Domain decomposition methods and reduced models for coupled porous and free flows in collaboration with Florent Chave, Nabil Birgle, Konstantin Brenner,
Yumeng Zhang and Laurent Trenty.
The objective of this project is to develop mathematical models, their discretizations and domain decomposition algorithms
to simulate the coupling of a 3D gas liquid non-isothermal compositional Darcy flow with a non-isothermal compositional gas free flow.
Different models are considered including full-dimensional coupling a 3D flow in the Darcy region with
a 3D flow in the free flow region, and reduced model coupling a 3D flow in the Darcy region with
a 1D flow in the free flow region.
- The targeted application is the drying by suction at the interface between the repository and the ventilation galery
in a nuclear waste deposit.
- It has been the subject of the PhD of Yumeng Zhang funded by Andra and of the postdoctoral project of Nabil Birgle funded by Andra.
- A new project in collaboration between Florent Chave, Roland Masson and Konstantin Brenner has started in october 2020. The objective is to extend the reduced models to account for networks of fractures in the porous region which requires non conforming meshes at the porous medium - free flow interface. The resulting models and schemes will be implemented in ComPASS. It is part of the Donut Eurad european project.
2D simulation of the non-isothermal gas liquid two component (air and H2O) Darcy flow coupled with the non-isothermal two component
RANS gas flow. The gas saturation is shown in the porous medium above and the relative humidity is shown in the free flow domain below. The temperature is shown in both domains with heat sources in the porous medium. The input velocity in the free flow domain is set to 0.001 m per s.
- 2D simulation of the gas liquid two component (air and H2O) Darcy flow coupled with the two component
RANS gas flow. The gas saturation is shown in the porous medium above and the H2O gas molar fraction is shown in the free flow domain below. The input velocity in the free flow domain is set to 0.5 m per s.