Towards a self-consistent Boltzmann's kinetic model of fluid turbulence

被引：2
|
作者：
Succi, Sauro [1 ,2 ]
机构：
[1] Italian Inst Technol, Ctr Life Nanosci La Sapienza, Rome, Italy
[2] Harvard Univ, SEAS, Inst Appl Computat Sci, Cambridge, MA 02138 USA
来源：
JOURNAL OF TURBULENCE | 2020年 / 21卷 / 07期
基金：
欧洲研究理事会;
关键词：
Kinetic theory of turbulence; EQUATION;
D O I：
10.1080/14685248.2020.1797060
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A closure for the effective relaxation time of the Boltzmann-BGK kinetic equation for fluid turbulence is presented, based on a double-averaging procedure over both kinetic and turbulent fluctuations. The resulting effective relaxation time appears to agree with values obtained via a renormalisation group treatment of the Navier-Stokes equation only at low values of k/T, the ratio of turbulent kinetic energy to fluid temperature. For k/T > 0.1, the kinetic treatment delivers a significantly longer effective relaxation time.
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页码：375 / 385
页数：11
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