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

181 Scopus citations


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
Issue number25-28
StatePublished - May 2010

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Mechanics of Materials
  • Mechanical Engineering
  • Computational Mechanics
  • Computer Science Applications


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