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Table 1 Summary of computational parameters. The computational domains \(L_{x}\), \(L_{y}\) and \(L_{z}\) are non-dimensionalized by channel half-height \(\delta\)

From: Constrained large-eddy simulation of laminar-turbulent transition in compressible channel flows

Cases

\(M_{\infty }\)

\(Re_{\infty }\)

\(T_{w}/T_{\infty }\)

\(Re_{\tau }\)

\(N_{x}\times N_{y}\times N_{z}\)

\(\Delta x^{+}\)

\(\Delta y_w^{+}\)

\(\Delta z^{+}\)

C1-DNS

1.5

3000

1.0

222

\(400\times 210\times 320\)

7

0.3

3

C1-CLES

1.5

3000

1.0

223

\(64 \times 65 \times 64\)

44

1

15

C1-LES

1.5

3000

1.0

211

\(64 \times 65 \times 64\)

41

1

14

C2-DNS

2.0

3500

1.0

281

\(400 \times 210 \times 320\)

8.8

0.4

3.7

C2-CLES

2.0

3500

1.0

278

\(64 \times 65 \times 64\)

55

1.4

18

C2-LES

2.0

3500

1.0

263

\(64 \times 65 \times 64\)

52

1.3

17

C3-DNS

3.0

4880

1.0

462

\(400\times 210\times 320\)

14

0.7

6

C3-CLES

3.0

4880

1.0

461

\(64 \times 65 \times 64\)

90

2.2

30

C3-LES

3.0

4880

1.0

433

\(64 \times 65 \times 64\)

85

2.1

28