Table 1.
Description of the numerical database.
| Re | Ma | ν | cs | N | ϵf | η/Δx | Rλ | −⟨pθ⟩/ϵf | ϵd/ϵf | ||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 263 | 0.25 | 3.8 × 10−3 | 4.00 | 1283 | 0.96 | 1.98 | 21.4 | 0.48 % | 0.31 % | ||
| 263 | 0.50 | 3.8 × 10−3 | 2.00 | 1283 | 0.92 | 2.00 | 21.9 | 0.08 % | 2.01 % | ||
| 263 | 1.00 | 3.8 × 10−3 | 1.00 | 1283 | 1.03 | 1.95 | 20.7 | 1.72 % | 20.21 % | ||
| 263 | 2.00 | 3.8 × 10−3 | 0.50 | 2563 | 1.30 | 3.67 | 18.3 | 1.00 % | 43.27 % | ||
| 263 | 4.00 | 3.8 × 10−3 | 0.25 | 2563 | 1.27 | 3.67 | 18.6 | 0.59 % | 50.44 % | ||
| 714 | 0.25 | 1.4 × 10−3 | 4.00 | 2563 | 0.70 | 2.02 | 41.2 | 0.48 % | 0.26 % | ||
| 714 | 0.50 | 1.4 × 10−3 | 2.00 | 2563 | 0.68 | 2.04 | 41.7 | 0.09 % | 2.12 % | ||
| 714 | 1.00 | 1.4 × 10−3 | 1.00 | 2563 | 0.72 | 2.01 | 40.6 | 1.97 % | 23.74 % | ||
| 714 | 2.00 | 1.4 × 10−3 | 0.50 | 5123 | 1.01 | 3.70 | 34.3 | 1.26 % | 50.44 % | ||
| 714 | 4.00 | 1.4 × 10−3 | 0.25 | 5123 | 1.00 | 3.70 | 34.5 | 0.87 % | 54.07 % | ||
| 1886 | 0.25 | 5.3 × 10−4 | 4.00 | 5123 | 0.59 | 2.04 | 72.7 | 0.67 % | 0.25 % | ||
| 1886 | 0.50 | 5.3 × 10−4 | 2.00 | 5123 | 0.59 | 2.04 | 73.0 | 0.20 % | 2.17 % | ||
| 1886 | 1.00 | 5.3 × 10−4 | 1.00 | 5123 | 0.64 | 2.00 | 69.9 | 4.06 % | 25.84 % | ||
| 1886 | 2.00 | 5.3 × 10−4 | 0.50 | 10243 | 0.82 | 3.76 | 61.8 | 3.25 % | 57.43 % | ||
| 1886 | 4.00 | 5.3 × 10−4 | 0.25 | 10243 | 0.91 | 3.67 | 58.9 | 1.96 % | 57.62 % | ||
| 4166 | 0.25 | 2.4 × 10−4 | 4.00 | 10243 | 0.62 | 2.23 | 106.1 | 0.68 % | 0.13 % | ||
| 4166 | 0.50 | 2.4 × 10−4 | 2.00 | 10243 | 0.59 | 2.25 | 108.6 | 0.22 % | 2.37 % | ||
| 4166 | 1.00 | 2.4 × 10−4 | 1.00 | 10243 | 0.59 | 2.25 | 108.7 | 4.84 % | 26.10 % | ||
| 4166 | 2.00 | 2.4 × 10−4 | 0.50 | 19203 | 0.75 | 3.98 | 96.4 | 4.23 % | 61.35 % | ||
| 4166 | 4.00 | 2.4 × 10−4 | 0.25 | 19203 | 0.82 | 3.88 | 91.7 | 2.60 % | 61.43 % | ||
Notes. The number of simulation points is noted N and the mesh resolution is denoted Δx. The kinetic energy injection rate per unit mass (= viscous dissipation) ϵf = ⟨f ⋅ u⟩/ρ0 is given in units of u′3/L ( = 1). The Taylor-scale Reynolds number 
. The Kolmogorov length scale is defined by 
and is given in units of ![$ \Delta_x = 1/\sqrt[3]{N} $](/articles/aa/full_html/2025/11/aa55653-25/aa55653-25-eq8.gif)
. The pressure dilation ⟨pθ⟩ and the dilatation component of the kinetic energy dissipation rate ϵd = 4⟨μθ2⟩/3 are reported in percentage of ϵf.
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