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Table 3 Simulated parameters and flow statistics for 2D decaying turbulence at \(t=3\). All the simulations are performed with the initial conditions of \({{T}_{0}}\) = 300 K, \({{P}_{0}}\) = 1 bar and \({{\rho }_{0}}\)= 1.6 kg/\({\textrm{m}^{3}}\)

From: Effect of thermal fluctuations on homogeneous compressible turbulence

Case

\(Kn_0\, (10^{-4})\)

\(M_{t0}\)

\(M_{t}\)

\(\left\langle T \right\rangle \,(\textrm{K})\)

\(L\,(\textrm{mm})\)

\(N_c^2\)

\(\left\langle N_p \right\rangle\)

\(N_g^2\)

Re

\(Re_{\lambda }\)

\(k_{g,\textrm{max}}\eta _\varOmega\)

E

2.5

0.25

0.12

308

0.227

\(4096^2\)

25

\(64^2\)

94.8

4.5

2.37

F

2.5

0.5

0.29

326

0.227

\(4096^2\)

25

\(128^2\)

231.7

5.9

3.00

G

2.5

1

0.48

412

0.227

\(4096^2\)

25

\(128^2\)

351.4

7.4

2.45