Upwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two-phase flow in porous media

Handle URI:
http://hdl.handle.net/10754/564889
Title:
Upwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two-phase flow in porous media
Authors:
Kou, Jisheng; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
Discontinuous Galerkin methods with interior penalties and upwind schemes are applied to the original formulation modeling incompressible two-phase flow in porous media with the capillary pressure. The pressure equation is obtained by summing the discretized conservation equations of two phases. This treatment is very different from the conventional approaches, and its great merit is that the mass conservations hold for both phases instead of only one phase in the conventional schemes. By constructing a new continuous map and using the fixed-point theorem, we prove the global existence of discrete solutions under the proper conditions, and furthermore, we obtain a priori hp error estimates of the pressures in L 2 (H 1) and the saturations in L ∞(L 2) and L 2 (H 1). © 2014 Wiley Periodicals, Inc.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program
Publisher:
Wiley-Blackwell
Journal:
Numerical Methods for Partial Differential Equations
Issue Date:
22-Mar-2014
DOI:
10.1002/num.21817
Type:
Article
ISSN:
0749159X
Sponsors:
Contract grant sponsor: National Natural Science Foundation of China; contract grant number: 11301163Contract grant sponsor: Key Project of Chinese Ministry of Education; contract grant number: 212109Contract grant sponsor: KAUST research fund
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorKou, Jishengen
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2015-08-04T07:24:13Zen
dc.date.available2015-08-04T07:24:13Zen
dc.date.issued2014-03-22en
dc.identifier.issn0749159Xen
dc.identifier.doi10.1002/num.21817en
dc.identifier.urihttp://hdl.handle.net/10754/564889en
dc.description.abstractDiscontinuous Galerkin methods with interior penalties and upwind schemes are applied to the original formulation modeling incompressible two-phase flow in porous media with the capillary pressure. The pressure equation is obtained by summing the discretized conservation equations of two phases. This treatment is very different from the conventional approaches, and its great merit is that the mass conservations hold for both phases instead of only one phase in the conventional schemes. By constructing a new continuous map and using the fixed-point theorem, we prove the global existence of discrete solutions under the proper conditions, and furthermore, we obtain a priori hp error estimates of the pressures in L 2 (H 1) and the saturations in L ∞(L 2) and L 2 (H 1). © 2014 Wiley Periodicals, Inc.en
dc.description.sponsorshipContract grant sponsor: National Natural Science Foundation of China; contract grant number: 11301163Contract grant sponsor: Key Project of Chinese Ministry of Education; contract grant number: 212109Contract grant sponsor: KAUST research funden
dc.publisherWiley-Blackwellen
dc.subjectdiscontinuous Galerkin methodsen
dc.subjecterror estimatesen
dc.subjectglobal existenceen
dc.subjectmass conservationen
dc.subjecttwo-phase flowen
dc.titleUpwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two-phase flow in porous mediaen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.identifier.journalNumerical Methods for Partial Differential Equationsen
dc.contributor.institutionHubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R Chinaen
dc.contributor.institutionXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R Chinaen
kaust.authorSun, Shuyuen
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