The performance of dynamic subgrid-scale models in the large eddy simulation of rotating homogeneous turbulence

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Abstract

The performance of dynamic subgrid-scale (SGS) models is numerically examined in the large eddy simulation of rotating homogeneous turbulences in comparison with the corresponding filtered data of the direct numerical simulation (DNS). The examined dynamic SGS models are: the dynamic Smagorinsky model (DSM), the dynamic mixed model (DMM), the dynamic Clark model (DCM), and the dynamic two-parameter Clark model (DTCM). All models are mathematically reformulated in a rotating frame from the corresponding expressions in an inertial frame. It is shown that the DSM and the DMM are not consistent with the constraint of asymptotic material frame indifference, but the DCM and the DTCM are consistent. All models except the DSM show similar decays of the grid-scale turbulent energies both in nonrotating and in rotating frames; they agree well with the DNS in the nonrotating case, but they are slightly less dissipative than the DNS in the rotating case. The DSM underestimated the grid-scale energy dissipation in the nonrotating case, though there is no major difference from other models in the rotating case. However, the DSM in a rotating frame, which takes a different form that in an inertial frame, leads to an unphysical fluctuating decay for a homogeneous turbulence suddenly submitted to a rotation.

Original languageEnglish
Pages (from-to)2350-2360
Number of pages11
JournalPhysics of Fluids
Volume13
Issue number8
DOIs
Publication statusPublished - 2001 Aug

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homogeneous turbulence
Large eddy simulation
scale models
large eddy simulation
dynamic models
Turbulence
Dynamic models
direct numerical simulation
Direct numerical simulation
grids
decay
energy dissipation
Energy dissipation

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics

Cite this

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abstract = "The performance of dynamic subgrid-scale (SGS) models is numerically examined in the large eddy simulation of rotating homogeneous turbulences in comparison with the corresponding filtered data of the direct numerical simulation (DNS). The examined dynamic SGS models are: the dynamic Smagorinsky model (DSM), the dynamic mixed model (DMM), the dynamic Clark model (DCM), and the dynamic two-parameter Clark model (DTCM). All models are mathematically reformulated in a rotating frame from the corresponding expressions in an inertial frame. It is shown that the DSM and the DMM are not consistent with the constraint of asymptotic material frame indifference, but the DCM and the DTCM are consistent. All models except the DSM show similar decays of the grid-scale turbulent energies both in nonrotating and in rotating frames; they agree well with the DNS in the nonrotating case, but they are slightly less dissipative than the DNS in the rotating case. The DSM underestimated the grid-scale energy dissipation in the nonrotating case, though there is no major difference from other models in the rotating case. However, the DSM in a rotating frame, which takes a different form that in an inertial frame, leads to an unphysical fluctuating decay for a homogeneous turbulence suddenly submitted to a rotation.",
author = "Hiromichi Kobayashi and Yutaka Shimomura",
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N2 - The performance of dynamic subgrid-scale (SGS) models is numerically examined in the large eddy simulation of rotating homogeneous turbulences in comparison with the corresponding filtered data of the direct numerical simulation (DNS). The examined dynamic SGS models are: the dynamic Smagorinsky model (DSM), the dynamic mixed model (DMM), the dynamic Clark model (DCM), and the dynamic two-parameter Clark model (DTCM). All models are mathematically reformulated in a rotating frame from the corresponding expressions in an inertial frame. It is shown that the DSM and the DMM are not consistent with the constraint of asymptotic material frame indifference, but the DCM and the DTCM are consistent. All models except the DSM show similar decays of the grid-scale turbulent energies both in nonrotating and in rotating frames; they agree well with the DNS in the nonrotating case, but they are slightly less dissipative than the DNS in the rotating case. The DSM underestimated the grid-scale energy dissipation in the nonrotating case, though there is no major difference from other models in the rotating case. However, the DSM in a rotating frame, which takes a different form that in an inertial frame, leads to an unphysical fluctuating decay for a homogeneous turbulence suddenly submitted to a rotation.

AB - The performance of dynamic subgrid-scale (SGS) models is numerically examined in the large eddy simulation of rotating homogeneous turbulences in comparison with the corresponding filtered data of the direct numerical simulation (DNS). The examined dynamic SGS models are: the dynamic Smagorinsky model (DSM), the dynamic mixed model (DMM), the dynamic Clark model (DCM), and the dynamic two-parameter Clark model (DTCM). All models are mathematically reformulated in a rotating frame from the corresponding expressions in an inertial frame. It is shown that the DSM and the DMM are not consistent with the constraint of asymptotic material frame indifference, but the DCM and the DTCM are consistent. All models except the DSM show similar decays of the grid-scale turbulent energies both in nonrotating and in rotating frames; they agree well with the DNS in the nonrotating case, but they are slightly less dissipative than the DNS in the rotating case. The DSM underestimated the grid-scale energy dissipation in the nonrotating case, though there is no major difference from other models in the rotating case. However, the DSM in a rotating frame, which takes a different form that in an inertial frame, leads to an unphysical fluctuating decay for a homogeneous turbulence suddenly submitted to a rotation.

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