Project FLUPOR

"Generalised interface conditions for multi-dimensional inertial flows in fluid-porous systems" funded by the French National Research Agency (ANR-PRCI, identification number ANR-21-CE40-0018) and the German Research Foundation (DFG, project number 490872182)

Principal investigators

Prof. Philippe Angot
Aix-Marseille University
Priv.-Doz. Dr. Iryna Rybak
University of Stuttgart

About the Project

Coupled fluid-porous flow problems appear in a wide range of environmental settings and industrial applications. However, existing interface conditions are mainly limited to one-dimensional non-inertial flows, which significantly restricts the amounts of applications that can be accurately modelled.

The project focuses on the development of generalised interface conditions valid for multi-dimensional (arbitrary flow directions)
inertial flows in coupled free-fluid and porous-medium systems and on the mathematical analysis of the resulting coupled flow models.
The main objectives are

  • to develop computable macroscale models for non-inertial and inertial flows in coupled single-phase fluid-porous systems with arbitrary flow directions;
  • to validate the developed models numerically via comparison of macroscale simulation results to pore-scale resolved models;
  • to prove the global well-posedness for the coupled steady and unsteady models;
  • to develop and analyse (convergence and error estimates) robust and efficient numerical methods for coupled inertial flow problems;
  • to conduct a thorough comparison study of the developed models and other models available in the literature;
  • to apply the derived generalised coupling conditions to several applications (geothermal problems, soil liquefaction, fluid flows in fractured media).

Contact Us

This image shows Elissa Eggenweiler

Elissa Eggenweiler

Dr. rer. nat.

Postdoctoral researcher

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