Storage Format

The data provided is stored in HDF5 format. This can be easily read through the HDF5 library or python's h5py. The dataset consists of a master file which links a number of external files in the following way (in cursive the links to the external files):

Statistics.h5, master file
- 01_Info
  - Dimensions
- 02_Entries
  - Inputs
  - 01_Output
    - AdditionalQuantities
    - Convection
    - Production
    - TurbulentDiffusion01
    - TurbulentDiffusion02
    - PressureStrain
    - Dissipation
    - TripleCorrelation
    - PressureVelocity
- 03_Nodes
  - Nodes

Each of these external files contain an array of a certain number of positions (1 if scalar, 3 if vectorial or 6 if tensorial with the exception of the velocity triple correlation).

Data file structure

This section provides information in how the data is structured for the different external files mentioned above. The list number minus 1 corresponds to the array position on python (since python starts counting on 0).

Inputs

${\overline {P}}$
${\overline {U}}$
${\overline {V}}$
${\overline {W}}$
${{\overline {\tau }}_{11}}$
${{\overline {\tau }}_{12}}$
${{\overline {\tau }}_{22}}$
${{\overline {\tau }}_{13}}$
${{\overline {\tau }}_{23}}$
${{\overline {\tau }}_{33}}$
${R_{11}}$
${R_{12}}$
${R_{22}}$
${R_{13}}$
${R_{23}}$
${R_{33}}$
${{\overline {P}},1}$
${{\overline {U}},1}$
${{\overline {V}},1}$
${{\overline {W}},1}$
${{\overline {P}},2}$
${{\overline {U}},2}$
${{\overline {V}},2}$
${{\overline {W}},2}$
${{\overline {P}},3}$
${{\overline {U}},3}$
${{\overline {V}},3}$
${{\overline {W}},3}$

Additional Quantities

${\overline {pp}}$
Taylor microscale
Kolmogorov length scale
Kolmorogov time scale

Triple Correlation

${\rho {\overline {uuu}}}$
${\rho {\overline {uvu}}}$
${\rho {\overline {vvu}}}$
${\rho {\overline {uwu}}}$
${\rho {\overline {vwu}}}$
${\rho {\overline {wwu}}}$
${\rho {\overline {vvv}}}$
${\rho {\overline {vwv}}}$
${\rho {\overline {wwv}}}$
${\rho {\overline {www}}}$

Pressure Velocity Correlation

${\overline {pu}}$
${\overline {pv}}$
${\overline {pw}}$

Budget Equation Components

The components of the Reynolds stress budget equation come in the following order (for a generic budget component $\phi$ ):

${\phi _{11}}$
${\phi _{12}}$
${\phi _{22}}$
${\phi _{13}}$
${\phi _{23}}$
${\phi _{33}}$

Reading the data with python

The following section provides some examples on how to read the data using the h5py interface of python. A first example on how to open the dataset and read the node data and the inputs would be:

import h5py

f = h5py.File('Statistics.h5','r')

xyz = np.array( f.get('03_Nodes').get('Nodes') )

inp = np.array( f.get('02_Entries').get('Inputs') )

f.close()

Then, to retrieve the gradients and the Reynolds stress tensor in an array (indices are these of the list above minus 1) would be:

grad_velocity = inp[:,[17,21,25,18,22,26,19,23,27]].astype(np.double)

Rij = inp[:,[10,11,13,11,12,14,13,14,15]].astype(np.double)

Contributed by: Oriol Lehmkuhl, Arnau Miro — Barcelona Supercomputing Center (BSC)

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