应用数学2025，Vol.38Issue(2)：348-371,24.
两相磁流体动力学扩散界面模型的MSAV格式的稳定性和误差分析
Error Analysis of MSAV Scheme for Two Phase Magnetohydrodynamic Diffuse Interface Model
摘要
Abstract
In this paper,we develop a multi-scalar auxiliary variables(MSAV)scheme for the Cahn-Hilliard Magnetohydrodynamics system by introducing two scalar auxiliary variables(SAV).This scheme is linear,fully decoupled and unconditionally stable in energy.Subsequently,we provide a detailed implementation procedure for full decoupling.Thus,at each time step,only a series of linear differential equations with constant coefficients need to be solved.To validate the effectiveness of our approach,we conduct an error analysis for this first-order scheme.Finally,some numerical experiments are provided to verify the energy dissipation of the system and the convergence of the proposed approach.关键词
Cahn-Hilliard Magnetohydrodynamics(CHMHD)系统/完全解耦/能量稳定性/误差分析Key words
Cahn-Hilliard Magnetohydrodynamics system/Fully decoupled/Stability in energy/Error analysis分类
数学引用本文复制引用
胡堃,王旦霞,张建文,贾宏恩..两相磁流体动力学扩散界面模型的MSAV格式的稳定性和误差分析[J].应用数学,2025,38(2):348-371,24.基金项目
Supported by Shanxi Scholarship Council of China(2021-029) （2021-029）
International Cooperation Base and Platform Project of Shanxi Province(202104041101019) （202104041101019）
Basic Research Plan of Shanxi Province(202203021211129) （202203021211129）
