Generalised interface conditions for multi-dimensional inertial flows in fluid-porous systems

• Applicant: Privatdozentin Dr. Iryna Rybak
• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 490872182

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 that significantly restricts the amount of applications which can be accurately simulated. In the project, new generalised and computable macroscale models for multi-dimensional non-inertial and inertial flows in coupled single-phase fluid-porous systems will be developed, validated and analysed. The global dissipation and global well-posedness without restriction on the size of data for the resulting coupled problems with the generalised interface conditions will be proved. A thorough comparison study of the developed models and other models available in the literature will be done. Robust and efficient numerical methods for the derived problems will be developed and analysed. The generalised coupling conditions will be used to simulate several applications.

• DFG Programme: Research Grants
• International Connection: France
• Cooperation Partner: Professor Philippe Angot