Accurate contact angle boundary conditions for the Cahn-Hilliard equations

Hyun Geun Lee; Junseok Kim

doi:10.1016/j.compfluid.2010.12.031

Accurate contact angle boundary conditions for the Cahn-Hilliard equations

Hyun Geun Lee, Junseok Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

60 Citations (Scopus)

Abstract

The contact angle dynamics between a two-phase interface and a solid surface is important in physical interpretations, mathematical modeling, and numerical treatments. We present a novel formulation based on a characteristic interpolation for the contact angle boundary conditions for the Cahn-Hilliard equation. The new scheme inherits characteristic properties, such as the mass conservation, the total energy decrease, and the unconditionally gradient stability. We demonstrate the accuracy and robustness of the proposed contact angle boundary formulation with various numerical experiments. The numerical results indicate a potential usefulness of the proposed method for accurately calculating contact angle problems.

Original language	English
Pages (from-to)	178-186
Number of pages	9
Journal	Computers and Fluids
Volume	44
Issue number	1
DOIs	https://doi.org/10.1016/j.compfluid.2010.12.031
Publication status	Published - 2011 May

Bibliographical note

Funding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2008-C00044).

Keywords

Cahn-Hilliard equation
Contact angle
Nonlinear multigrid method
Unconditionally gradient stable scheme

ASJC Scopus subject areas

General Computer Science
General Engineering

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10.1016/j.compfluid.2010.12.031

Cite this

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abstract = "The contact angle dynamics between a two-phase interface and a solid surface is important in physical interpretations, mathematical modeling, and numerical treatments. We present a novel formulation based on a characteristic interpolation for the contact angle boundary conditions for the Cahn-Hilliard equation. The new scheme inherits characteristic properties, such as the mass conservation, the total energy decrease, and the unconditionally gradient stability. We demonstrate the accuracy and robustness of the proposed contact angle boundary formulation with various numerical experiments. The numerical results indicate a potential usefulness of the proposed method for accurately calculating contact angle problems.",

keywords = "Cahn-Hilliard equation, Contact angle, Nonlinear multigrid method, Unconditionally gradient stable scheme",

author = "Lee, {Hyun Geun} and Junseok Kim",

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AU - Kim, Junseok

N1 - Funding Information: This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2008-C00044).

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N2 - The contact angle dynamics between a two-phase interface and a solid surface is important in physical interpretations, mathematical modeling, and numerical treatments. We present a novel formulation based on a characteristic interpolation for the contact angle boundary conditions for the Cahn-Hilliard equation. The new scheme inherits characteristic properties, such as the mass conservation, the total energy decrease, and the unconditionally gradient stability. We demonstrate the accuracy and robustness of the proposed contact angle boundary formulation with various numerical experiments. The numerical results indicate a potential usefulness of the proposed method for accurately calculating contact angle problems.

AB - The contact angle dynamics between a two-phase interface and a solid surface is important in physical interpretations, mathematical modeling, and numerical treatments. We present a novel formulation based on a characteristic interpolation for the contact angle boundary conditions for the Cahn-Hilliard equation. The new scheme inherits characteristic properties, such as the mass conservation, the total energy decrease, and the unconditionally gradient stability. We demonstrate the accuracy and robustness of the proposed contact angle boundary formulation with various numerical experiments. The numerical results indicate a potential usefulness of the proposed method for accurately calculating contact angle problems.

KW - Cahn-Hilliard equation

KW - Contact angle

KW - Nonlinear multigrid method

KW - Unconditionally gradient stable scheme

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Accurate contact angle boundary conditions for the Cahn-Hilliard equations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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