Modelling coupled density-dependent flow and solute transport with the differential quadrature method

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dc.contributor.authorCiftci, Emin
dc.date.accessioned2024-07-12T21:47:09Z
dc.date.available2024-07-12T21:47:09Z
dc.date.issued2017en_US
dc.departmentMaltepe Üniversitesien_US
dc.description.abstractThe salt water intrusion phenomenon endangering the groundwater sources, particularly in coastal aquifers, is modeled by the coupled density-dependent flow and solute transport equations. This study focuses on the solution of these interdependent equations by means of the polynomial based Differential Quadrature Method (DQM). The Lagrange interpolation polynomials were selected as basis functions to obtain weighting coefficients for approximating the spatial derivatives and the 4-stage, 4th order Strong Stability Preserving linear Runge Kutta (SSP-RK) algorithm was employed as the time integrator. Two well-known benchmark cases; Henry and Elder problems were examined to test the accuracy and the reliability of the proposed numerical model. Apart from these theoretical benchmark problems, the numerical model was tested with real experimental data from a laboratory-scale study in the literature. The DQM model was observed to provide stable and highly precise results regarding the current semi-analytical and numerical solution schemes.en_US
dc.identifier.doi10.1007/s12303-017-0009-5
dc.identifier.endpage817en_US
dc.identifier.issn1226-4806
dc.identifier.issn1598-7477
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85021227358en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage807en_US
dc.identifier.urihttps://dx.doi.org/10.1007/s12303-017-0009-5
dc.identifier.urihttps://hdl.handle.net/20.500.12415/8013
dc.identifier.volume21en_US
dc.identifier.wosWOS:000412334600013en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorCiftci, Emin
dc.language.isoenen_US
dc.publisherGEOLOGICAL SOCIETY KOREAen_US
dc.relation.ispartofGEOSCIENCES JOURNALen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKY01081
dc.subjectdifferential quadrature methoden_US
dc.subjectdensity-dependent flowen_US
dc.subjectsolute transporten_US
dc.subjectHenry problemen_US
dc.subjectElder problemen_US
dc.titleModelling coupled density-dependent flow and solute transport with the differential quadrature methoden_US
dc.typeArticle
dspace.entity.typePublication

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