Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/5495
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dc.contributor.authorZhang, Xiaoxianen
dc.contributor.authorBengough, A Glynen
dc.contributor.authorCrawford, John Wen
dc.contributor.authorYoung, Iainen
dc.date.accessioned2010-04-08T16:33:00Z
dc.date.issued2002en
dc.identifier.citationJournal of Hydrology, v.260, p. 75-87en
dc.identifier.issn0022-1694en
dc.identifier.urihttps://hdl.handle.net/1959.11/5495en
dc.description.abstractThe non-linear solvers in numerical solutions of water flow in variably saturated soils are prone to convergence difficulties. Many aspects can give rise to such difficulties and in this paper we address the gravity term and the prescribed-flux boundary in the Picard iteration. The problem of the gravity term in the Picard iteration is iteration-to-iteration oscillation as the gravity term is treated, by analogy with the time-step advance technique, 'explicitly' in the iteration. The proposed method for the gravity term is an improvement of the 'implicit' approach of Zhang and Ewen [Water Resour. Res. 36 (2000) 2777] by extending it to heterogeneous soil and approximating the inter-nodal hydraulic conductivity in the diffusive term and the gravity term with the same scheme. The prescribed-flux boundary in traditional methods also gives rise to iteration-to-iteration oscillation because there is no feedback to the flux in the solution at the new iteration. To reduce such oscillation, a new method is proposed to provide such a feedback to the flux. Comparison with traditional Picard and Newton iteration methods for a wide range of problems show that a combination of these two proposed methods greatly improves the stability and consequently the computational efficiency, making the use of small time step and/or under-relaxation solely for convergence unnecessary.en
dc.languageenen
dc.publisherElsevier BVen
dc.relation.ispartofJournal of Hydrologyen
dc.titleEfficient methods for solving water flow in variably saturated soils under prescribed flux infiltrationen
dc.typeJournal Articleen
dc.identifier.doi10.1016/S0022-1694(01)00598-4en
dc.subject.keywordsSoil Biologyen
dc.subject.keywordsTerrestrial Ecologyen
dc.subject.keywordsSoil Physicsen
dc.subject.keywordsSoil Sciencesen
local.contributor.firstnameXiaoxianen
local.contributor.firstnameA Glynen
local.contributor.firstnameJohn Wen
local.contributor.firstnameIainen
local.subject.for2008050399 Soil Sciences not elsewhere classifieden
local.subject.for2008060208 Terrestrial Ecologyen
local.subject.for2008050305 Soil Physicsen
local.subject.for2008050303 Soil Biologyen
local.subject.seo2008961402 Farmland, Arable Cropland and Permanent Cropland Soilsen
local.profile.schoolSchool of Environmental and Rural Scienceen
local.profile.emailiyoung4@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordune-20100226-121811en
local.publisher.placeThe Netherlandsen
local.format.startpage75en
local.format.endpage87en
local.peerreviewedYesen
local.identifier.volume260en
local.contributor.lastnameZhangen
local.contributor.lastnameBengoughen
local.contributor.lastnameCrawforden
local.contributor.lastnameYoungen
dc.identifier.staffune-id:iyoung4en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:5625en
dc.identifier.academiclevelAcademicen
local.title.maintitleEfficient methods for solving water flow in variably saturated soils under prescribed flux infiltrationen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.description.statisticsepubsVisitors: 391<br />Views: 419<br />Downloads: 0en
local.search.authorZhang, Xiaoxianen
local.search.authorBengough, A Glynen
local.search.authorCrawford, John Wen
local.search.authorYoung, Iainen
local.uneassociationUnknownen
local.year.published2002en
Appears in Collections:Journal Article
School of Environmental and Rural Science
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