TY - JOUR
T1 - The Cahn-Hilliard Equation with Generalized Mobilities in Complex Geometries
AU - Shin, Jaemin
AU - Choi, Yongho
AU - Kim, Junseok
N1 - Publisher Copyright:
© 2019 Jaemin Shin et al.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019
Y1 - 2019
N2 - In this study, we apply a finite difference scheme to solve the Cahn-Hilliard equation with generalized mobilities in complex geometries. This method is conservative and unconditionally gradient stable for all positive variable mobility functions and complex geometries. Herein, we present some numerical experiments to demonstrate the performance of this method. In particular, using the fact that variable mobility changes the growth rate of the phases, we employ space-dependent mobility to design a cylindrical biomedical scaffold with controlled porosity and pore size.
AB - In this study, we apply a finite difference scheme to solve the Cahn-Hilliard equation with generalized mobilities in complex geometries. This method is conservative and unconditionally gradient stable for all positive variable mobility functions and complex geometries. Herein, we present some numerical experiments to demonstrate the performance of this method. In particular, using the fact that variable mobility changes the growth rate of the phases, we employ space-dependent mobility to design a cylindrical biomedical scaffold with controlled porosity and pore size.
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U2 - 10.1155/2019/1710270
DO - 10.1155/2019/1710270
M3 - Article
AN - SCOPUS:85077718428
SN - 1024-123X
VL - 2019
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 1710270
ER -