Entropy and Galilean invariance of lattice Boltzmann theories

被引:141
作者
Chikatamarla, Shyam S. [1 ]
Karlin, Iliya V. [1 ]
机构
[1] ETH, Aerothermochem & Combust Syst Lab, CH-8092 Zurich, Switzerland
关键词
D O I
10.1103/PhysRevLett.97.190601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A theory of lattice Boltzmann (LB) models for hydrodynamic simulation is developed upon a novel relation between entropy construction and roots of Hermite polynomials. A systematic procedure is described for constructing numerically stable and complete Galilean invariant LB models. The stability of the new LB models is illustrated with a shock tube simulation.
引用
收藏
页数:4
相关论文
共 14 条
  • [1] Consistent lattice Boltzmann method
    Ansumali, S
    Karlin, IV
    [J]. PHYSICAL REVIEW LETTERS, 2005, 95 (26)
  • [2] Minimal entropic kinetic models for hydrodynamics
    Ansumali, S
    Karlin, IV
    Öttinger, HC
    [J]. EUROPHYSICS LETTERS, 2003, 63 (06): : 798 - 804
  • [3] General characteristic-based algorithm for off-lattice Boltzmann simulations
    Bardow, A.
    Karlin, I. V.
    Gusev, A. A.
    [J]. EUROPHYSICS LETTERS, 2006, 75 (03): : 434 - 440
  • [4] Entropic lattice Boltzmann methods
    Boghosian, BM
    Yepez, J
    Coveney, PV
    Wager, A
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2007): : 717 - 766
  • [5] Entropic lattice Boltzmann models for hydrodynamics in three dimensions
    Chikatamarla, S. S.
    Ansumali, S.
    Karlin, I. V.
    [J]. PHYSICAL REVIEW LETTERS, 2006, 97 (01)
  • [6] On the cubic velocity deviations in lattice Boltzmann methods
    Házi, G
    Kávrán, P
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (12): : 3127 - 3136
  • [7] A priori derivation of the lattice Boltzmann equation
    He, XY
    Luo, LS
    [J]. PHYSICAL REVIEW E, 1997, 55 (06) : R6333 - R6336
  • [8] Perfect entropy functions of the Lattice Boltzmann method
    Karlin, IV
    Ferrante, A
    Öttinger, HC
    [J]. EUROPHYSICS LETTERS, 1999, 47 (02): : 182 - 188
  • [9] LATTICE BGK MODELS FOR NAVIER-STOKES EQUATION
    QIAN, YH
    DHUMIERES, D
    LALLEMAND, P
    [J]. EUROPHYSICS LETTERS, 1992, 17 (6BIS): : 479 - 484
  • [10] LATTICE BGK MODELS FOR THE NAVIER-STOKES EQUATION - NONLINEAR DEVIATION IN COMPRESSIBLE REGIMES
    QIAN, YH
    ORSZAG, SA
    [J]. EUROPHYSICS LETTERS, 1993, 21 (03): : 255 - 259