磁流体力学方程组的二阶无条件稳定线性系综算法
Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations
摘要：
我们提出了两个无条件稳定的，线性集成算法与预计算共享系数矩阵在不同的实现磁流体力学方程。粘性项采用标准的摄动离散。在广义正辅助变量方法（GPAV）的框架内，非线性项被完全显式离散化。为了提高GPAV系综方法的精度，引入了修正动能的人工粘性稳定化。数值结果表明，集成算法的精度和鲁棒性。
英文摘要：
We propose two unconditionally stable, linear ensemble algorithms with pre-computable shared coefficient matrices across different realizations for the magnetohydrodynamics equations. The viscous terms are treated by a standard perturbative discretization. The nonlinear terms are discretized fully explicitly within the framework of the generalized positive auxiliary variable approach (GPAV). Artificial viscosity stabilization that modifies the kinetic energy is introduced to improve accuracy of the GPAV ensemble methods. Numerical results are presented to demonstrate the accuracy and robustness of the ensemble algorithms.
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