Dataset DOI: 10.5061/dryad.8sf7m0d4j

Description of the data and file structure

This dataset was generated from direct numerical simulations (DNS) of turbulent von Kármán flows in a cylinder using the Nek5000 solver, with the highest Reynolds number of 150,000.

It includes instantaneous velocity fields, mean flow fields, global helical-wave energy spectra at different Reynolds numbers, and energy transfer functions.

The dataset supports the results of the associated Physical Review Fluids publication (DOI:https://doi.org/10.1103/n56l-3ylf).

Files and variables

File: Spectral_space_analysis.zip

Description: contains global helical-wave energy spectra (.mat) and energy transfer functions T1, T2, T3 (.mat) for different Reynolds numbers.

• Ln_sort_norm: dimensionless wavenumber
• SpecE_sort_mean_norm: dimensionless energy spectrum
• T1, T2, T3: dimensionless energy transfer functions

File: Mean_flow_fields_at_Re_150000.zip

Description: contains mean flow fields stored in .dat files.

• Vr_avg.dat: mean radial velocity
• Vt_avg.dat: mean azimuthal velocity
• Vz_avg.dat: mean axial velocity
• GauX_300.txt, GauY_1200.txt: coordinates of the Gaussian-interpolated grid in the meridional plane
• Vt_mean_plot.m: MATLAB post-processing script for reading interpolated grid data of the mean velocity field in the meridional plane of the cylinder

File: Instantaneous_flow_fields_at_Re_150000.zip

Description: Contains instantaneous velocity field files and postprocessing configuration files.

• vortex0.f00310: instantaneous velocity field at a given timestep
• .re2, .ma2: Nek5000 grid files
• .par, .usr, SIZE: postprocess configuration files
• TH1.sh: HPC script used to postprocess the simulation results

Code/software

This dataset was generated using the open-source spectral element solver Nek5000 (https://nek5000.mcs.anl.gov/) for direct numerical simulations of turbulent von Kármán flows.

MATLAB was used for postprocessing, including the generation of energy spectra, energy transfer functions, and mean flow fields.

The workflow is as follows:

1. Postprocessing were performed with Nek5000 using the provided configuration files (.par, .usr, SIZE) and grid files (.re2, .ma2).
2. Simulation output files (e.g., vortex0.f0XXXX) were postprocessed to compute mean fields, energy spectra, and energy transfer functions.

Access information

Other publicly accessible locations of the data:

• Not applicable

Data was derived from the following sources:

• All data were generated by direct numerical simulations performed by the authors.