Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Authors
- Li, Yibao; Lee, Hyun Geun; Xia, Binhu; Kim, Junseok
- Issue Date
- 3월-2016
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Cahn-Hilliard equation; Finite difference method; Fourth-order compact scheme; Multigrid; Adaptive mesh refinement
- Citation
- COMPUTER PHYSICS COMMUNICATIONS, v.200, pp.108 - 116
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTER PHYSICS COMMUNICATIONS
- Volume
- 200
- Start Page
- 108
- End Page
- 116
- ISSN
- 0010-4655
- Abstract
- This work extends the previous two-dimensional compact scheme for the Cahn-Hilliard equation (Lee et al., 2014) to three-dimensional space. The proposed scheme, derived by combining a compact formula and a linearly stabilized splitting scheme, has second-order accuracy in time and fourth-order accuracy in space. The discrete system is conservative and practically stable. We also implement the compact scheme in a three-dimensional adaptive mesh refinement framework. The resulting system of discrete equations is solved by using a multigrid. We demonstrate the performance of our proposed algorithm by several numerical experiments. (C) 2015 Elsevier B.V. All rights reserved.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.