On the long time behavior of time relaxation model of fluids

被引：5
|
作者：
Pakzad, Ali [1 ]
机构：
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2020年 / 408卷 / 408期
关键词：
Energy Dissipation Rate; Time Relaxation Model; Turbulence; Energy Cascade; Kolmogorov's Conventional Turbulence; Theory; APPROXIMATE DECONVOLUTION MODEL; HELICITY DISSIPATION RATES; ENERGY-DISSIPATION; NUMERICAL-ANALYSIS; BOUNDARY-LAYER; FLOWS;
D O I：
10.1016/j.physd.2020.132509
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The rate of energy dissipation of the time relaxation model in body-force-driven turbulence is analyzed to evaluate the effect of a time relaxation term on a simulation of 3d fluid motion. The result, which agrees with Kolmogorov's conventional turbulence theory, is also consistent with the rate proven for the Navier-Stokes equations. The analysis provides a range of possible values for a key model parameter. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数：6
相关论文
共 50 条
  • [21] Long time behavior for a dissipative shallow water model
    Sciacca, V.
    Schonbek, M. E.
    Sammartino, M.
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2017, 34 (03): : 731 - 757
  • [22] Long-time behavior of a stochastic SIR model
    Lin, Yuguo
    Jiang, Daqing
    Xia, Peiyan
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 236 : 1 - 9
  • [23] On the Relaxation Time Scales of the Classical Thermodynamic Model for Heat Transfer in Quiescent Compressible Fluids
    Alves, Leonardo S. de B.
    JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2016, 138 (10):
  • [24] On Maxwell fluids with relaxation time and viscosity depending on the pressure
    Karra, Satish
    Prusa, Vit
    Rajagopal, K. R.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2011, 46 (06) : 819 - 827
  • [25] A unified model of hysteresis and long-time relaxation in heterogeneous materials
    Lebedev, A. V.
    Ostrovsky, L. A.
    ACOUSTICAL PHYSICS, 2014, 60 (05) : 555 - 561
  • [26] A unified model of hysteresis and long-time relaxation in heterogeneous materials
    A. V. Lebedev
    L. A. Ostrovsky
    Acoustical Physics, 2014, 60 : 555 - 561
  • [27] Long - Time relaxation in liquid eutectics
    Son, L.
    Vasin, M.
    Sidorov, V
    Rusakov, G.
    JOURNAL OF ALLOYS AND COMPOUNDS, 2019, 785 : 1279 - 1283
  • [28] Long – Time relaxation in liquid eutectics
    Son, L.
    Vasin, M.
    Sidorov, V.
    Rusakov, G.
    Journal of Alloys and Compounds, 2020, 785 : 1279 - 1283
  • [29] Weakly nonlinear long-time behavior of solutions to a hyperbolic relaxation systems
    Orive, R
    EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS, 2005, : 666 - 671
  • [30] ON LONG TIME BEHAVIOR OF MOORE-GIBSON-THOMPSON EQUATION WITH MOLECULAR RELAXATION
    Caixeta, Arthur Henrique
    Lasiecka, Irena
    Domingos Cavalcanti, Valeria Neves
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2016, 5 (04): : 661 - 676
12345