulations. By utilizing this fact, we can force the…

流体动力学 · 物理学 2018-08-31 Jianping Meng , Xiao-Jun Gu , David R Emerson , Yong Peng , Jianmin Zhang

We examine the applicability of diffusive lattice Boltzmann methods to simulate the fluid transport through barrier coatings, finding excellent agreement between simulations and analytical predictions for standard parameter choices. To…

计算物理 · 物理学 2017-06-28 Kyle T. Strand , Aaron J. Feickert , Alexander J. Wagner

Pressure (density) and velocity boundary conditions inside a flow domain are studied for 2-D and 3-D lattice Boltzmann BGK models (LBGK) and new method to specify these conditions are proposed. These conditions are consistent with the…

comp-gas · 物理学 2008-02-03 Qisu Zou , Xiaoyi He

Recently, Murthy et al. [2017] and Escande et al. [2020] adopted the Lattice Boltzmann Method (LBM) to model the linear elastodynamic behaviour of isotropic solids. The LBM is attractive as an elastodynamic solver because it can be…

计算工程、金融与科学 · 计算机科学 2024-08-20 Erik Faust , Alexander Schlüter , Henning Müller , Ralf Müller

In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underlying spatial grid, thus allowing for more efficient geometric representations of complex…

流体动力学 · 物理学 2016-08-08 Rastin Matin , Marek Krzysztof Misztal , Anier Hernandez-Garcia , Joachim Mathiesen

A lattice Boltzmann scheme able to model the hydrodynamics of phase separation and two-phase flow is described. Thermodynamic consistency is ensured by introducing a non-ideal pressure tensor directly into the collision operator. We also…

comp-gas · 物理学 2009-10-28 Michael R. Swift , W. R. Osborn , J. M. Yeomans

In this work we investigate the issue of non-physical slip at wall of lattice Boltzmann simulations with the bounce-back boundary scheme. By comparing the analytical solution of two lattice models with four and nine discrete velocities for…

流体动力学 · 物理学 2015-08-11 Jianping Meng , Xiao-Jun Gu , David R Emerson

We introduce a non-reflecting boundary condition for the simulation of thermal flows with the lattice Boltzmann Method (LBM). We base the derivation on the locally one-dimensional inviscid analysis, and define target macroscopic values at…

计算物理 · 物理学 2024-01-24 Friedemann Klass , Alessandro Gabbana , Andreas Bartel

In this paper, a boundary scheme is proposed for the two-dimensional five-velocity (D2Q5) lattice Boltzmann method with heterogeneous surface reaction, in which the unknown distribution function is determined locally based on the kinetic…

计算物理 · 物理学 2019-04-04 Long Jv , Chunhua Zhang , Zhaoli Guo
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