NL repository
menu
검색
Library
Browse
Communities & Collections
By Date
Authors
Titles
Subject
My Repository
My Account
Receive email updates
Edit Profile
DSpace at EWHA
자연과학대학
수학전공
Journal papers
View : 519 Download: 0
Energy quadratization Runge-Kutta method for the modified phase field crystal equation
Title
Energy quadratization Runge-Kutta method for the modified phase field crystal equation
Authors
Shin J.
;
Lee H.G.
;
Lee J.-Y.
Ewha Authors
이준엽
SCOPUS Author ID
이준엽
Issue Date
2022
Journal Title
Modelling and Simulation in Materials Science and Engineering
ISSN
0965-0393
Citation
Modelling and Simulation in Materials Science and Engineering vol. 30, no. 2
Keywords
energy quadratization Runge-Kutta method
;
mass conservation
;
modified phase field crystal equation
;
unconditional energy stability
Publisher
IOP Publishing Ltd
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
In this paper, we propose high order and unconditionally energy stable methods for a modified phase field crystal equation by applying the strategy of the energy quadratization Runge-Kutta methods. We transform the original model into an equivalent system with auxiliary variables and quadratic free energy. The modified system preserves the laws of mass conservation and energy dissipation with the associated energy functional. We present rigorous proofs of the mass conservation and energy dissipation properties of the proposed numerical methods and present numerical experiments conducted to demonstrate their accuracy and energy stability. Finally, we compare long-term simulations using an indicator function to characterize the pattern formation. © 2022 IOP Publishing Ltd.
DOI
10.1088/1361-651X/ac466c
Appears in Collections:
자연과학대학
>
수학전공
>
Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML
Show full item record
Find@EWHA
트윗하기
BROWSE
Communities & Collections
By Date
Authors
Titles
Subject