Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations

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

doi:10.1016/j.cma.2010.02.010

Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations

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

Research output: Contribution to journal › Article › peer-review

189 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 language	English (US)
Pages (from-to)	1828-1840
Number of pages	13
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	199
Issue number	25-28
DOIs	https://doi.org/10.1016/j.cma.2010.02.010
State	Published - May 2010

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.

ASJC Scopus subject areas

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

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title = "Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations",

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. {\textcopyright} 2010 Elsevier B.V.",

author = "Hector Gomez and Hughes, {Thomas Jr R} and Xes{\'u}s Nogueira and Calo, {Victor M.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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.",

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N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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.

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Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations

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