Travelling wave solutions for gravity fingering in porous media flows

dc.contributor.author	Mitra, Koondanibha
dc.contributor.author	Schweizer, Ben
dc.contributor.author	Rätz, Andreas
dc.date.accessioned	2021-01-18T16:22:16Z
dc.date.available	2021-01-18T16:22:16Z
dc.date.issued	2020-11-10
dc.description.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.	en
dc.identifier.uri	http://hdl.handle.net/2003/39997
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-21880
dc.language.iso	en
dc.relation.ispartofseries	Preprints der Fakultät für Mathematik;2020-05
dc.subject	porous media	en
dc.subject	hysteresis	en
dc.subject	travelling waves	en
dc.subject.ddc	610
dc.subject.rswk	Numerische Strömungssimulation	de
dc.subject.rswk	Poröser Stoff	de
dc.subject.rswk	Wanderwelle	de
dc.subject.rswk	Schwerkraft	de
dc.subject.rswk	Hysterese	de
dc.title	Travelling wave solutions for gravity fingering in porous media flows	en
dc.type	Text	de
dc.type.publicationtype	preprint	en
dcterms.accessRights	open access
eldorado.dnb.deposit	true	de
eldorado.secondarypublication	false

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