Two-fluid model of the truncated Euler equations

被引：22
|
作者：
Krstulovic, Giorgio [1 ]
Brachet, Marc-Etienne
机构：
[1] Ecole Normale Super, Phys Stat Lab, CNRS, F-75231 Paris, France
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2008年 / 237卷 / 14-17期
关键词：
truncated Euler equations; absolute equilibrium; EDQNM;
D O I：
10.1016/j.physd.2007.11.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A phenomenological two-fluid model of the (time-reversible) spectrally-truncated 3D Euler equation is proposed. The thermalized small scales are first shown to be quasi-normal. The effective viscosity and thermal diffusion are then determined, using EDQNM Closure and Monte-Carlo numerical computations. Finally, the model is validated by comparing its dynamics with that of the original truncated Euler equation. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2015 / 2019
页数：5
相关论文
共 50 条
  • [1] Blow-up criteria for a two-fluid model of the truncated Euler equations
    Yonglin Xu
    Haizhou Mao
    Xiaohong Fan
    Liqiang Ma
    Journal of Inequalities and Applications, 2013
  • [2] Blow-up criteria for a two-fluid model of the truncated Euler equations
    Xu, Yonglin
    Mao, Haizhou
    Fan, Xiaohong
    Ma, Liqiang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [3] From two-fluid Euler-Poisson equations to one-fluid Euler equations
    Li, Yachun
    Peng, Yue-Jun
    Wang, Ya-Guang
    ASYMPTOTIC ANALYSIS, 2013, 85 (3-4) : 125 - 148
  • [4] Convergence of the Euler-Maxwell two-fluid system to compressible Euler equations
    Yang, Jianwei
    Wang, Shu
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 417 (02) : 889 - 903
  • [5] A study of two-fluid model equations
    Ueyama, K.
    JOURNAL OF FLUID MECHANICS, 2012, 690 : 474 - 498
  • [6] The Relaxation Limits of the Two-Fluid Compressible Euler-Maxwell Equations
    Wang Shu
    Zheng Lin
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2018, 31 (01): : 17 - 28
  • [7] Equations of Two-Fluid Hydrodynamics in the Hubbard Model
    Zaitsev, R. O.
    JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2010, 110 (04) : 594 - 603
  • [8] Equations of two-fluid hydrodynamics in the Hubbard model
    R. O. Zaĭtsev
    Journal of Experimental and Theoretical Physics, 2010, 110 : 594 - 603
  • [9] Large time existence of Euler-Korteweg equations and two-fluid Euler-Maxwell equations with vorticity
    Sun, Changzhen
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 207
  • [10] Self-intersecting Interfaces for Stationary Solutions of the Two-Fluid Euler Equations
    Diego Córdoba
    Alberto Enciso
    Nastasia Grubic
    Annals of PDE, 2021, 7
12345