Fully dissipative relativistic lattice Boltzmann method in two dimensions

In this work, we propose a phase-field-based lattice Boltzmann method to simulate moving contact line (MCL) problems on curved boundaries. The key point of this method is to implement the boundary conditions on curved solid boundaries. Specifically, we use our recently proposed single-node scheme for the no-slip boundary condition and a new scheme is constructed to deal with the wetting boundary conditions (WBCs). In particular, three kinds of WBCs are implemented: two wetting conditions derived from the wall free energy and a characteristic MCL model based on geometry considerations. The method is validated with several MCL problems and numerical results show that the proposed method has utility for all the three WBCs on both straight and curved boundaries.

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Feasibility Study on the Gas-Liquid Multiphase by Lattice-Boltzmann Method in Two-Dimensions

Journal of the Korean Society for Marine Environment & Energy ◽

10.7846/jkosmee.2016.19.2.111 ◽

2016 ◽

Vol 19 (2) ◽

pp. 111-119

Author(s):

Rho-Taek Jung

Keyword(s):

Lattice Boltzmann Method ◽

Feasibility Study ◽

Lattice Boltzmann ◽

Two Dimensions ◽

Boltzmann Method

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Finite Volume Lattice Boltzmann Method for Nearly Incompressible Flows on Arbitrary Unstructured Meshes

Communications in Computational Physics ◽

10.4208/cicp.211015.040316a ◽

2016 ◽

Vol 20 (2) ◽

pp. 301-324 ◽

Cited By ~ 14

Author(s):

Weidong Li ◽

Li-Shi Luo

Keyword(s):

Lattice Boltzmann Method ◽

Finite Volume ◽

Lattice Boltzmann ◽

Incompressible Flows ◽

Unstructured Meshes ◽

Two Dimensions ◽

Collision Term ◽

Efficient Treatment ◽

Advection Term ◽

Boltzmann Method

AbstractA genuine finite volume method based on the lattice Boltzmann equation (LBE) for nearly incompressible flows is developed. The proposed finite volume lattice Boltzmann method (FV-LBM) is grid-transparent, i.e., it requires no knowledge of cell topology, thus it can be implemented on arbitrary unstructured meshes for effective and efficient treatment of complex geometries. Due to the linear advection term in the LBE, it is easy to construct multi-dimensional schemes. In addition, inviscid and viscous fluxes are computed in one step in the LBE, as opposed to in two separate steps for the traditional finite-volume discretization of the Navier-Stokes equations. Because of its conservation constraints, the collision term of the kinetic equation can be treated implicitly without linearization or any other approximation, thus the computational efficiency is enhanced. The collision with multiple-relaxation-time (MRT) model is used in the LBE. The developed FV-LBM is of second-order convergence. The proposed FV-LBM is validated with three test cases in two-dimensions: (a) the Poiseuille flow driven by a constant body force; (b) the Blasius boundary layer; and (c) the steady flow past a cylinder at the Reynolds numbers Re=10, 20, and 40. The results verify the designed accuracy and efficacy of the proposed FV-LBM.

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Validation of an Adaptive Meshing Implementation of the Lattice-Boltzmann Method for Insect Flight

Volume 1A, Symposia: Turbomachinery Flow Simulation and Optimization; Applications in CFD; Bio-Inspired and Bio-Medical Fluid Mechanics; CFD Verification and Validation; Development and Applications of Immersed Boundary Methods; DNS, LES and Hybrid RANS/LES Methods; Fluid Machinery; Fluid-Structure Interaction and Flow-Induced Noise in Industrial Applications; Flow Applications in Aerospace; Active Fluid Dynamics and Flow Control — Theory, Experiments and Implementation ◽

10.1115/fedsm2016-7782 ◽

2016 ◽

Author(s):

Jeffrey Feaster ◽

Francine Battaglia ◽

Ralf Deiterding ◽

Javid Bayandor

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Degrees Of Freedom ◽

Insect Flight ◽

Three Dimensional ◽

Two Dimensions ◽

Adaptive Meshing ◽

Complex Flow ◽

Fluid Field ◽

Boltzmann Method

Insects, sustaining flight at low Reynolds numbers (500<Re<10,000), fly utilizing mechanically simple kinematics (3 degrees of freedom) at an extremely high flap frequency (150–200 Hz), resulting in a complicated vortical fluid field. These flight characteristics result in some of the most agile and maneuverable flight capabilities in the animal kingdom and are considered to be far superior to fixed wing flight, such as aircraft. Bees are of particular interest because of the utilization of humuli to attach their front and hind wings together during flight. A Cartesian-based adaptive meshing implementation of the Lattice-Boltzmann Method is utilized to resolve the complex flow field generated during insect flight and is verified against experimental and computational results present in the literature in two dimensions. The Lattice-Boltzmann Method was found to agree well in both qualitative and quantitative comparisons with both two-dimensional computational and three-dimensional experimental results.

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Application of the Lattice-Boltzmann Method to Sub-Continuum Heat Conduction

Heat Transfer, Volume 7 ◽

10.1115/imece2002-32122 ◽

2002 ◽

Cited By ~ 12

Author(s):

Wei Zhang ◽

T. S. Fisher

Keyword(s):

Heat Conduction ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Close Agreement ◽

Computational Effort ◽

Two Dimensions ◽

Analysis Tool ◽

Two Dimensional ◽

One Dimensional ◽

Boltzmann Method

The Lattice Boltzmann Method (LBM) is introduced in this paper as a method to simulate heat conduction across broad length scales in which continuum and sub-continuum effects exist. The paper describes the implementation of the method in both one and two dimensions. Results are presented for cases involving problems with existing solutions and show close agreement with both continuum and subcontinuum solutions of one-dimensional heat transfer through thin films. Results for a two-dimensional continuum problem agree with a known solution to within one percent. These results, combined with relative small computational effort, indicate that the LBM is a useful analysis tool for simulation of multiscale heat conduction.

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