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).