Conservative multigrid methods for ternary Cahn-Hilliard systems

Conservative Multigrid Methods for Cahn-Hilliard Fluids

We develop a conservative, second order accurate fully implicit discretization in two dimensions of the Navier-Stokes NS and Cahn-Hilliard CH system that has an associated discrete energy functional. This system provides a diffuse-interface description of binary fluid flows with compressible or incompressible flow components [44,4]. In this work, we focus on the case of flows containing two imm...

Multigrid Methods for a Biharmonic Problem with Boundary Conditions of the Cahn-Hilliard Type

We present multigrid methods for a biharmonic problem with boundary conditions of the Cahn-Hilliard type. These multigrid methods are based on discretizations obtained by a quadratic C interior penalty method. Since the finite element space is a standard space for second order problems, multigrid solves for second order problems can be used naturally in the smoothing steps. We will present theo...

Triple Junction Motion for Allen-Cahn/Cahn-Hilliard Systems

Long time asymptotics are developed here for an Allen-Cahn/Cahn-Hilliard system derived recently by Cahn & Novick-Cohen [11] as a di use interface model for simultaneous orderdisorder and phase separation. Proximity to a deep quench limit is assumed, and spatial scales are chosen to model Krzanowski instabilities in which droplets of a minor disordered phase bounded by interphase boundaries (IP...

Cascades of Spinodal Decompositions in the Ternary Cahn-hilliard Equations

The dynamics of the Cahn-Hilliard equations for a ternary alloy are studied during the phase separation process. The results show a primary spinodal decomposition followed by coarsening and then possibly a secondary spinodal decomposition.

On Cahn-hilliard Systems with Elasticity