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Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration

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Authors
Vignal, P.
Sarmiento, A.
Côrtes, A.
Dalcin, L.
Calo, Victor
Date
2015
Type
Conference Paper

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Vignal, P. and Sarmiento, A. and Côrtes, A. and Dalcin, L. and Calo, V. 2015. Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration. Procedia Computer Science. 51: pp. 934-943.
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Procedia Computer Science
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Department of Applied Geology
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Paper presented at International Conference On Computational Science, ICCS 2015: Computational Science at the Gates of Nature

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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 higherorder 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 twodimensional annulus, and model spinodal decomposition under shear flow.

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