Authors: Mitra, Koondanibha
Schweizer, Ben
Rätz, Andreas
Title: Travelling wave solutions for gravity fingering in porous media flows
Language (ISO): en
Abstract: 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.
Subject Headings: porous media
hysteresis
travelling waves
Subject Headings (RSWK): Numerische Strömungssimulation
Poröser Stoff
Wanderwelle
Schwerkraft
Hysterese
URI: http://hdl.handle.net/2003/39997
http://dx.doi.org/10.17877/DE290R-21880
Issue Date: 2020-12
Appears in Collections:Preprints der Fakultät für Mathematik
Schweizer, Ben Prof. Dr.

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