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 from that in an inertial frame, leads to an unphysical fluctuating decay for a homogeneous turbulence suddenly submitted to a rotation.

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