Nonexistence of H Theorem for Some Lattice Boltzmann Models

被引：2
|
作者：
Wen-an Yong
Li-Shi Luo
机构：
[1] Universität Heidelberg,IWR
[2] Old Dominion University,Department of Mathematics and Statistics
来源：
Journal of Statistical Physics | 2005年 / 121卷
关键词：
Lattice Boltzmann equation; -theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we provide a set of sufficient conditions under which a lattice Boltzmann model does not admit an H theorem. By verifying the conditions, we prove that a number of existing lattice Boltzmann models does not admit an H theorem. These models include D2Q6, D2Q9 and D3Q15 athermal models, and D2Q16 and D3Q40 thermal (energy-conserving) models. The proof does not require the equilibria to be polynomials.
引用
收藏
页码：91 / 103
页数：12
相关论文
共 50 条
  • [31] THE H-THEOREM FOR BOLTZMANN TYPE EQUATIONS
    VOIGT, J
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1981, 326 : 198 - 213
  • [32] THE STATISTICAL ASPECT OF BOLTZMANN H-THEOREM
    TERHAAR, D
    GREEN, CD
    PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION A, 1953, 66 (398): : 153 - 159
  • [33] BOLTZMANN H-THEOREM FOR IMPERFECT GAS
    KLIMONTOVICH, YL
    ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 1972, 63 (01): : 150 - +
  • [34] Crooks' fluctuation theorem for the fluctuating lattice-Boltzmann model
    Granger, L.
    Niemann, M.
    Kantz, H.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
  • [35] BOLTZMANN H-THEOREM FOR GASES IN THERMOSTAT
    MOSKALEV, OB
    DOKLADY AKADEMII NAUK SSSR, 1977, 232 (03): : 521 - 523
  • [36] Lattice-Boltzmann Models for Heat Transfer
    Chenghai SUN
    Communications in Nonlinear Science & Numerical Simulation, 1997, (04) : 212 - 216
  • [37] Lattice Boltzmann models for nonequilibrium gas flows
    Tang, Gui-Hua
    Zhang, Yong-Hao
    Emerson, David R.
    PHYSICAL REVIEW E, 2008, 77 (04):
  • [38] Lattice Boltzmann method for microfluidics: models and applications
    Junfeng Zhang
    Microfluidics and Nanofluidics, 2011, 10 : 1 - 28
  • [39] Improved Lattice Boltzmann Models for Precipitation and Dissolution
    Pedersen, J.
    Jettestuen, E.
    Vinningland, J. L.
    Hiorth, A.
    TRANSPORT IN POROUS MEDIA, 2014, 104 (03) : 593 - 605
  • [40] Lifting in hybrid lattice Boltzmann and PDE models
    Vanderhoydonc, Y.
    Vanroose, W.
    COMPUTING AND VISUALIZATION IN SCIENCE, 2011, 14 (02) : 67 - 78
12345