Email this article A Conservative Numerical Method for Solving the Cahn-Hilliard Equation
- Authors: Galeeva D.R.1, Kireev V.N.1, Kovaleva L.A.1, Musin A.A.1
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Affiliations:
- Ufa University of Science and Technology
- Issue: Vol 89, No 1 (2025)
- Pages: 136-148
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/303583
- DOI: https://doi.org/10.31857/S0032823525010101
- EDN: https://elibrary.ru/BNYENE
- ID: 303583
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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.
About the authors
D. R. Galeeva
Ufa University of Science and Technology
Author for correspondence.
Email: lara_wood@mail.ru
Russian Federation, Ufa
V. N. Kireev
Ufa University of Science and Technology
Email: lara_wood@mail.ru
Russian Federation, Ufa
L. A. Kovaleva
Ufa University of Science and Technology
Email: lara_wood@mail.ru
Russian Federation, Ufa
A. A. Musin
Ufa University of Science and Technology
Email: lara_wood@mail.ru
Russian Federation, Ufa
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