Travelling wave solutions for gravity fingering in porous media flows
Loading...
Date
2020-11-10
Journal Title
Journal ISSN
Volume Title
Publisher
Alternative Title(s)
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.
Description
Table of contents
Keywords
porous media, hysteresis, travelling waves
Subjects based on RSWK
Numerische Strömungssimulation, Poröser Stoff, Wanderwelle, Schwerkraft, Hysterese