• Login
    View Item 
    •   Home
    • Research
    • Articles
    • View Item
    •   Home
    • Research
    • Articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguidePlumX LibguideSubmit an Item

    Statistics

    Display statistics

    Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Type
    Article
    Authors
    Gomez, Hector
    Hughes, Thomas Jr R
    Nogueira, Xesús
    Calo, Victor M. cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Earth Science and Engineering Program
    Environmental Science and Engineering Program
    Numerical Porous Media SRI Center (NumPor)
    Physical Science and Engineering (PSE) Division
    Date
    2010-05
    Permanent link to this record
    http://hdl.handle.net/10754/561473
    
    Metadata
    Show full item record
    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.
    Citation
    Gomez, H., Hughes, T. J. R., Nogueira, X., & Calo, V. M. (2010). Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations. Computer Methods in Applied Mechanics and Engineering, 199(25-28), 1828–1840. doi:10.1016/j.cma.2010.02.010
    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.
    Publisher
    Elsevier BV
    Journal
    Computer Methods in Applied Mechanics and Engineering
    DOI
    10.1016/j.cma.2010.02.010
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cma.2010.02.010
    Scopus Count
    Collections
    Articles; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

    entitlement

     
    DSpace software copyright © 2002-2021  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.