Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Analysis-Seminar Augsburg-München


Professor Dr. Iuliu Sorin Pop
Universiteit Hasselt, Belgien

spricht am
Donnerstag, 23. November 2023
16:30 Uhr
Raum 2004 (L1)
über das Thema:

»Modelling, upscaling and simulation of dissolution and precipitation in a porous medium with an evolving pore-scale geometry«

Processes of the highest societal relevance, like soil salinization or the production of geothermal energy, involve precipitation and dissolution processes in porous media. Of particular interest is the situation when such processes lead to miro-structural changes at the scale of pores, due to, say, precipitation and dissolution. In this case, one encounters free boundaries separating the space available for flow from the solid, impermeable part in the medium. This can impact locally the fluid flow, and also affect Darcy scale properties like the medium porosity or its permeability. In this presentation, we discuss different approaches for modelling precipitation and dissolution in porous media. In particular, to avoid difficulties related to the micro-scale free boundaries, we adopt a phase-field pore-scale model. Employing formal homogenization, a two-scale phase-field model is derived, in which the pore-scale and the Darcy-scale model components are coupled through the cell problems providing the effective parameters. For the resulting model, we discuss an adaptive two-scale scheme. It involves iterations between the two scales, linear iterations for solving the nonlinear cell problems, an adaptive selection of the elements wherein the effective parameters are computed, and adaptive mesh refinement.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Malte Peter

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

[Impressum]      [Datenschutz],     Do 16-Nov-2023 15:11:07 MEZ