Volume 11, Issue 3
Anisotropy of the Spectral Structures in Compressible Homogeneous Turbulent Shear Flow

Zongqiang Ma, Lili Wang & Zuoli Xiao

Adv. Appl. Math. Mech., 11 (2019), pp. 723-736.

Published online: 2019-01

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  • Abstract

The energy spectrum and energy transfer in compressible homogeneous turbulent shear flow are numerically investigated via high-accuracy direct numerical simulation. The Helmholtz decomposition method is employed to decompose the velocity field into a solenoidal component and a compressive one. It is found that the spectra of different velocity modes are strongly anisotropic over all the resolved scales and the specific properties of small-scale anisotropy are significantly influenced by the flow compressibility. The anisotropy of energy transfer process comes from an additional kinetic energy production term which acts as a dominant source at relatively large scales in the streamwise direction. After the redistribution of turbulent kinetic energy caused by the pressure-dilatation correlation in different directions, the energy fluxes due to advection are also expected to be anisotropic. The streamwise energy flux is predominantly large and passes down the kinetic energy to smaller scales, whereas the cross-streamwise and spanwise energy fluxes are less significant and pronounce an inverse energy transfer at relatively large scales.

  • Keywords

Turbulent shear flow, compressibility, spectrum, energy transfer, anisotropy.

  • AMS Subject Headings

76F05, 76F65

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-11-723, author = {Ma , Zongqiang and Wang , Lili and Xiao , Zuoli}, title = {Anisotropy of the Spectral Structures in Compressible Homogeneous Turbulent Shear Flow}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {3}, pages = {723--736}, abstract = {

The energy spectrum and energy transfer in compressible homogeneous turbulent shear flow are numerically investigated via high-accuracy direct numerical simulation. The Helmholtz decomposition method is employed to decompose the velocity field into a solenoidal component and a compressive one. It is found that the spectra of different velocity modes are strongly anisotropic over all the resolved scales and the specific properties of small-scale anisotropy are significantly influenced by the flow compressibility. The anisotropy of energy transfer process comes from an additional kinetic energy production term which acts as a dominant source at relatively large scales in the streamwise direction. After the redistribution of turbulent kinetic energy caused by the pressure-dilatation correlation in different directions, the energy fluxes due to advection are also expected to be anisotropic. The streamwise energy flux is predominantly large and passes down the kinetic energy to smaller scales, whereas the cross-streamwise and spanwise energy fluxes are less significant and pronounce an inverse energy transfer at relatively large scales.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2018.s15}, url = {http://global-sci.org/intro/article_detail/aamm/12994.html} }
TY - JOUR T1 - Anisotropy of the Spectral Structures in Compressible Homogeneous Turbulent Shear Flow AU - Ma , Zongqiang AU - Wang , Lili AU - Xiao , Zuoli JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 723 EP - 736 PY - 2019 DA - 2019/01 SN - 11 DO - http://doi.org/10.4208/aamm.2018.s15 UR - https://global-sci.org/intro/article_detail/aamm/12994.html KW - Turbulent shear flow, compressibility, spectrum, energy transfer, anisotropy. AB -

The energy spectrum and energy transfer in compressible homogeneous turbulent shear flow are numerically investigated via high-accuracy direct numerical simulation. The Helmholtz decomposition method is employed to decompose the velocity field into a solenoidal component and a compressive one. It is found that the spectra of different velocity modes are strongly anisotropic over all the resolved scales and the specific properties of small-scale anisotropy are significantly influenced by the flow compressibility. The anisotropy of energy transfer process comes from an additional kinetic energy production term which acts as a dominant source at relatively large scales in the streamwise direction. After the redistribution of turbulent kinetic energy caused by the pressure-dilatation correlation in different directions, the energy fluxes due to advection are also expected to be anisotropic. The streamwise energy flux is predominantly large and passes down the kinetic energy to smaller scales, whereas the cross-streamwise and spanwise energy fluxes are less significant and pronounce an inverse energy transfer at relatively large scales.

Zongqiang Ma, Lili Wang & Zuoli Xiao. (2020). Anisotropy of the Spectral Structures in Compressible Homogeneous Turbulent Shear Flow. Advances in Applied Mathematics and Mechanics. 11 (3). 723-736. doi:10.4208/aamm.2018.s15
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