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

Lizhen Chen

doi:10.11948/2018.1050

2018 Volume 8 Issue 4

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Lizhen Chen. CAHN-HILLIARD VS SINGULAR CAHN-HILLIARD EQUATIONS IN SIMULATIONS OF IMMISCIBLE BINARY FLUIDS[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1050-1060. doi: 10.11948/2018.1050

Citation:

Lizhen Chen. CAHN-HILLIARD VS SINGULAR CAHN-HILLIARD EQUATIONS IN SIMULATIONS OF IMMISCIBLE BINARY FLUIDS[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1050-1060. doi: 10.11948/2018.1050

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

Lizhen Chen

Beijing Computational Science Research Center, Beijing 100193, China

Fund Project:

Abstract

Abstract

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.
- Cahn-Hilliard equations /
- singular /
- immiscible binary fluids
MSC: 65M06;65M12;65N30;65N35;76A05

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References

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