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
travelling waves
Subject Headings (RSWK): Numerische Strömungssimulation
Poröser Stoff
Issue Date: 2020-12
Appears in Collections:Preprints der Fakultät für Mathematik
Schweizer, Ben Prof. Dr.

Files in This Item:
File Description SizeFormat 
Preprint 2020_05.pdfDNB674.87 kBAdobe PDFView/Open

This item is protected by original copyright

If no CC-License is given, pleas contact the the creator, if you want to use thre resource other than only read it.