Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations

Handle URI:
http://hdl.handle.net/10754/561473
Title:
Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations
Authors:
Gomez, Hector; Hughes, Thomas Jr R; Nogueira, Xesús; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
This paper is devoted to the numerical simulation of the Navier-Stokes-Korteweg equations, a phase-field model for water/water-vapor two-phase flows. We develop a numerical formulation based on isogeometric analysis that permits straightforward treatment of the higher-order partial-differential operator that represents capillarity. We introduce a new refinement methodology that desensitizes the numerical solution to the computational mesh and achieves mesh invariant solutions. Finally, we present several numerical examples in two and three dimensions that illustrate the effectiveness and robustness of our approach. © 2010 Elsevier B.V.
KAUST Department:
Applied Mathematics and Computational Science Program; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Numerical Porous Media SRI Center (NumPor)
Publisher:
Elsevier BV
Journal:
Computer Methods in Applied Mechanics and Engineering
Issue Date:
May-2010
DOI:
10.1016/j.cma.2010.02.010
Type:
Article
ISSN:
00457825
Sponsors:
H. Gomez was partially supported by the J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences. H. Gomez and X. Nogueira gratefully acknowledge the funding provided by Xunta de Galicia (grants # 09REM005118PR and # 09MDS00718PR), Ministerio de Educacion y Ciencia (grants #DPI2007-61214 and #DPI2009-14546-C02-01) cofinanced with FEDER funds, and Universidade do Coruna. T.J.R. Hughes and V.M. Calo were partially supported by the Office of Naval Research under Contract Number N00014-08-1-0992. V.M. Calo was partially supported by a grant from King Abdullah University of Science and Technology under the KAUST-UT Austin Academic Excellence Agreement. We acknowledge the Texas Advanced Computing Center (TACC) and Teragrid, MCA075032, for the computational time.
Appears in Collections:
Articles; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorGomez, Hectoren
dc.contributor.authorHughes, Thomas Jr Ren
dc.contributor.authorNogueira, Xesúsen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-08-02T09:12:15Zen
dc.date.available2015-08-02T09:12:15Zen
dc.date.issued2010-05en
dc.identifier.issn00457825en
dc.identifier.doi10.1016/j.cma.2010.02.010en
dc.identifier.urihttp://hdl.handle.net/10754/561473en
dc.description.abstractThis paper is devoted to the numerical simulation of the Navier-Stokes-Korteweg equations, a phase-field model for water/water-vapor two-phase flows. We develop a numerical formulation based on isogeometric analysis that permits straightforward treatment of the higher-order partial-differential operator that represents capillarity. We introduce a new refinement methodology that desensitizes the numerical solution to the computational mesh and achieves mesh invariant solutions. Finally, we present several numerical examples in two and three dimensions that illustrate the effectiveness and robustness of our approach. © 2010 Elsevier B.V.en
dc.description.sponsorshipH. Gomez was partially supported by the J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences. H. Gomez and X. Nogueira gratefully acknowledge the funding provided by Xunta de Galicia (grants # 09REM005118PR and # 09MDS00718PR), Ministerio de Educacion y Ciencia (grants #DPI2007-61214 and #DPI2009-14546-C02-01) cofinanced with FEDER funds, and Universidade do Coruna. T.J.R. Hughes and V.M. Calo were partially supported by the Office of Naval Research under Contract Number N00014-08-1-0992. V.M. Calo was partially supported by a grant from King Abdullah University of Science and Technology under the KAUST-UT Austin Academic Excellence Agreement. We acknowledge the Texas Advanced Computing Center (TACC) and Teragrid, MCA075032, for the computational time.en
dc.publisherElsevier BVen
dc.subjectCondensationen
dc.subjectIsogeometric analysisen
dc.subjectNavier-Stokes-Kortewegen
dc.subjectPhase-fielden
dc.subjectVaporizationen
dc.titleIsogeometric analysis of the isothermal Navier-Stokes-Korteweg equationsen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalComputer Methods in Applied Mechanics and Engineeringen
dc.contributor.institutionGroup of Numerical Methods in Engineering, University of A Coruña, Department of Mathematical Methods, Campus de Elviña, s/n 15192, A Coruña, Spainen
dc.contributor.institutionInstitute for Computational Engineering and Sciences, The University of Texas at Austin, 1 University Station, C0200, 201 E. 24th Street, Austin TX 78712, United Statesen
kaust.authorCalo, Victor M.en
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