The present data and the associated source code are freely available under the GNU GPL v3 licence, EXCEPT for the tex files in the folders IJHFF and IJHMT. Below are direct links to the different cases, followed by links to websites and publications related to the present work.

Direct access to data and associated source code

Imposed temperature case

The statistics are directly available in a xls file but it is recommended to visit the directory to obtain a more detailed description of the case.

Imposed heat flux case

The statistics are directly available in a xls file but it is recommended to visit the directory to obtain a more detailed description of the case.

Conjugate heat-transfer cases

The statistics are directly available in xls files but it is recommended to visit the associated directories to obtain a more detailed description of the cases:

• Cases with the same thermal properties in the fluid and solid domains:
  • Regular grid: xls file and repository
  • Regular grid with spectral vanishing viscosity on the scalar: xls file and repository
  • Finer grid: xls file and repository
• Cases with different thermal properties in the fluid and solid domains:
  • This repository contains the cases and their description.
  • xls file for $G=\frac{1}{2}$ and $G_2=\frac{1}{2}$
  • xls file for $G=\frac{1}{2}$ and $G_2=1$
  • xls file for $G=\frac{1}{2}$ and $G_2=2$
  • xls file for $G=1$ and $G_2=\frac{1}{2}$
  • xls file for $G=1$ and $G_2=2$
  • xls file for $G=2$ and $G_2=\frac{1}{2}$
  • xls file for $G=2$ and $G_2=1$
  • xls file for $G=2$ and $G_2=2$

Cases with a Robin boundary condition

The statistics are directly available in xls files but it is recommended to visit the associated directories to obtain a more detailed description of the cases:

• Robin case reproducing the case $K=\frac{1}{\sqrt{2}}$: xls file and repository
• Robin case reproducing the case $G=1$ and $G_2=1$: xls file and repository
• Robin case reproducing the case $K=\sqrt{2}$: xls file and repository

Data associated with our publication in International Journal of Heat and Fluid Flow

We have identified 2 minor typos in our publication in IJHFF:

• $G_2$ is said to be the ratio of fluid-to-solid thermal conductivities while it is the ratio of solid-to-fluid thermal conductivities. Anyway, this ratio is equal to one in the publication.
• After equation (14), the values given for $R$ are erroneous as they were obtained using the dissipation rate of the temperature variance, $\varepsilon_\theta$, which includes the Prandtl number. Both number given should be multiplied by $\sqrt{Pr} = \sqrt{0.71}$. The resulting values are close to $0.13$, not $0.16$.

The repository contains:

• All the python scripts used to generate the figures in the publication.
• The tex and bib files used to obtain the preprint of the publication.
• A jpg picture sketching the computational domain.
• Several xls and xlsx files containing our results. Most of them are only symbolic links.

Data associated with our publication in International Journal of Heat and Mass Transfer

The repository contains:

• All the python scripts used to generate the figures in the publication.
• The tex and bib files used to obtain the preprint of the publication.
• A jpg picture sketching the computational domain. It is a symbolic link to the one in IJHFF
• Several xls and xlsx files containing our results. Most of them are only symbolic links.

Bibliography

Our roots

The present source code was first downloaded from the website of Incompact3d the 2016-05-26 at 10:12 CEST = 08:12 UTC.

If using the software, you are kindly asked to cite:

• High-order compact schemes for incompressible flows: A simple and efficient method with quasi-spectral accuracy
• Incompact3d: A powerful tool to tackle turbulence problems with up to O(10⁵) computational cores

Preliminary work

Semi-implicit version of the code available here was originally implemented by T. Dairay:

• LES of a turbulent jet impinging on a heated wall using high-order numerical schemes
• Direct numerical simulation of a turbulent jet impinging on a heated wall
• Simulation haute fidélité de l’aérothermique d’un jet en impact

Our work

I have applied some modifications to the code during my PhD. All the publications associated with our work are available online:

• On the discontinuity of the dissipation rate associated with the temperature variance at the fluid-solid interface for cases with conjugate heat transfer.
• On the Discontinuity of $\varepsilon_\theta$ -the Dissipation Rate Associated with the Temperature Variance- at the Fluid-Solid Interface for Cases with Conjugate Heat Transfer.
• DNS of turbulent channel flow with conjugate heat transfer: Effect of thermal boundary conditions on the second moments and budgets.
• DNS of turbulent channel flow: can we imitate conjugate heat-transfer with a Robin boundary condition?
• Création de bases de données fines par simulation directe pour les effets de la turbulence sur les transferts thermiques pariétaux.

Remarks

There seems to be an issue with symbolic links. If you can not compile some cases, please check carefully each file and symbolic link.

TODO

The module for the statistics would probably look much better if a derived type was used.

Acknowledgements

The author and coworkers thank the French National Research Agency and EDF R&D for funding the study (CIFRE 2012/0047) and providing computational time on Zumbrota supercomputer (IBM - Blue-geneQ). We also thank Framasoft and the Institut Jozef Stefan for providing the gitlab services that host the present project at https://repo.ijs.si/CFLAG/incompact3d and https://framagit.org/CFLAG/incompact3d.