Coupling Navier-stokes and Cahn-hilliard Equations in a Two-dimensional Annular flow Configuration

Philippe Vignal, Adel Sarmiento, Adriano Mauricio Cortes, Lisandro Dalcin, Victor M. Calo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

15 Scopus citations

Abstract

In this work, we present a novel isogeometric analysis discretization for the Navier-Stokes- Cahn-Hilliard equation, which uses divergence-conforming spaces. Basis functions generated with this method can have higher-order continuity, and allow to directly discretize the higher- order operators present in the equation. The discretization is implemented in PetIGA-MF, a high-performance framework for discrete differential forms. We present solutions in a two- dimensional annulus, and model spinodal decomposition under shear flow.
Original languageEnglish (US)
Title of host publicationProcedia Computer Science
PublisherElsevier BV
Pages934-943
Number of pages10
DOIs
StatePublished - Jun 1 2015

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