Hierarchy of consistent n-component Cahn-Hilliard systemsReport as inadecuate




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1 I2M - Institut de Mathématiques de Marseille 2 JAD - Laboratoire Jean Alexandre Dieudonné 3 CASTOR - Control, Analysis and Simulations for TOkamak Research CRISAM - Inria Sophia Antipolis - Méditerranée

Abstract : In this paper, we propose a new generalization of the well-known Cahn-Hilliard two-phase model for the modelling of n-phase mixtures. The model is derived using the consistency principle: we require that our n-phase model exactly coincide with the classical two-phase model when only two phases are present in the system. We give conditions for the model to be well-posed. We also present numerical results including simulations obtained when coupling the Cahn-Hilliard system with the Navier-Stokes so as to obtain a phase-field model for multiphase flows to illustre the capability of such modelling.





Author: Franck Boyer - Sebastian Minjeaud -

Source: https://hal.archives-ouvertes.fr/



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