InterPore2026

Development and Validation of the One-Domain Approach for Two-Dimensional Flow in Partially Porous Systems

21 May 2026, 15:35

1h 30m

Poster Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes Poster

Speaker

Dr Roel Hernández Rodríguez (Politecnico di Milano)

Description

This work develops and validates the one-domain approach (ODA) to examine momentum transport of two-dimensional incompressible single-phase flows everywhere in a free flow/porous medium system, both in the homogeneous regions and inter-regions [1,2]. A key feature of this ODA is that it is based on generalized transport equations (GTEs) derived using the volume averaging method on the pore-scale equations [3,4]. Unlike other GTEs in the literature, this approach incorporates two Brinkman corrections and a Darcy term, employing a well-defined position-dependent porosity and permeability tensor. To assess the performance of the ODA, fluid flow is analyzed in three different systems that are partially filled with a porous medium: a lid-driven cavity, a rectangular channel, and a filtration rectangular cavity. The accuracy of the ODA is assessed by comparing the average profiles it generates with those derived from averaging pore-scale profiles obtained from pore-scale simulations (PSSs). The results indicate that the average velocity and pressure profiles calculated from the ODA solution align closely with those from the PSSs across the entire system, including the wall/porous medium, the porous medium/free-flow, and the free-flow/wall inter-regions. These findings hold true regardless of the flow’s driving force, flow direction, or the microstructure of the porous medium. Ultimately, the ODA derived from VAM can be applied to investigate one- and two-dimensional flows in various free-flow/porous medium systems [4].