PoreLab lecture on mixed-dimension models for flow and transport processes in porous media with embedded tubular network systems

When: Wednesday 20 January, at 13:00 (Oslo time)

Where: online (see below)

Title : Mixed-dimension models for flow and transport processes in porous media with embedded tubular network systems

Speaker: Dr. Timo Koch

Affiliation: Researcher (Postdoctoral fellow), Universitetet i Oslo (UiO)

 

Abstract:

Porous media with embedded tubular network systems occur in several biological and technical applications,

such as perfusion of vascularised bio-tissue, root water and nutrient uptake, injection and extraction wells in hydrogeological reservoirs, or heat exchangers.

Accurate models for heat and mass transfer between network and embedding porous media are important to capture the relevant

transport properties of such systems. The fact that the tubular networks are thin is both a challenge and

an opportunity for designing efficient numerical schemes.

We present some theory and examples of mixed-dimension schemes, for which flow and transport is formulated in terms of one-dimensional PDEs on

the network centrelines coupled to three-dimensional PDEs the embedding porous medium domain.

Furthermore, we introduce a code framework for multi-domain simulations using the open-source porous media simulator DuMux (https://dumux.org/)

and apply it to simulate tracer transport in micro vessels in the brain and root water uptake.

 

 

Time: Jan 20, 2021 01:00 PM Oslo

 

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