31 May 2021 to 4 June 2021
Europe/Berlin timezone

Coupling strategies for free flow with porous media -from single to two phase flow-

3 Jun 2021, 10:00
15m
Oral Presentation (MS24 - Invitation Only) Mathematical and computational challenges related to porous media - Special session in memory of Andro Mikelic MS24

Speaker

Rainer Helmig (University of Stuttgart)

Description

Exchange processes across a porous-medium free-flow interface occur in a wide range of environmental, technical and bio-mechanical systems. In the course of these processes, flow dynamics in the porous domain and in the free-flow domain exhibit strong coupling, often controlled by mechanisms at the common interfaces. Therefore, understanding the underlying processes is decisive. An example of such an environmental problem is soil-water evaporation. The challenge is how we can include scale-dependent, interface-driven processes into mathematical and numerical models for systems of coupled free flow and porous-medium flow.

Based on the excellent work of Andro Mikelic and his co-workers we will discuss the influence of different interfaces for modelling of the coupled systems. In this study, the existing coupling concept is first extended to turbulent free-flow conditions. This includes the interface conditions between a Reynolds-averaged Navier–Stokes free flow using k-omega SST model and a Darcy porous-medium flow. A sensitivity analysis of the evaporation rate and porous-medium quantities on different model setups, boundary conditions, Beavers–Joseph coefficients will be performed. Results demonstrate how turbulence affects the evaporation rate.

References

M. Schneider, K. Weishaupt, D. Gläser, W. M. Boon, and R. Helmig. Coupling staggered-grid andmpfa finite volume methods for free flow/porous-medium flow problems.J. Comput. Phys., 401, 2019.
E. Coltman, M. Lipp, A. Vescovini, and R. Helmig. Obstacles, interfacial forms, and turbulence: Anumerical analysis of soil–water evaporation across different interfaces.Transport in Porous Media,134(2):275–301, 2020.

Time Block Preference Time Block B (14:00-17:00 CET)
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Primary authors

Rainer Helmig (University of Stuttgart) Mr Edward (Ned) Coltman (University of Stuttgart) Martin Schneider (University of Stuttgart) Melanie Lipp

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