In this work, we consider a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. We propose some numerical methods to approximate the solution of the system which are based on suitable combinations of existing schemes for the single Cahn-Hilliard equation. As a verification for our experimental approach, we present some tests and a detailed description of the numerical solutions' behaviour obtained by varying the values of the system's characteristic parameters.
Numerical methods for a system of coupled Cahn-Hilliard equations / M. Martini, G.E. Sodini. - In: COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS. - ISSN 2038-0909. - 12:1(2021), pp. 1-12. [10.2478/caim-2021-0001]
Numerical methods for a system of coupled Cahn-Hilliard equations
M. Martini
Primo
;
2021
Abstract
In this work, we consider a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. We propose some numerical methods to approximate the solution of the system which are based on suitable combinations of existing schemes for the single Cahn-Hilliard equation. As a verification for our experimental approach, we present some tests and a detailed description of the numerical solutions' behaviour obtained by varying the values of the system's characteristic parameters.
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