Convex Splitting Runge-Kutta methods for phase-field models
- 주제(키워드) Convex splitting , Implicit-explicit Runge-Kutta , Allen-Cahn equation , Cahn-Hilliard equation , Phase-field crystal equation
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 PERGAMON-ELSEVIER SCIENCE LTD
- 발행년도 2017
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000144751
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.camwa.2017.04.004
초록/요약
In this paper, we present the Convex Splitting Runge Kutta (CSRK) methods which provide a simple unified framework to solve phase-field models such as the Allen Cahn, Cahn Hilliard, and phase-field crystal equations. The core idea of the CSRK methods is the combination of convex splitting methods and multi-stage implicit explicit Runge Kutta methods. Our CSRK methods are high-order accurate in time and we investigate the energy stability numerically. We present numerical experiments to show the accuracy and efficiency of the proposed methods up to the third-order accuracy. (C) 2017 Elsevier Ltd. All rights reserved.
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