TY - JOUR T1 - Simulation of Copolymer Phase Separation in One-Dimensional Thin Liquid Films JO - East Asian Journal on Applied Mathematics VL - 1 SP - 33 EP - 46 PY - 2018 DA - 2018/02 SN - 2 DO - http://doi.org/10.4208/eajam.050911.240112a UR - https://global-sci.org/intro/article_detail/eajam/10865.html KW - Phase separation, shallow water equations, copolymer, lamellar pattern. AB -

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.