Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration
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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.
Paper presented at International Conference On Computational Science, ICCS 2015: Computational Science at the Gates of Nature
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