# 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. 2c
#
# 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 = 705 (nominally referred to as Re_tau = 700)
#
# 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
1.132994e+01	4.681656e-02	1.337447e-01
1.229050e+01	4.816559e-02	1.318660e-01
1.329023e+01	4.931442e-02	1.293745e-01
1.432912e+01	5.021880e-02	1.263418e-01
1.540621e+01	5.083044e-02	1.228652e-01
1.652148e+01	5.111815e-02	1.190482e-01
1.767592e+01	5.107087e-02	1.149865e-01
1.886854e+01	5.070067e-02	1.107652e-01
2.009935e+01	5.004074e-02	1.064567e-01
2.136933e+01	4.913737e-02	1.021213e-01
2.267652e+01	4.803984e-02	9.780426e-02
2.402190e+01	4.679443e-02	9.354255e-02
2.540644e+01	4.544641e-02	8.936667e-02
2.682819e+01	4.403300e-02	8.530071e-02
2.828813e+01	4.258237e-02	8.136241e-02
2.978527e+01	4.112167e-02	7.756950e-02
3.132158e+01	3.966702e-02	7.393333e-02
3.289413e+01	3.823450e-02	7.045461e-02
3.450485e+01	3.683316e-02	6.713475e-02
3.615377e+01	3.547206e-02	6.397447e-02
3.783892e+01	3.415623e-02	6.097589e-02
3.956225e+01	3.289070e-02	5.814184e-02
4.132279e+01	3.167849e-02	5.546667e-02
4.311956e+01	3.052060e-02	5.295106e-02
4.495452e+01	2.941703e-02	5.058298e-02
4.682571e+01	2.836376e-02	4.835177e-02
4.873410e+01	2.735979e-02	4.624894e-02
5.067873e+01	2.640410e-02	4.426809e-02
5.266056e+01	2.549570e-02	4.240496e-02
5.467862e+01	2.463156e-02	4.065177e-02
5.673292e+01	2.381168e-02	3.900213e-02
5.882344e+01	2.303204e-02	3.744823e-02
6.095019e+01	2.229164e-02	3.598440e-02
6.311317e+01	2.158543e-02	3.460355e-02
6.531238e+01	2.091444e-02	3.329787e-02
6.754683e+01	2.027463e-02	3.206525e-02
6.981654e+01	1.966561e-02	3.090071e-02
7.212248e+01	1.908405e-02	2.979787e-02
7.446367e+01	1.852814e-02	2.875248e-02
7.684010e+01	1.799608e-02	2.775745e-02
7.925179e+01	1.748644e-02	2.681206e-02
8.169873e+01	1.699814e-02	2.591277e-02
8.417994e+01	1.652945e-02	2.505745e-02
8.669640e+01	1.607917e-02	2.424113e-02
8.924712e+01	1.564650e-02	2.346312e-02
9.183213e+01	1.523153e-02	2.272199e-02
9.445238e+01	1.483396e-02	2.201844e-02
9.710592e+01	1.445269e-02	2.134823e-02
9.979667e+01	1.408662e-02	2.070709e-02
1.025187e+02	1.373452e-02	2.009220e-02
1.052702e+02	1.339540e-02	1.950284e-02
1.080608e+02	1.306816e-02	1.893759e-02
1.108808e+02	1.275177e-02	1.839574e-02
1.137400e+02	1.244565e-02	1.787518e-02
1.166285e+02	1.214949e-02	1.737589e-02
1.195465e+02	1.186298e-02	1.689645e-02
1.225035e+02	1.158584e-02	1.643404e-02
1.254900e+02	1.131774e-02	1.599078e-02
1.285058e+02	1.105860e-02	1.556383e-02
1.315608e+02	1.080831e-02	1.515248e-02
1.346452e+02	1.056687e-02	1.475745e-02
1.377590e+02	1.033409e-02	1.437730e-02
1.409021e+02	1.010895e-02	1.400950e-02
1.440844e+02	9.890448e-03	1.365404e-02
1.472960e+02	9.677783e-03	1.330922e-02
1.505371e+02	9.470650e-03	1.297667e-02
1.538075e+02	9.269151e-03	1.265589e-02
1.571073e+02	9.073688e-03	1.234681e-02
1.604463e+02	8.884261e-03	1.204865e-02
1.638146e+02	8.700367e-03	1.176050e-02
1.672025e+02	8.521905e-03	1.148213e-02
1.706296e+02	8.348775e-03	1.121348e-02
1.740860e+02	8.181580e-03	1.095482e-02
1.775719e+02	8.020220e-03	1.070660e-02
1.810871e+02	7.863890e-03	1.046667e-02
1.846219e+02	7.711483e-03	1.023376e-02
1.881958e+02	7.562597e-03	1.000709e-02
1.917992e+02	7.417333e-03	9.787305e-03
1.954319e+02	7.275489e-03	9.573972e-03
1.990842e+02	7.136663e-03	9.365745e-03
2.027756e+02	7.000453e-03	9.161631e-03
2.064867e+02	6.866757e-03	8.962837e-03
2.102369e+02	6.735778e-03	8.769433e-03
2.140067e+02	6.607414e-03	8.580426e-03
2.177960e+02	6.481465e-03	8.395816e-03
2.216246e+02	6.357728e-03	8.215674e-03
2.254825e+02	6.236407e-03	8.040851e-03
2.293600e+02	6.117600e-03	7.870709e-03
2.332669e+02	6.001509e-03	7.704397e-03
2.371933e+02	5.888235e-03	7.541702e-03
2.411492e+02	5.777677e-03	7.382908e-03
2.451344e+02	5.669433e-03	7.227305e-03
2.491490e+02	5.563000e-03	7.074468e-03
2.531831e+02	5.458780e-03	6.925319e-03
2.572467e+02	5.356773e-03	6.780567e-03
2.613298e+02	5.256476e-03	6.640496e-03
2.654423e+02	5.157789e-03	6.503121e-03
2.695744e+02	5.060611e-03	6.368652e-03
2.737358e+02	4.965746e-03	6.238369e-03
2.779169e+02	4.872793e-03	6.110993e-03
2.821273e+02	4.782053e-03	5.986170e-03
2.863573e+02	4.693124e-03	5.863972e-03
2.906069e+02	4.605905e-03	5.743830e-03
2.948858e+02	4.520095e-03	5.626241e-03
2.991942e+02	4.435894e-03	5.510284e-03
3.035123e+02	4.353302e-03	5.396809e-03
3.078598e+02	4.272823e-03	5.286241e-03
3.122269e+02	4.194256e-03	5.179007e-03
3.166135e+02	4.117298e-03	5.074326e-03
3.210296e+02	4.041547e-03	4.971915e-03
3.254652e+02	3.967305e-03	4.871915e-03
3.299204e+02	3.894271e-03	4.773262e-03
3.343952e+02	3.822544e-03	4.676454e-03
3.388896e+02	3.752326e-03	4.581844e-03
3.434035e+02	3.683215e-03	4.489291e-03
3.479469e+02	3.615211e-03	4.398865e-03
3.525000e+02	3.548212e-03	4.310426e-03
3.570727e+02	3.482320e-03	4.223830e-03
3.616748e+02	3.417333e-03	4.138794e-03
3.662867e+02	3.353352e-03	4.055106e-03
3.709181e+02	3.290177e-03	3.972624e-03
3.755790e+02	3.228107e-03	3.892128e-03
3.802496e+02	3.167044e-03	3.813546e-03
3.849398e+02	3.107087e-03	3.736099e-03
3.896398e+02	3.047935e-03	3.659716e-03
3.943692e+02	2.990192e-03	3.585319e-03
3.991083e+02	2.933856e-03	3.512695e-03
4.038671e+02	2.878326e-03	3.441773e-03
4.086454e+02	2.823902e-03	3.372695e-03
4.134433e+02	2.770384e-03	3.305248e-03
4.182510e+02	2.718173e-03	3.239716e-03
4.230783e+02	2.667170e-03	3.175603e-03
4.279154e+02	2.617172e-03	3.112199e-03
4.327721e+02	2.567678e-03	3.048865e-03
4.376483e+02	2.518787e-03	2.986525e-03
4.425344e+02	2.471304e-03	2.925745e-03
4.474302e+02	2.424928e-03	2.866454e-03
4.523554e+02	2.379156e-03	2.808085e-03
4.572806e+02	2.333987e-03	2.750780e-03
4.622254e+02	2.289523e-03	2.694681e-03
4.671800e+02	2.245963e-03	2.639645e-03
4.721542e+02	2.203611e-03	2.586241e-03
4.771381e+02	2.162366e-03	2.534681e-03
4.821319e+02	2.122127e-03	2.484610e-03
4.871452e+02	2.082491e-03	2.435035e-03
4.921683e+02	2.043760e-03	2.386738e-03
4.972012e+02	2.005382e-03	2.339504e-03
5.022440e+02	1.967607e-03	2.293050e-03
5.072965e+02	1.930376e-03	2.247234e-03
5.123685e+02	1.893889e-03	2.202270e-03
5.174406e+02	1.858136e-03	2.157943e-03
5.225323e+02	1.823107e-03	2.114184e-03
5.276338e+02	1.788823e-03	2.071277e-03
5.327352e+02	1.755425e-03	2.029716e-03
5.378562e+02	1.723042e-03	1.989645e-03
5.429871e+02	1.691665e-03	1.951277e-03
5.481179e+02	1.661154e-03	1.914326e-03
5.532683e+02	1.631377e-03	1.878723e-03
5.584187e+02	1.602193e-03	1.844113e-03
5.635888e+02	1.573673e-03	1.810638e-03
5.687587e+02	1.546009e-03	1.778227e-03
5.739287e+02	1.519390e-03	1.746950e-03
5.791183e+02	1.493879e-03	1.716738e-03
5.843079e+02	1.469483e-03	1.687589e-03
5.895073e+02	1.446074e-03	1.659291e-03
5.947165e+02	1.423641e-03	1.632057e-03
5.999256e+02	1.402263e-03	1.606028e-03
6.051446e+02	1.381842e-03	1.581277e-03
6.103635e+02	1.362286e-03	1.557305e-03
6.155923e+02	1.343685e-03	1.534681e-03
6.208308e+02	1.326221e-03	1.513404e-03
6.260694e+02	1.309954e-03	1.493759e-03
6.313079e+02	1.294744e-03	1.475319e-03
6.365562e+02	1.280539e-03	1.458156e-03
6.418046e+02	1.267331e-03	1.442262e-03
6.470627e+02	1.255068e-03	1.427454e-03
6.523110e+02	1.243901e-03	1.414291e-03
6.575790e+02	1.233882e-03	1.402475e-03
6.628371e+02	1.224798e-03	1.391872e-03
6.681050e+02	1.216559e-03	1.382340e-03
6.733729e+02	1.209245e-03	1.373894e-03
6.786408e+02	1.203008e-03	1.366631e-03
6.839088e+02	1.197968e-03	1.360936e-03
6.891767e+02	1.194035e-03	1.356688e-03
6.944544e+02	1.191137e-03	1.353567e-03
6.997223e+02	1.189326e-03	1.351553e-03
7.050000e+02	1.191530e-03	1.349035e-03
