19–22 May 2026
Europe/Paris timezone

Surrogate-Assisted Analysis of Pore-Geometry Effects on Free-Flow Porous-Medium Coupling Conditions

20 May 2026, 15:35
1h 30m
Poster Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes Poster

Speaker

Rebecca Kohlhaas

Description

Flow across interfaces between free-flow and porous media can be modeled using a broad spectrum of mathematical and numerical approaches.
These range from effective jump and transmission conditions, such as Beavers–Joseph-type coupling conditions, methods that infer interface properties from reference configurations, to higher-resolution descriptions that explicitly resolve the interface region using, for example, pore-network or micro-scale models.
While comparative studies of these approaches exist with respect to their applicability, accuracy and computational efficiency, they are often restricted to a narrow class of porous-media configurations.
In particular, the influence of surface properties and geometric features of the porous medium, known to play a critical role in governing interface processes, is frequently neglected in existing analyses.

We present an analysis of free-flow–porous-medium (FF–PM) interface conditions on a representative elementary volume (REV)–scale, with a focus on quantifying the influence of pore geometry and flow parameters on the coupling coefficients that govern the interface behavior.
Our study centers on the generalized interface conditions (GIC), which are applicable for arbitrary flow directions along the FF–PM interface and involve coupling coefficients obtained from solving reference stripe problems.
Specifically, we investigate how systematic variations in pore geometry and flow-related properties affect the GIC coupling coefficients obtained from the reference configurations.
The analysis is conducted in two stages. In this presentation we focus on the first stage, where we directly examine the sensitivity of the coupling coefficients to changes in pore-scale geometry and flow-related properties.
We additionally present first results of the second stage, in which we evaluate how these variations propagate to macroscopic predictions of pressure and velocity fields in coupled FF–PM systems.
To render the analysis computationally feasible for a broad spectrum of pore geometries, we accelerate the computation by approximating the calculated coupling coefficients with polynomial chaos–based surrogate models, where necessary.
The overall workflow is designed in a modular and extensible manner, enabling straightforward application to various porous media structures and alternative interface descriptions.

Country Germany
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Authors

Rebecca Kohlhaas Paula Strohbeck Johannes Müller Martin Schneider (University of Stuttgart) Iryna Rybak Bernd Flemisch

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