CAHN-HILLIARD VS SINGULAR CAHN-HILLIARD EQUATIONS IN SIMULATIONS OF IMMISCIBLE BINARY FLUIDS | Zendy

Chen Lizhen | Zendy

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CAHN-HILLIARD VS SINGULAR CAHN-HILLIARD EQUATIONS IN SIMULATIONS OF IMMISCIBLE BINARY FLUIDS

Author(s) -

Chen Lizhen

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1050

Subject(s) - cahn–hilliard equation , binary number , diffusion , thermodynamics , mathematics , statistical physics , materials science , physics , mathematical analysis , partial differential equation , arithmetic

An efficient semi-implicit spectral method is implemented to solve the Cahn-Hilliard equation with a variable mobility in this paper. We compared the kinetics of bulk-diffusion-dominated and interface-diffusion-dominated coarsening in two-phase systems. As expected, the interface-diffusion-controlled coarsening evolves much slower. Also we find that the velocity field will be caused different greatly by using Singular Cahn-Hilliard equation and using Cahn-Hilliard in the simulation of immiscible binary fluids.

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