Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier
- 주제(키워드) High-order time accuracy , Invariant energy quadratization , Mass conservation , Scalar auxiliary variable , Unconditional energy stability
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Elsevier Ltd
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000190373
- 본문언어 영어
- Published As https://doi.org/10.1016/j.aml.2022.108161
초록/요약
In this study, we present a high-order energy stable scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier by combining the concept of energy quadratization and the Runge–Kutta method. Under the stability condition for the Runge–Kutta coefficients, we analytically demonstrate that the scheme is unconditionally stable with respect to the reformulated energy. Additionally, we develop a Newton-type fixed point iteration method to implement the scheme, enabling the achievement of a fast iterative convergence. Numerical experiments are presented to demonstrate the accuracy and energy stability of the proposed scheme. © 2022 Elsevier Ltd
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