【摘要】 本篇论文中,通过引入两个标量辅助变量(SAV),为Cahn-Hilliard Magnetohydrodynamics系统提供了一个多标量辅助变量(MSAV)方案.该方案是线性的,完全解耦的,并在能量上无条件稳定.随后,本文给出了全解耦的详细实施过程.因此,在每个时间步长上,只需求解一系列带有常数系数的线性微分方程.随后,通过对一阶方案进行误差分析来验证方法的有效性.最后,进行了一些数值实验模拟来验证了系统的能量耗散和所提出方法的收敛性.更多还原

【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.更多还原