Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/31851
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dc.contributor.authorIlliano, Davide-
dc.contributor.authorPOP, Sorin-
dc.contributor.authorRadu, Florin-
dc.date.accessioned2020-08-27T13:02:58Z-
dc.date.available2020-08-27T13:02:58Z-
dc.date.issued2021-
dc.date.submitted2020-08-24T09:20:07Z-
dc.identifier.citationCOMPUTATIONAL GEOSCIENCES, 25(2), p. 805-822-
dc.identifier.issn1420-0597-
dc.identifier.urihttp://hdl.handle.net/1942/31851-
dc.description.abstractIn this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three linearization techniques are discussed: the Newton method, the modified Picard, and the L-scheme. Based on these, monolithic and splitting schemes are proposed and their convergence is analyzed. The performance of these schemes is illustrated on five numerical examples. For these examples, the number of iterations and the condition numbers of the linear systems emerging in each iteration are presented.-
dc.description.abstractIn this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three linearization techniques are discussed: the Newton method, the modified Picard, and the L-scheme. Based on these, monolithic and splitting schemes are proposed and their convergence is analyzed. The performance of these schemes is illustrated on five numerical examples. For these examples, the number of iterations and the condition numbers of the linear systems emerging in each iteration are presented.-
dc.description.sponsorshipAcknowledgments Open Access funding provided by University of Bergen. We thank the members of the Sintef research group and in particular to Dr. Olav Moyner for the assistance with the implementation of the numerical examples in MRST, the toolbox based on MATLAB developed at Sintef itself. Funding information The research of D. Illiano was funded by VISTA, a collaboration between the Norwegian Academy of Science and Letters and Equinor, project number 6367, project name: adaptive model and solver simulation of enhanced oil recovery. The research of I.S. Pop was supported by the Research Foundation-Flanders (FWO), Belgium, through the Odysseus programme (project G0G1316N) and Equinor through the Akademia grant.-
dc.language.isoen-
dc.publisherSPRINGER-
dc.rightsThe Author(s) 2020 This article is licensed under a Creative Commons Attribution 4.0 International License,-
dc.subject.otherRichards equation-
dc.subject.otherReactive transport-
dc.subject.otherLinearization schemes-
dc.subject.otherL-scheme-
dc.subject.otherModified Picard-
dc.subject.otherNewton method-
dc.subject.otherSplitting solvers-
dc.titleIterative schemes for surfactant transport in porous media-
dc.typeJournal Contribution-
dc.identifier.epage822-
dc.identifier.issue2-
dc.identifier.spage805-
dc.identifier.volume25-
local.bibliographicCitation.jcatA1-
local.publisher.placeVAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1007/s10596-020-09949-2-
dc.identifier.isi000539935000001-
dc.identifier.eissn-
dc.identifier.eissn1573-1499-
local.provider.typePdf-
local.uhasselt.uhpubyes-
item.fullcitationIlliano, Davide; POP, Sorin & Radu, Florin (2021) Iterative schemes for surfactant transport in porous media. In: COMPUTATIONAL GEOSCIENCES, 25(2), p. 805-822.-
item.validationecoom 2022-
item.contributorIlliano, Davide-
item.contributorPOP, Sorin-
item.contributorRadu, Florin-
item.fulltextWith Fulltext-
item.accessRightsOpen Access-
crisitem.journal.issn1420-0597-
crisitem.journal.eissn1573-1499-
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