Autor(en): | Mitra, Koondanibha Schweizer, Ben Rätz, Andreas |
Titel: | Travelling wave solutions for gravity fingering in porous media flows |
Sprache (ISO): | en |
Zusammenfassung: | We study an imbibition problem for porous media. When a wetted layer is above a dry medium, gravity leads to the propagation of the water downwards into the medium. In experiments, the occurence of fingers was observed, a phenomenon that can be described with models that include hysteresis. In the present paper we describe a single finger in a moving frame and set up a free boundary problem to describe the shape and the motion of one finger that propagates with a constant speed. We show the existence of solutions to the travelling wave problem and investigate the system numerically. |
Schlagwörter: | porous media hysteresis travelling waves |
Schlagwörter (RSWK): | Numerische Strömungssimulation Poröser Stoff Wanderwelle Schwerkraft Hysterese |
URI: | http://hdl.handle.net/2003/39997 http://dx.doi.org/10.17877/DE290R-21880 |
Erscheinungsdatum: | 2020-12 |
Enthalten in den Sammlungen: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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Preprint 2020_05.pdf | DNB | 674.87 kB | Adobe PDF | Öffnen/Anzeigen |
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