A Conservative Numerical Method for Solving the Cahn-Hilliard Equation

This paper presents a conservative numerical algorithm for solving the Cahn-Hillard equation. A method for linearizing the Cahn-Hillard equation is proposed, and a numerical scheme is constructed based on the control volume method. The implementation of the proposed numerical algorithm is described in detail. The conservativeness of the proposed discrete scheme is verified by numerical simulation. Numerical experiments were carried out.

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Publication Details

Journal
Прикладная математика и механика / Journal of Applied Mathematics and Mechanics
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034575825010101
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

A Conservative Numerical Method for Solving the Cahn-Hilliard Equation

D. R. Galeeva
Прикладная математика и механика / Journal of Applied Mathematics and Mechanics
Differential Equations and Numerical Methods
article

A Conservative Numerical Method for Solving the Cahn-Hilliard Equation

D. R. Galeeva
article en

Abstract

This paper presents a conservative numerical algorithm for solving the Cahn-Hillard equation. A method for linearizing the Cahn-Hillard equation is proposed, and a numerical scheme is constructed based on the control volume method. The implementation of the proposed numerical algorithm is described in detail. The conservativeness of the proposed discrete scheme is verified by numerical simulation. Numerical experiments were carried out.

Прикладная математика и механика / Journal of Applied Mathematics and MechanicsVol. 89(1)
Openalex Percentile: Top 61%
Differential Equations and Numerical Methods
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