Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations

Hector Gomez, Thomas Jr R Hughes, Xesús Nogueira, Victor M. Calo

Research output: Contribution to journalArticlepeer-review

149 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)1828-1840
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
Volume199
Issue number25-28
DOIs
StatePublished - May 2010

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Computational Mechanics
  • Computer Science Applications

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