TY - JOUR
T1 - Simulation of Copolymer Phase Separation in One-Dimensional Thin Liquid Films
AU - Hidenori Yasuda
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 - <p style="text-align: justify;">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.</p>