# Authors: Domenico Zaza, Vlad Giurgiu, Michele Iovieno, Alfredo Soldati
# Paper: Angular velocity of Kolmogorov-scale fibers as proxy for turbulent dissipation
# Journal: Physical Review Letters
# Year: 2026
# DOI: 10.1103/kcmw-5dph
#
# Dataset: DNS (ellipsoidal particles)
# Figure: Fig. 3b
#
# Description:
# Direct Numerical Simulation (DNS) data of ellipsoidal particles.
# The dataset reports the individual contributions appearing in Eq. (2)
# of the paper to the mean-square angular velocity ⟨ω_p^2⟩, evaluated from DNS
# and expressed in wall units as a function of the wall-normal coordinate y+.
#
# All contributions are rescaled by 1/(4 τ_ℓ^2). The mixed strain–vorticity
# contribution is reported with reversed sign, as plotted in Figure 3, to
# highlight the cancellation with the strain-induced term.
#
# Reynolds number:
# Re_tau = 365 (nominally referred to as Re_tau = 360)
#
# Column definitions:
# C1: y_plus
#     = y+
#     = wall-normal distance in viscous units.
#
# C2: mean_shear_contribution
#     = [ overline{ d⟨u⟩/dy }^ℓ ]^2 · τ_ℓ^2
#     = contribution due to the mean shear.
#
# C3: fluctuating_enstrophy_contribution
#     = ⟨ overline{ ω' }^{ℓ 2} ⟩ · τ_ℓ^2
#     = contribution due to fluctuating vorticity.
#
# C4: strain_induced_contribution
#     = 4 · λ^2 ⟨ ( p × overline{ S }^ℓ p )^2 ⟩ · τ_ℓ^2
#     = strain-induced contribution.
#
# C5: mixed_strain_vorticity_contribution
#     = − 4 · λ ⟨ overline{ ω }^ℓ · ( p × overline{ S }^ℓ p ) ⟩ · τ_ℓ^2
#     = mixed strain–vorticity contribution (reported with reversed sign).
#
# Notes:
# - Angle brackets ⟨·⟩ denote ensemble averaging.
# - The overline{.} denotes spatial filtering at the fiber length scale ℓ.
# - The prime (′) denotes fluctuations with respect to the filtered field.
# - The superscript “+” indicates normalization in wall units.
# - Data correspond to half-channel DNS statistics.
#
# C1          	C2          	C3          	C4          	C5
1.180084e+01	2.633529e+00	8.099894e-01	2.362959e+00	4.686347e+00
1.444051e+01	1.568338e+00	8.341697e-01	1.553116e+00	3.053629e+00
1.767062e+01	8.816075e-01	8.583675e-01	1.031446e+00	1.996849e+00
2.162327e+01	4.864020e-01	8.777779e-01	7.246787e-01	1.366484e+00
2.646005e+01	2.723331e-01	8.920373e-01	5.450231e-01	9.848167e-01
3.237875e+01	1.595107e-01	9.022618e-01	4.370018e-01	7.404784e-01
3.962137e+01	1.006449e-01	9.098605e-01	3.683037e-01	5.704997e-01
4.848405e+01	7.023602e-02	9.155129e-01	3.230401e-01	4.460058e-01
5.932917e+01	5.448803e-02	9.193941e-01	2.930415e-01	3.551501e-01
7.260018e+01	4.619720e-02	9.237734e-01	2.734631e-01	2.908317e-01
8.883970e+01	4.145774e-02	9.279875e-01	2.613606e-01	2.482028e-01
1.087117e+02	3.846769e-02	9.331099e-01	2.539249e-01	2.222165e-01
1.330289e+02	3.706464e-02	9.390401e-01	2.505321e-01	2.093293e-01
1.627853e+02	3.547838e-02	9.441341e-01	2.494755e-01	2.023571e-01
1.991979e+02	3.344769e-02	9.498805e-01	2.496467e-01	1.976839e-01
2.437553e+02	3.041152e-02	9.539777e-01	2.513767e-01	1.937023e-01
2.982795e+02	1.797049e-02	9.562206e-01	2.518660e-01	1.884550e-01
3.650000e+02	9.525321e-04	9.581166e-01	2.503963e-01	1.849315e-01
