Cahn-Hilliard Equation in Noise Reduction and Concentration-Dependent Heat Transfer

João Gabriel Piraine Bandeira; Gustavo Braz Kurz; Daniela Buske; Régis Sperotto de Quadros; Guilherme Jahnecke Weymar; Igor da Cunha Furtado

doi:10.4028/p-xb1GrB

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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 436Cahn-Hilliard Equation in Noise Reduction and...

Cahn-Hilliard Equation in Noise Reduction and Concentration-Dependent Heat Transfer

Abstract:

The Cahn-Hilliard equation, known for describing the evolution of interfaces in multicomponent systems, can also be employed to noise reduction in mathematical functions and concentration-dependent heat transfer simulations. This work presents a finite difference method discretization of the Cahn-Hilliard equation and explores its applications. For noise reduction, three different noisy functions are simulated, demonstrating effective recovery of original functions despite significant noise levels. In heat transfer simulations, three initial temperature distributions are explored with concentration-dependent thermal diffusivity. Results show that concentration significantly affects thermal diffusivity and heat propagation, leading to non-uniform temperature distributions. Comparative simulations without concentration influence highlight the distinct impact of concentration on thermal behavior. The study underscores a reliable approach to noise reduction and insight into concentration-dependent heat transfer dynamics.

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Periodical:

Defect and Diffusion Forum (Volume 436)

Pages:

127-136

DOI:

https://doi.org/10.4028/p-xb1GrB

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Online since:

September 2024

Authors:

João Gabriel Piraine Bandeira*, Gustavo Braz Kurz, Daniela Buske, Régis Sperotto de Quadros, Guilherme Jahnecke Weymar, Igor da Cunha Furtado

Keywords:

Cahn-Hilliard Equation, Finite Difference Method, Heat Transfer, Noise Reduction, Numerical Simulation, Phase-Field Models

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* - Corresponding Author

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