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
  • [1] On the lattice Boltzmann method for multiphase flows with large density ratios
    Kim, Seung Hyun
    Pitsch, Heinz
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 303 : 19 - 27
  • [2] On numerical diffusion of simplified lattice Boltzmann method
    Chen, Zhen
    Shu, Chang
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2020, 92 (09) : 1198 - 1211
  • [3] Fluctuating lattice Boltzmann method for the diffusion equation
    Wagner, Alexander J.
    Strand, Kyle
    PHYSICAL REVIEW E, 2016, 94 (03)
  • [4] DIFFUSION AND HYDRODYNAMIC DISPERSION WITH THE LATTICE BOLTZMANN METHOD
    CALI, A
    SUCCI, S
    CANCELLIERE, A
    BENZI, R
    GRAMIGNANI, M
    PHYSICAL REVIEW A, 1992, 45 (08): : 5771 - 5774
  • [5] Cement paste morphologies and effective diffusivity: using the Lattice Boltzmann method
    Walther, E.
    Bogdan, M.
    Bennacer, R.
    De Sa, C.
    EUROPEAN JOURNAL OF ENVIRONMENTAL AND CIVIL ENGINEERING, 2016, 20 (06) : 667 - 679
  • [6] Modeling of ionic diffusivity in non-saturated cement-based materials using lattice Boltzmann method
    Zhang, Mingzhong
    Ye, Guang
    van Breugel, Klaas
    CEMENT AND CONCRETE RESEARCH, 2012, 42 (11) : 1524 - 1533
  • [7] Simplified multiphase lattice Boltzmann method for simulating multiphase flows with large density ratios and complex interfaces
    Chen, Z.
    Shu, C.
    Tan, D.
    Niu, X. D.
    Li, Q. Z.
    PHYSICAL REVIEW E, 2018, 98 (06)
  • [8] Calculation of the effective diffusivity of heterogeneous media using the lattice-Boltzmann method
    AlvarezRamirez, J
    NievesMendoza, S
    GonzalezTrejo, J
    PHYSICAL REVIEW E, 1996, 53 (03) : 2298 - 2303
  • [9] Investigations of the effective mass diffusivity in a multiphase porous medium with a lattice Boltzmann method
    Zhao, K.
    Xuan, Y. M.
    Li, Q.
    6TH INTERNATIONAL SYMPOSIUM ON MULTIPHASE FLOW, HEAT MASS TRANSFER AND ENERGY CONVERSION, 2010, 1207 : 853 - 858
  • [10] Large Eddy Simulations of the Entropic Lattice Boltzmann Method
    Liu, Qiang
    Wang, Yan
    Xie, Wei
    PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON ADVANCED DESIGN AND MANUFACTURING ENGINEERING, 2015, 39 : 514 - 518