# 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. 3a
#
# 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 = 180
#
# 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
1.179046e+01	2.269280e+00	9.303310e-01	2.235414e+00	4.443802e+00
1.432464e+01	1.382082e+00	9.427008e-01	1.541873e+00	3.046422e+00
1.740350e+01	8.059264e-01	9.541203e-01	1.084702e+00	2.120297e+00
2.114412e+01	4.609615e-01	9.636746e-01	8.010157e-01	1.538566e+00
2.568873e+01	2.659396e-01	9.710981e-01	6.239862e-01	1.166127e+00
3.121013e+01	1.608352e-01	9.762064e-01	5.111081e-01	9.159708e-01
3.791828e+01	1.063417e-01	9.794699e-01	4.347568e-01	7.333604e-01
4.606823e+01	7.844797e-02	9.802673e-01	3.796804e-01	5.887740e-01
5.596990e+01	6.480223e-02	9.792644e-01	3.385190e-01	4.705004e-01
6.799979e+01	5.919439e-02	9.768575e-01	3.099437e-01	3.818046e-01
8.261531e+01	5.711923e-02	9.750191e-01	2.902654e-01	3.155536e-01
1.003722e+02	5.667125e-02	9.751696e-01	2.788372e-01	2.712058e-01
1.219457e+02	5.008586e-02	9.733097e-01	2.713330e-01	2.390401e-01
1.481561e+02	2.644550e-02	9.733133e-01	2.642463e-01	2.130345e-01
1.800000e+02	3.312181e-03	9.720520e-01	2.594320e-01	1.974389e-01
