Effect of compressibility on small scale statistics in homogeneous shear turbulence

Chen, Song1,2; Wang, Jianchun1; Li, Hui2; Wan, Minping1; Chen, Shiyi1,3

2019-02

10.1063/1.5077081

PHYSICS OF FLUIDS   影响因子和分区

1070-6631

1089-7666

The effect of compressibility on the small scale properties of stationary homogeneous shear turbulence (HST) is studied in a rectangular domain of size 4 pi x 2 pi x 2 pi by numerical simulations at four turbulent Mach numbers of M-t = 0.14, 0.2, 0.4, and 0.6. Compared to the compressible homogeneous isotropic turbulence (HIT), the small scale properties of HST are more sensitive to Mach number change and the velocity derivatives show a clear deviation from isotropy. At Mt = 0.14, the preferred eigenvalue ratio of the strain rate tensor is very close to -4:1:3 reported in incompressible turbulence. As Mt increases, the conditional probability density functions of the normalized eigenvalues become more dependent on the dilatation, and its ratio tends to -1:0:0 in the strong compression regions at M-t = 0.6, indicating the sheet-like structures of localized shock waves. The alignments between vorticity and eigenvectors are similar to the observations in HIT. After the Helmholtz decomposition, it is found that the compressible vortex stretching term is the primary cause for the enhancement of enstrophy production at high turbulent Mach numbers. Published under license by AIP Publishing.

SCI ; EI

英语

第一 ; 通讯

Young Elite Scientist Sponsorship Program by CAST[2016QNRC001]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000460093800073

AMER INST PHYSICS

20190706495461

Aerodynamics ; Compressibility ; Eigenvalues and eigenfunctions ; Incompressible flow ; Mach number ; Probability density function ; Shock waves ; Strain rate ; Turbulence

Fluid Flow, General:631.1 ; Aerodynamics, General:651.1 ; Probability Theory:922.1 ; Classical Physics; Quantum Theory; Relativity:931 ; Mechanical Variables Measurements:943.2 ; Materials Science:951

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Guangdong, Peoples R China
2.Wuhan Univ, Sch Power & Mech Engn, Wuhan 430072, Peoples R China
3.Peking Univ, State Key Lab Turbulence & Complex Syst, Coll Engn, Beijing 100871, Peoples R China

Chen, Song,Wang, Jianchun,Li, Hui,et al. Effect of compressibility on small scale statistics in homogeneous shear turbulence[J]. PHYSICS OF FLUIDS,2019,31(2).

Chen, Song,Wang, Jianchun,Li, Hui,Wan, Minping,&Chen, Shiyi.(2019).Effect of compressibility on small scale statistics in homogeneous shear turbulence.PHYSICS OF FLUIDS,31(2).

Chen, Song,et al."Effect of compressibility on small scale statistics in homogeneous shear turbulence".PHYSICS OF FLUIDS 31.2(2019).