Porous media-free flow coupling


These lectures will be given by Professor Rainer Helmig from Stuttgart University. The aim of the lectures is to give an insight into the physical-mathematical and numerical modelling of coupled free flow and porous-media flow systems. The special challenges of the physical-mathematical modelling will be discussed.  Selected models will be used to illustrate how promising approaches can lead to incorrect results.

Key questions that will be addressed are:

  • What are the most important fields of application (from salt precipitation of fuel cells and bio-technology)?
  • What are the main challenges for modelling coupled porous media-free flow systems at interfaces on different scales?

Lecture I: Model concepts

  • Free-flow system
    • Laminar and turbulent flow
    • Boundary layer effects
  • Porous-media system
  • Introduction to different coupling concepts (pro and cons)

Lecture II: Coupling concept for mass, momentum and energy transfer

  • Coupling: porous media (Pore scale) – free flow
  • Coupling: porous media (REV-scale) – free flow

Lecture III: Numerical solution strategies

  • Free flow (staggered-grid FV-Method)
  • Porous media flow (box or FV-methods, cell-centred or MPFA)
  • What is the best coupling concept?
  • Discussion of different solution strategies

Lecture Notes

Lecture notes from part 1 and 2
Lecture notes from part 3
A note on interface conditions
A note on parameter changes