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Table 6 The physical variables calculated using the filtered DNS data used for the variable normalization at the filter scales \(\bar {\Delta }=16 h_{\text {DNS}}\) and 32hDNS

From: Dynamic nonlinear algebraic models with scale-similarity dynamic procedure for large-eddy simulation of turbulence

\(\bar {\Delta } / h_{\text {DNS}}\)

εDNS

\(\bar {S}_{11,\text {fDNS}}^{\text {rms}}\)

\(\bar {S}_{12,\text {fDNS}}^{\text {rms}}\)

\(\left | {\bar {S}} \right |_{\text {fDNS}}^{\text {rms}}\)

\(\bar {\omega }_{{\text {fDNS}}}^{{\text {rms}}}\)

16

0.73

3.96

3.45

10.89

15.39

32

0.73

2.51

2.21

6.93

9.8