Consistent two-population lattice Boltzmann model for thermal flows

被引:64
|
作者
Karlin, I. V. [1 ]
Sichau, D. [1 ]
Chikatamarla, S. S. [1 ]
机构
[1] ETH, Aerothermochem & Combust Syst Lab, CH-8092 Zurich, Switzerland
来源
PHYSICAL REVIEW E | 2013年 / 88卷 / 06期
基金
欧洲研究理事会;
关键词
NAVIER-STOKES EQUATION; TURBULENT FLOWS; BGK MODELS; SIMULATIONS; CONVECTION;
D O I
10.1103/PhysRevE.88.063310
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Theory of two-population lattice Boltzmann equations for thermal flow simulations is revisited. The present approach makes use of a consistent division of the conservation laws between the two lattices, where mass and the momentum are conserved quantities on the first lattice, and the energy is conserved quantity of the second lattice. The theory of such a division is developed, and the advantage of energy conservation in the model construction is demonstrated in detail. The present fully local lattice Boltzmann theory is specified on the standard lattices for the simulation of thermal flows. Extension to the subgrid entropic lattice Boltzmann formulation is also given. The theory is validated with a set of standard two-dimensional simulations including planar Couette flow and natural convection in two dimensions.
引用
收藏
页数:13
相关论文
共 50 条
  • [11] A thermal lattice Boltzmann model for micro/nano-flows
    Zhang, Y-H.
    Gu, X-J.
    Barber, R. W.
    Emerson, D. R.
    PROCEEDINGS OF THE MICRO/NANOSCALE HEAT TRANSFER INTERNATIONAL CONFERENCE 2008, PTS A AND B, 2008, : 1275 - 1281
  • [12] A Thermal Lattice Boltzmann Model for Flows with Viscous Heat Dissipation
    Mai, Hao-Chueh
    Lin, Kuen-Hau
    Yang, Cheng-Hsiu
    Lin, Chao-An
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, 61 (01): : 45 - 62
  • [13] LATTICE BOLTZMANN MODEL FOR INCOMPRESSIBLE AXISYMMETRIC THERMAL FLOWS WITH SWIRL
    Mehrez, Insaf
    Gheith, Ramla
    Aloui, Fethi
    Ben Nasrallah, Samia
    PROCEEDINGS OF THE ASME FLUIDS ENGINEERING DIVISION SUMMER MEETING, 2018, VOL 1, 2018,
  • [14] Consistent lattice Boltzmann methods for incompressible axisymmetric flows
    Zhang, Liangqi
    Yang, Shiliang
    Zeng, Zhong
    Yin, Linmao
    Zhao, Ya
    Chew, Jia Wei
    PHYSICAL REVIEW E, 2016, 94 (02)
  • [15] Imitative Behavior in a Two-Population Model
    Accinelli, Elvio
    Brida, Juan Gabriel
    Carrera, Edgar J. Sanchez
    ADVANCES IN DYNAMIC GAMES: THEORY, APPLICATIONS, AND NUMERICAL METHODS FOR DIFFERENTIAL AND STOCHASTIC GAMES: DEDICATED TO THE MEMORY OF ARIK A. MELIKYAN, 2011, 11 : 275 - +
  • [16] Towards a consistent lattice Boltzmann model for two-phase fluids
    Hosseini, S. A.
    Dorschner, B.
    Karlin, I. V.
    JOURNAL OF FLUID MECHANICS, 2022, 953
  • [17] Lattice Boltzmann model for thermal binary-mixture gas flows
    Kang, Jinfen
    Prasianakis, Nikolaos I.
    Mantzaras, John
    PHYSICAL REVIEW E, 2013, 87 (05):
  • [18] Coupling lattice Boltzmann model for simulation of thermal flows on standard lattices
    Li, Q.
    Luo, K. H.
    He, Y. L.
    Gao, Y. J.
    Tao, W. Q.
    PHYSICAL REVIEW E, 2012, 85 (01):
  • [19] Filter-matrix lattice Boltzmann model for incompressible thermal flows
    Zhuo, Congshan
    Zhong, Chengwen
    Cao, Jun
    PHYSICAL REVIEW E, 2012, 85 (04):
  • [20] Thermal Lattice Boltzmann Model for Incompressible Flows through Porous Media
    Seta, Takeshi
    Takegoshi, Eishun
    Kitano, Kazuyuki
    Okui, Kenichi
    JOURNAL OF THERMAL SCIENCE AND TECHNOLOGY, 2006, 1 (02): : 90 - 100