An adaptive finite element method for simulating surface tension with the gradient theory of fluid interfaces

Handle URI:
http://hdl.handle.net/10754/563276
Title:
An adaptive finite element method for simulating surface tension with the gradient theory of fluid interfaces
Authors:
Kou, Jisheng; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
The gradient theory for the surface tension of simple fluids and mixtures is rigorously analyzed based on mathematical theory. The finite element approximation of surface tension is developed and analyzed, and moreover, an adaptive finite element method based on a physical-based estimator is proposed and it can be coupled efficiently with Newton's method as well. The numerical tests are carried out both to verify the proposed theory and to demonstrate the efficiency of the proposed method. © 2013 Elsevier B.V. All rights reserved.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program
Publisher:
Elsevier BV
Journal:
Journal of Computational and Applied Mathematics
Issue Date:
Jan-2014
DOI:
10.1016/j.cam.2013.06.017
Type:
Article
ISSN:
03770427
Sponsors:
This work is support by the Key Project of Chinese Ministry of Education (No. 212109) and the Scientific and Technical Research Project of Hubei Provincial Department of Education (No. D20132701). The authors also cheerfully appreciate the generous support of the university research fund to the Computational Transport Phenomena Laboratory at KAUST.
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.accessioned2015-08-03T11:44:41Zen
dc.date.available2015-08-03T11:44:41Zen
dc.date.issued2014-01en
dc.identifier.issn03770427en
dc.identifier.doi10.1016/j.cam.2013.06.017en
dc.identifier.urihttp://hdl.handle.net/10754/563276en
dc.description.abstractThe gradient theory for the surface tension of simple fluids and mixtures is rigorously analyzed based on mathematical theory. The finite element approximation of surface tension is developed and analyzed, and moreover, an adaptive finite element method based on a physical-based estimator is proposed and it can be coupled efficiently with Newton's method as well. The numerical tests are carried out both to verify the proposed theory and to demonstrate the efficiency of the proposed method. © 2013 Elsevier B.V. All rights reserved.en
dc.description.sponsorshipThis work is support by the Key Project of Chinese Ministry of Education (No. 212109) and the Scientific and Technical Research Project of Hubei Provincial Department of Education (No. D20132701). The authors also cheerfully appreciate the generous support of the university research fund to the Computational Transport Phenomena Laboratory at KAUST.en
dc.publisherElsevier BVen
dc.subjectAdaptive finite element methoden
dc.subjectGradient theoryen
dc.subjectSurface tensionen
dc.titleAn adaptive finite element method for simulating surface tension with the gradient theory of fluid interfacesen
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.journalJournal of Computational and Applied Mathematicsen
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, Chinaen
kaust.authorSun, Shuyuen
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