# 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 (carrier flow statistics)
# Figure: Fig. 2b
#
# Description:
# Direct Numerical Simulation (DNS) data of the carrier turbulent flow.
# The dataset reports wall-normal profiles of filtered velocity-gradient
# statistics and mean turbulent dissipation rate in wall units.
#
# 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: Aij_lplus_sq
#     = <Ā'_{ij}^{ℓ,+} Ā'_{ij}^{ℓ,+}>
#     = mean-square filtered fluctuating velocity-gradient tensor.
#
# C3: epsilon_plus
#     = <ε+>
#     = mean turbulent dissipation rate in wall units.
#
# Notes:
# - Angle brackets <·> denote ensemble averaging.
# - The prime (′) denotes fluctuations.
# - The overbar (¯) denotes spatial filtering of the field at the
#   scale of the experimental fiber length ℓ.
# - The superscript “+” indicates normalization in wall units.
# - Data correspond to half-channel DNS statistics.
#
#
#
#C1				C2				C3
1.053600e+01	8.911616e-02	1.333753e-01
1.146700e+01	9.016326e-02	1.324411e-01
1.243700e+01	9.083881e-02	1.308630e-01
1.344600e+01	9.099268e-02	1.286384e-01
1.449300e+01	9.057234e-02	1.258329e-01
1.557800e+01	8.959279e-02	1.225425e-01
1.670200e+01	8.812160e-02	1.188781e-01
1.786400e+01	8.623006e-02	1.149370e-01
1.906500e+01	8.400826e-02	1.108082e-01
2.030300e+01	8.153500e-02	1.065685e-01
2.157900e+01	7.887784e-02	1.022712e-01
2.289200e+01	7.610058e-02	9.796712e-02
2.424300e+01	7.324864e-02	9.369863e-02
2.563200e+01	7.036592e-02	8.949178e-02
2.705700e+01	6.748621e-02	8.537534e-02
2.852000e+01	6.463989e-02	8.137123e-02
3.002000e+01	6.185063e-02	7.750274e-02
3.155600e+01	5.913905e-02	7.378630e-02
3.312900e+01	5.651755e-02	7.022740e-02
3.473800e+01	5.399400e-02	6.683014e-02
3.638400e+01	5.157628e-02	6.359315e-02
3.806500e+01	4.927041e-02	6.052466e-02
3.978300e+01	4.707713e-02	5.762603e-02
4.153600e+01	4.499681e-02	5.488767e-02
4.332400e+01	4.302646e-02	5.230274e-02
4.514800e+01	4.116307e-02	4.987534e-02
4.700700e+01	3.940289e-02	4.759315e-02
4.890100e+01	3.773766e-02	4.544521e-02
5.082900e+01	3.616213e-02	4.342192e-02
5.279200e+01	3.467367e-02	4.151918e-02
5.478900e+01	3.326853e-02	3.972877e-02
5.682000e+01	3.194258e-02	3.804521e-02
5.888500e+01	3.069019e-02	3.646027e-02
6.098400e+01	2.950647e-02	3.496164e-02
6.311600e+01	2.838656e-02	3.354795e-02
6.528100e+01	2.732633e-02	3.221096e-02
6.747800e+01	2.632014e-02	3.094795e-02
6.970900e+01	2.536348e-02	2.974795e-02
7.197200e+01	2.445449e-02	2.861507e-02
7.426700e+01	2.358979e-02	2.753836e-02
7.659300e+01	2.276487e-02	2.651644e-02
7.895200e+01	2.197936e-02	2.554726e-02
8.134200e+01	2.122987e-02	2.462616e-02
8.376300e+01	2.051304e-02	2.374671e-02
8.621400e+01	1.982774e-02	2.290603e-02
8.869700e+01	1.917433e-02	2.210644e-02
9.120900e+01	1.855207e-02	2.134589e-02
9.375200e+01	1.795872e-02	2.062288e-02
9.632500e+01	1.739238e-02	1.993438e-02
9.892600e+01	1.685082e-02	1.927781e-02
1.015600e+02	1.633102e-02	1.864945e-02
1.042200e+02	1.583149e-02	1.804589e-02
1.069100e+02	1.535072e-02	1.746658e-02
1.096200e+02	1.488910e-02	1.691205e-02
1.123700e+02	1.444661e-02	1.638192e-02
1.151400e+02	1.402214e-02	1.587493e-02
1.179400e+02	1.361306e-02	1.538630e-02
1.207700e+02	1.321824e-02	1.491438e-02
1.236200e+02	1.283505e-02	1.445808e-02
1.265000e+02	1.246388e-02	1.401603e-02
1.294100e+02	1.210396e-02	1.358904e-02
1.323400e+02	1.175568e-02	1.317781e-02
1.353000e+02	1.141978e-02	1.278233e-02
1.382800e+02	1.109401e-02	1.240014e-02
1.412900e+02	1.077726e-02	1.202986e-02
1.443200e+02	1.046988e-02	1.167192e-02
1.473800e+02	1.017264e-02	1.132630e-02
1.504600e+02	9.886658e-03	1.099370e-02
1.535600e+02	9.610809e-03	1.067329e-02
1.566900e+02	9.342466e-03	1.036260e-02
1.598400e+02	9.080878e-03	1.006000e-02
1.630100e+02	8.827172e-03	9.766301e-03
1.662100e+02	8.581723e-03	9.481918e-03
1.694200e+02	8.344530e-03	9.206986e-03
1.726600e+02	8.114843e-03	8.941507e-03
1.759200e+02	7.892287e-03	8.685068e-03
1.792000e+02	7.676112e-03	8.436849e-03
1.825000e+02	7.464853e-03	8.195342e-03
1.858200e+02	7.258698e-03	7.959726e-03
1.891600e+02	7.058698e-03	7.731781e-03
1.925200e+02	6.865115e-03	7.512877e-03
1.959000e+02	6.676337e-03	7.300274e-03
1.992900e+02	6.492325e-03	7.093562e-03
2.027100e+02	6.314693e-03	6.894247e-03
2.061400e+02	6.143592e-03	6.701918e-03
2.095900e+02	5.977669e-03	6.515616e-03
2.130600e+02	5.816401e-03	6.334521e-03
2.165400e+02	5.659936e-03	6.158630e-03
2.200400e+02	5.508013e-03	5.987123e-03
2.235600e+02	5.359730e-03	5.819589e-03
2.270900e+02	5.214374e-03	5.656027e-03
2.306300e+02	5.071533e-03	5.496301e-03
2.342000e+02	4.931882e-03	5.341370e-03
2.377700e+02	4.796472e-03	5.191507e-03
2.413600e+02	4.666091e-03	5.047534e-03
2.449600e+02	4.540327e-03	4.908493e-03
2.485800e+02	4.418427e-03	4.773836e-03
2.522100e+02	4.300807e-03	4.644247e-03
2.558500e+02	4.187615e-03	4.519863e-03
2.595000e+02	4.077838e-03	4.399452e-03
2.631700e+02	3.971627e-03	4.283014e-03
2.668400e+02	3.870032e-03	4.171781e-03
2.705300e+02	3.773278e-03	4.065479e-03
2.742300e+02	3.680991e-03	3.964110e-03
2.779400e+02	3.591893e-03	3.865890e-03
2.816500e+02	3.505611e-03	3.770685e-03
2.853800e+02	3.422368e-03	3.678904e-03
2.891100e+02	3.342015e-03	3.590000e-03
2.928600e+02	3.264740e-03	3.504658e-03
2.966100e+02	3.190880e-03	3.423699e-03
3.003600e+02	3.120998e-03	3.347534e-03
3.041300e+02	3.055320e-03	3.276301e-03
3.079000e+02	2.993507e-03	3.209178e-03
3.116800e+02	2.935673e-03	3.146575e-03
3.154600e+02	2.882154e-03	3.088493e-03
3.192500e+02	2.833064e-03	3.034658e-03
3.230500e+02	2.788065e-03	2.984521e-03
3.268500e+02	2.746782e-03	2.938082e-03
3.306500e+02	2.709289e-03	2.896301e-03
3.344600e+02	2.675436e-03	2.858767e-03
3.382700e+02	2.645337e-03	2.826027e-03
3.420800e+02	2.619328e-03	2.798219e-03
3.459000e+02	2.597636e-03	2.775068e-03
3.497200e+02	2.580296e-03	2.756301e-03
3.535400e+02	2.567236e-03	2.741918e-03
3.573600e+02	2.558041e-03	2.731644e-03
3.611800e+02	2.552374e-03	2.725151e-03
3.650000e+02	2.553800e-03	2.724356e-03
