<?xml version="1.0" encoding="UTF-8" ?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-13T05:03:19Z</responseDate><request identifier="10.35097/s3jx9n5yhzz2f24g" metadataPrefix="oai_dc" verb="GetRecord">https://www.radar-service.eu/oai/OAIHandler</request><GetRecord><record><header><identifier>10.35097/s3jx9n5yhzz2f24g</identifier><datestamp>2026-10-09T10:51:05Z</datestamp><setSpec>radar4kit</setSpec></header><metadata><oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/"
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   <dc:identifier>https://dx.doi.org/10.35097/s3jx9n5yhzz2f24g</dc:identifier>
   <dc:creator>Secchi, Francesco</dc:creator>
   <dc:title>Dataset for "A framework for assessing the Reynolds analogy in turbulent forced convection over rough walls"</dc:title>
   <dc:publisher>Karlsruhe Institute of Technology</dc:publisher>
   <dc:date>2024</dc:date>
   <dc:subject>Engineering</dc:subject>
   <dc:type>dataset</dc:type>
   <dc:subject>Dataset</dc:subject>
   <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
   <dc:rights>https://creativecommons.org/licenses/by-nc/4.0/legalcode</dc:rights>
   <dc:description>Direct numerical simulations (DNS) are used to assess the similarity, in rough-wall turbulent flow, between the time-averaged transport of mechanical energy (i.e. the sum of kienetic energy and pressure work) and of the squared passive-scalar field, theta^2/2.&#xD;
&#xD;
The database comprises three simulations:&#xD;
1) k00re180, smooth wall at a friction Reynolds number Re_tau=180;&#xD;
2) k15re180, rough wall at a friction Reynolds number Re_tau=180 and roughness Reynolds number k^+=15 (k^+=k u_tau/nu, k is the roughness characteristics size, u_tau is the friction velocity, and nu is the kinematic viscosity);&#xD;
3) k90re540, rough-wall at a friction Reynolds number Re_tau=540 and roughness Reynolds number k^+=90.&#xD;
&#xD;
The roughness topography is taken from: 'Thakkar, M. (2017) Investigation of turbulent flow over irregular rough surfaces using direct numerical simulations (PhD Thesis), University of Southampton, Southampton, UK'.&#xD;
The DNS are performed using the spectral element flow solver Nek5000 (Version 19.0. 2019, Argonne National Laboratory, Illinois. https://nek5000.mcs.anl.gov).&#xD;
&#xD;
The dataset contains the following files:&#xD;
1) Mean wall-normal profiles (ascii),&#xD;
   -  k00re180.dat&#xD;
   -  k15re180.dat&#xD;
   -  k90re540.dat&#xD;
2) Volume-averaged quantities (i.e. volume integrated quantities per unit volume) (ascii)&#xD;
   -  BULK_k00re180.dat&#xD;
   -  BULK_k15re180.dat&#xD;
   -  BULK_k90re540.dat&#xD;
3) Time-averaged dispersive fluctuations distributions on the plane y/delta=1.2 (y is the spanwise coordinate and delta is the half channel height) (binary)&#xD;
   - sfA_y120_k15re180.vtk&#xD;
   - sfA_y120_k90re540.vtk&#xD;
&#xD;
In each file, the variables are made dimensionless using the friction velocity u_tau and the channel half-height delta. For all the cases, a unit Prandtl number is used. Therefore, the friction Peclet number is equal to the friction Reynolds number, Pe_tau=Re_tau. Furthermore, the flow is always considered incompressible.&#xD;
In the following, Ui indicates the i-velocity component; C indicates the scalar field; P indicates the pressure; K=UiUi/2 is the kinetic energy; G=C^2/2 is the squared scalar field; ,i denotes differentiation in the i-direction; Oi indicates the i-vorticity component; Sij indicates the (i,j)-component of the strain-rate tensor; &lt; . &gt;t indicates a time-averaged quantity; &lt; . &gt;ts indicates a space- and time-averaged quantity; a prime superscript, (.)', indicates temporal fluctuations; a double prime superscript, (.)'', indicates dispersive fluctuations of the time-averaged field induced by the roughness. Note that the coordinate directions are: &#xD;
Streamwise,  x, i=1;&#xD;
Spanwise,    y, i=2;&#xD;
Wall-normal, z, i=3.&#xD;
&#xD;
The dataset files contain:&#xD;
1) kXXreXXX.dat&#xD;
      z&#xD;
      &lt;C&gt;ts&#xD;
      &lt;C,i&gt;ts&lt;C,i&gt;ts/Pe_tau&#xD;
      &lt;C,i'C,i'&gt;/Pe_tau&#xD;
      &lt;Oi&gt;ts&lt;Oi&gt;ts/Re_tau&#xD;
      &lt;Oi'Oi'&gt;/Re_tau&#xD;
      2&lt;Sij&gt;ts&lt;Sij&gt;ts/Re_tau&#xD;
      2&lt;Sij'Sij'&gt;ts/Re_tau&#xD;
      &lt;(Ui P),i&gt;ts&#xD;
      &lt;(Ui K),i&gt;ts&#xD;
      &lt;P,ii&gt;ts/Re_tau&#xD;
      &lt;K,ii&gt;ts/Re_tau&#xD;
      &lt;Ux&gt;ts&#xD;
      &lt;(Ui G),i&gt;ts&#xD;
      &lt;G,ii&gt;ts/Pe_tau&#xD;
&#xD;
2) BULK_kXXreXXX.dat&#xD;
      &lt;Oi&gt;t&lt;Oi&gt;t&#xD;
      &lt;Oi'Oi'&gt;t&#xD;
      &lt;Oi&gt;t''&lt;Oi&gt;t''&#xD;
      &lt;Oi&gt;ts&lt;Oi&gt;ts&#xD;
      &lt;Oi&gt;t&lt;Oi&gt;ts&#xD;
      &lt;Oi&gt;ts&lt;Oi&gt;t''&#xD;
      &lt;C,i&gt;t&lt;C,i&gt;t&#xD;
      &lt;C,i'C,i'&gt;t&#xD;
      &lt;C,i&gt;t''&lt;C,i&gt;t''&#xD;
      &lt;C,i&gt;ts&lt;C,i&gt;ts&#xD;
      &lt;C,i&gt;t&lt;C,i&gt;ts&#xD;
      &lt;C,i&gt;ts&lt;C,i&gt;t''&#xD;
      AER[&lt;Oi&gt;t&lt;Oi&gt;t]&#xD;
      AER[&lt;Oi'Oi'&gt;t]&#xD;
      AER[&lt;Oi&gt;t''&lt;Oi&gt;t'']&#xD;
      AER[&lt;Oi&gt;ts&lt;Oi&gt;ts]&#xD;
      AER&lt;Oi&gt;t&lt;Oi&gt;ts&#xD;
      AER[&lt;Oi&gt;ts&lt;Oi&gt;t''&#xD;
      AER[&lt;C,i&gt;t&lt;C,i&gt;t]&#xD;
      AER[&lt;C,i'C,i'&gt;t]&#xD;
      AER[&lt;C,i&gt;t''&lt;C,i&gt;t'']&#xD;
      AER[&lt;C,i&gt;ts&lt;C,i&gt;ts]&#xD;
      AER[&lt;C,i&gt;t&lt;C,i&gt;ts]&#xD;
      AER[&lt;C,i&gt;ts&lt;C,i&gt;t'']&#xD;
      WMR[&lt;Oi&gt;t&lt;Oi&gt;t]&#xD;
      WMR[&lt;Oi'Oi'&gt;t]&#xD;
      WMR[&lt;Oi&gt;t''&lt;Oi&gt;t'']&#xD;
      WMR[&lt;Oi&gt;ts&lt;Oi&gt;ts ]&#xD;
      WMR[&lt;Oi&gt;t&lt;Oi&gt;ts]&#xD;
      WMR[&lt;Oi&gt;ts&lt;Oi&gt;t'']&#xD;
      WMR[&lt;C,i&gt;t&lt;C,i&gt;t]&#xD;
      WMR[&lt;C,i'C,i'&gt;t]&#xD;
      WMR[&lt;C,i&gt;t''&lt;C,i&gt;t'']&#xD;
      WMR[&lt;C,i&gt;ts&lt;C,i&gt;ts]&#xD;
      WMR[&lt;C,i&gt;t&lt;C,i&gt;ts]&#xD;
      WMR[&lt;C,i&gt;ts&lt;C,i&gt;t'']&#xD;
      &#xD;
      Note: AER[  ] and WMR[  ] indicate conditional integration over "attached, exposed" and "well-mixed" region. Further information is provided in the header of each file.&#xD;
&#xD;
3) sfA_y120_kXXreXXX.vtk&#xD;
      VTK NAME:  corresponding quantity&#xD;
      p:         &lt;P&gt;t&#xD;
      s00:       &lt;C&gt;t&#xD;
      s01:       &lt;ux&gt;t''&#xD;
      s02:       &lt;uy&gt;t''&#xD;
      s03:       &lt;uz&gt;t''&#xD;
      s04:       &lt;P&gt;t''&#xD;
      s05:       &lt;C&gt;t''&#xD;
      s06:       &lt;Ox&gt;t''&lt;Ox&gt;t''&#xD;
      s07:       &lt;Oy&gt;t''&lt;Oy&gt;t''&#xD;
      s08:       &lt;Oz&gt;t''&lt;Oz&gt;t''&#xD;
      s09:       &lt;C,x&gt;t''&lt;C,x&gt;t''&#xD;
      s10:       &lt;C,y&gt;t''&lt;C,y&gt;t''&#xD;
      s11:       &lt;C,z&gt;t''&lt;C,z&gt;t''&#xD;
      s12:       &lt;Ox&gt;t''&#xD;
      s13:       &lt;Oy&gt;t''&#xD;
      s14:       &lt;Oz&gt;t''&#xD;
      s15:       &lt;C,x&gt;t''&#xD;
      s16:       &lt;C,y&gt;t''&#xD;
      s17:       &lt;C,z&gt;t''&#xD;
      s18:       &lt;Oy&gt;t&#xD;
      s19:       &lt;Oy&gt;ts&#xD;
      s20:       &lt;C,z&gt;t&#xD;
      s21:       &lt;C,z&gt;ts&#xD;
      s22:       &lt;Ux&gt;ts&#xD;
      s23:       &lt;C&gt;ts&#xD;
      vx:        &lt;Ux&gt;t&#xD;
      vy:        &lt;Uy&gt;t&#xD;
      vz:        &lt;Uz&gt;t&#xD;
      zwb:       wall-height of the bottom rough wall as a function of x.</dc:description>
   <dc:relation>https://publikationen.bibliothek.kit.edu/1000176870</dc:relation>
   <dc:format>application/x-tar</dc:format>
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