# 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. 3c
#
# 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 = 705 (nominally referred to as Re_tau = 700)
#
# 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
1.169079e+01	3.509186e+00	6.412326e-01	2.944578e+00	5.850912e+00
1.435030e+01	2.683570e+00	6.630298e-01	2.276147e+00	4.495757e+00
1.761483e+01	1.727258e+00	6.946251e-01	1.539850e+00	3.007866e+00
2.162199e+01	9.503986e-01	7.322890e-01	9.671137e-01	1.845322e+00
2.654073e+01	4.863058e-01	7.654559e-01	6.273093e-01	1.145865e+00
3.257843e+01	2.563402e-01	7.895097e-01	4.493132e-01	7.643913e-01
3.998964e+01	1.475955e-01	8.061436e-01	3.550561e-01	5.450851e-01
4.908680e+01	9.498040e-02	8.175273e-01	3.027606e-01	4.086583e-01
6.025346e+01	6.850495e-02	8.258022e-01	2.739251e-01	3.205420e-01
7.396040e+01	5.423157e-02	8.332946e-01	2.558415e-01	2.618234e-01
9.078550e+01	4.565414e-02	8.411595e-01	2.456792e-01	2.265100e-01
1.114381e+02	3.969746e-02	8.492646e-01	2.399629e-01	2.050803e-01
1.367890e+02	3.557368e-02	8.574234e-01	2.369514e-01	1.924560e-01
1.679068e+02	3.218414e-02	8.672593e-01	2.360594e-01	1.863721e-01
2.061036e+02	2.827582e-02	8.767377e-01	2.357347e-01	1.830946e-01
2.529897e+02	2.576261e-02	8.854637e-01	2.359561e-01	1.803998e-01
3.105418e+02	2.415237e-02	8.935212e-01	2.373464e-01	1.783251e-01
3.811863e+02	2.308969e-02	9.030345e-01	2.383902e-01	1.761224e-01
4.679017e+02	2.091371e-02	9.106272e-01	2.412564e-01	1.751279e-01
5.743437e+02	1.478941e-02	9.174181e-01	2.437049e-01	1.726077e-01
7.050000e+02	3.401608e-03	9.200635e-01	2.430178e-01	1.693054e-01
