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Development of a Fluid–Structure Coupling Validated with a Confined Fire: Application to Painted Caves

  • Fabien SalmonEmail author
  • Delphine Lacanette
  • Jean-Christophe Mindeguia
  • Colette Sirieix
  • Axel Bellivier
  • Jean-Claude Leblanc
  • Catherine Ferrier
Article

Abstract

In 1994, three speleologists discovered the Chauvet–Pont d’Arc Cave, which contains singular thermal marks on walls deep in the cavity. These alterations arose from intense fires, and understanding their characteristics would help archaeologists suggest hypotheses about the function of such activities. In this context, three confined fires were conducted in a former underground quarry to reproduce thermo-alterations similar to those in the Chauvet–Pont d’Arc Cave and extract experimental data. Each fire involved approximately 135 kg of wood, which was continuously supplied by firemen for safety reasons (> 500°C) and burnt in the shape of a tepee 80 cm in diameter for 50 min. This paper presents the validation of a numerical model on this experimentation. The modelling requires coupling between the combustion and wall impact simulations. Thus, a link between the combustion code FireFOAM and the thermo-mechanical code Cast3m was created with Python scripts. The results from the simulation agree with the measurements and the observations. More specifically, the analysis is based on the temperatures, gas and particle concentrations, gas velocities, soot deposition, colour changes at the walls and areas likely to spall. These data were collected from thirty-seven measuring points covering the whole quarry. This validated tool will provide information about the features of the fires that occurred within the Chauvet–Pont d’Arc Cave.

Keywords

Fire dynamics Large eddy simulation OpenFOAM Thermo-mechanical coupling Cast3m Chauvet–Pont d’Arc Cave 

List of Symbols

\(a\)

Absorption coefficient (m−1)

\(c_{p}\)

Specific heat at constant pressure (J kg−1 K−1)

\(c_{v}\)

Specific heat at constant volume (J kg−1 K−1)

\(F\)

External force (N)

\(f\)

Friction factor

\(H\)

Total enthalpy (J kg−1)

\(H'\)

Height of the ceiling (m)

\(h\)

Convective heat transfer coefficient (W m−2 K−1)

\(I\)

Radiative intensity (W m−2)

\(k\)

Subgrid-scale kinetic energy (m2 s−2)

\(L\)

Characteristic length (m)

\(p\)

Pressure (Pa)

\(Q_{c}\)

Convective heat release rate (kW)

\(q_{r}\)

Radiative heat flux (W m−2)

\(q_{in}\)

Incident radiative heat flux (W m−2)

\(R\)

Ideal gas constant (J mol−1 K−1)

\(r\)

Specific gas constant (J kg−1 K−1)

\(r'\)

Radial distance from the fire center line (m)

\(s\)

Ray direction

\(S\)

Source term (W m−3)

\(S_{ij}\)

Strain rate (s−1)

\(sr\)

Stoichiometric coefficient of the oxidizer

\(T\)

Temperature (K)

\(u\)

Velocity (m s−1)

\(Y\)

Mass fraction

Greek Terms

\(\Delta\)

Filter size (m)

\(\epsilon\)

Emissivity

\(\epsilon_{t}\)

Subgrid-scale kinetic energy dissipation (m2 s−3)

\(\varepsilon_{r}\)

Error between simulation and experiment

\(\kappa_{eff}\)

Effective thermal diffusivity (m2 s−1)

\(\lambda\)

Thermal conductivity (W K−1 m−1)

\(\mu\)

Dynamic viscosity (kg m−1 s−1)

\(\mu_{eff}\)

Effective dynamic viscosity (kg m−1 s−1)

\(\nu\)

Stoichiometric coefficient

\(\nu_{t}\)

Turbulent viscosity (m2 s−1)

\(\rho\)

Density (kg m−3)

\(\sigma\)

Stefan–Boltzmann constant (W m−2 K−4)

\(\dot{\omega }_{k}\)

Chemical reaction rate (kg m−3 s−1)

Notes

Acknowledgements

We thank the Regional Council of Aquitaine and Nouvelle-Aquitaine for providing funding for the CarMoThap project and for their investment in a 432-processor cluster located in the I2M laboratory. The researches on the Chauvet–Pont d’Arc Cave have received specific financial help from the Ministry of Culture and Communication. We thank the LCPP staff (Laboratoire Centrale de la Préfecture de Police) for their help in providing the experimental instrumentation (velocity sensors, thermocouples, gas and particle concentration sensors). Furthermore, the following institutions have given support: CNRS, Bordeaux University, Bordeaux-INP and Bordeaux-Montaigne University. We thank C. Bouchet, the owner of the quarry in Fauroux (Lugasson) and M. Vidal for having made available scots pine, as well as the SDIS 33 staff for participation in the experiments of the CarMoThaP program. We also express our gratitude to M. Corbé, L. Bassel, M. Bosq, E. Florensan, J. Sabidussi and C. Verdet for their precious help packaging wood and for their involvement in the November 2016 experiments. This work was also performed using HPC resources from GENCI-CINES (Grant 2017-A0032B10268).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Université de Bordeaux, UMR CNRS 5295 I2MPessacFrance
  2. 2.Laboratoire Central de la Préfecture de PoliceParisFrance
  3. 3.Université de Toulouse, UMR CNRS 5608 TRACESToulouseFrance
  4. 4.Université de Bordeaux, UMR CNRS 5199 PACEAPessacFrance

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