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 language | English |
|---|---|
| Pages (from-to) | 2350-2360 |
| Number of pages | 11 |
| Journal | Physics of Fluids |
| Volume | 13 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2001 Aug |
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ASJC Scopus subject areas
- Mechanics of Materials
- Computational Mechanics
- Physics and Astronomy(all)
- Fluid Flow and Transfer Processes
- Condensed Matter Physics
Cite this
The performance of dynamic subgrid-scale models in the large eddy simulation of rotating homogeneous turbulence. / Kobayashi, Hiromichi; Shimomura, Yutaka.
In: Physics of Fluids, Vol. 13, No. 8, 08.2001, p. 2350-2360.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The performance of dynamic subgrid-scale models in the large eddy simulation of rotating homogeneous turbulence
AU - Kobayashi, Hiromichi
AU - Shimomura, Yutaka
PY - 2001/8
Y1 - 2001/8
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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U2 - 10.1063/1.1380688
DO - 10.1063/1.1380688
M3 - Article
VL - 13
SP - 2350
EP - 2360
JO - Physics of Fluids
JF - Physics of Fluids
SN - 1070-6631
IS - 8
ER -