Year: 2012
East Asian Journal on Applied Mathematics, Vol. 2 (2012), Iss. 1 : pp. 33–46
Abstract
This paper discusses the development of an invariant finite difference scheme to simulate the microphase separation of copolymers in one-dimensional thin liquid films. The film phenomena are modelled using two-phase shallow water equations and the Ohta–Kawasaki potential, which governs the phase separation of the copolymer. Non-positive volume fractions and spurious oscillations are eventually eliminated, in simulating the one-dimensional phase separation lamellar pattern.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.050911.240112a
East Asian Journal on Applied Mathematics, Vol. 2 (2012), Iss. 1 : pp. 33–46
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Phase separation shallow water equations copolymer lamellar pattern.