New, more general interface conditions are required to couple free-flow and porous-medium systems since traditional coupling concepts provide reliable results for simplified cases only. Averaging theory is a powerful mathematical tool that can be applied to derive such conditions. The objectives of this project are to (i) derive new interface concepts for single- and multi-phase flow systems using averaging techniques, (ii) validate the newly developed interface conditions, and (iii) develop robust and efficient numerical methods for coupled flow problems.
Publications in Project A03
- Eggenweiler, E., & Rybak, I. (2020). Interface Conditions for Arbitrary Flows in Coupled Porous-Medium and Free-Flow Systems. In R. Klöfkorn, E. Keilegavlen, F. Radu, & J. Fuhrmann (Eds.), Finite Volumes for Complex Applications IX - Methods,Theoretical Aspects, Examples (Vol. 323, pp. 345--353). Springer International Publishing. https://doi.org/10.1007/978-3-030-43651-3_31
- Eggenweiler, Elissa, & Rybak, I. (2020). Unsuitability of the Beavers–Joseph interface condition for filtration problems. Journal of Fluid Mechanics, 892, A10. https://doi.org/DOI: 10.1017/jfm.2020.194