Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 199, Issue 25-28, Pages 1828-1840Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.02.010
Keywords
Navier-Stokes-Korteweg; Vaporization; Condensation; Phase-field; Isogeometric analysis
Funding
- Xunta de Galicia [09REM005118PR, 09MDS00718PR]
- Ministerio de Educacion y Ciencia [DPI2007-61214, DPI2009-14546-C02-01]
- FEDER
- Universidade do Coruna
- Office of Naval Research [N00014-08-1-0992]
- King Abdullah University of Science and Technology
- Texas Advanced Computing Center (TACC)
- Teragrid [MCA075032]
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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. (C) 2010 Elsevier B.V. All rights reserved.
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