The Cahn–Hilliard Equation with Generalized Mobilities in Complex Geometries
Joint Authors
Shin, Jaemin
Kim, Junseok
Choi, Yongho
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Shin, Jaemin& Choi, Yongho& Kim, Junseok. 2019. The Cahn–Hilliard Equation with Generalized Mobilities in Complex Geometries. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1194486
Modern Language Association (MLA)
Shin, Jaemin…[et al.]. The Cahn–Hilliard Equation with Generalized Mobilities in Complex Geometries. Mathematical Problems in Engineering No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1194486
American Medical Association (AMA)
Shin, Jaemin& Choi, Yongho& Kim, Junseok. The Cahn–Hilliard Equation with Generalized Mobilities in Complex Geometries. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1194486
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194486