LATTICE BOLTZMANN METHOD AND DIFFUSION IN MATERIALS WITH LARGE DIFFUSIVITY RATIOS

被引：8
|
作者：
Walther, Edouard [1 ]
Bennacer, Rachid [1 ]
De Sa, Caroline [1 ]
机构：
[1] Univ Paris Saclay, ENS Cachan, LMT, Paris, France
来源：
THERMAL SCIENCE | 2017年 / 21卷 / 03期
关键词：
lattice Boltzmann; diffusion; diffusivity ratio; oscillations; D(2)Q(5); D(2)Q(9); EQUATION;
D O I：
10.2298/TSCI141027206W
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
This work is centered on the safe usage of the lattice Boltzmann method for 2-D pure diffusion. The basics of the method for pure diffusion are first elucidated using a new definition given in the paper The oscillating behavior and safe conditions of use are then explored in the case of homogeneous material as well as heterogeneous materials with circular and plane interfaces. As a conclusion, the range of valid relaxation factors is given for a correct use of lattice Boltzmann method.
引用
收藏
页码：1173 / 1182
页数：10
相关论文
共 50 条
  • [31] Advection-Diffusion Lattice Boltzmann Method With and Without Dynamical Filter
    Zhang, Zhihong
    Li, Zhiqiang
    Wu, Yunke
    FRONTIERS IN PHYSICS, 2022, 10
  • [32] Improved Lattice Boltzmann Method for Efficient Concentration-Diffusion Simulations
    Lee, Hoyoung
    Jeong, Peter Inuk
    TRANSACTIONS OF THE KOREAN SOCIETY OF MECHANICAL ENGINEERS B, 2024, 48 (10) : 637 - 644
  • [33] Boundary conditions of the lattice Boltzmann method for convection-diffusion equations
    Huang, Juntao
    Yong, Wen-An
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 300 : 70 - 91
  • [34] Lattice Boltzmann method for diffusion-limited partial dissolution of fluids
    Aursjo, Olav
    Pride, Steven R.
    PHYSICAL REVIEW E, 2015, 92 (01):
  • [35] Lattice Boltzmann method for heat diffusion in axis-symmetric geometries
    Mohamad, A. A.
    PROGRESS IN COMPUTATIONAL FLUID DYNAMICS, 2009, 9 (08): : 490 - 494
  • [36] From Lattice Boltzmann Method to Lattice Boltzmann Flux Solver
    Wang, Yan
    Yang, Liming
    Shu, Chang
    ENTROPY, 2015, 17 (11): : 7713 - 7735
  • [37] Modeling of Ionic Diffusivity for Cement Paste with Solid Mass Fractal Model and Lattice Boltzmann Method
    Gao, Yun
    Jiang, Jinyang
    Wu, Kai
    JOURNAL OF MATERIALS IN CIVIL ENGINEERING, 2017, 29 (05)
  • [38] Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
    He, XY
    Luo, LS
    PHYSICAL REVIEW E, 1997, 56 (06): : 6811 - 6817
  • [39] Estimation of thermal and mass diffusivity in a porous medium of complex structure using a lattice Boltzmann method
    Jeong, Namgyun
    Choi, Do Hyung
    Lin, Ching-Long
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2008, 51 (15-16) : 3913 - 3923
  • [40] A LATTICE BOLTZMANN-EQUATION FOR DIFFUSION
    WOLFGLADROW, D
    JOURNAL OF STATISTICAL PHYSICS, 1995, 79 (5-6) : 1023 - 1032
12345