论文标题
不可压缩的MHD系统的螺旋保守元件离散化
Helicity-conservative finite element discretization for incompressible MHD systems
论文作者
论文摘要
我们为不可压缩的磁性水力动力学(MHD)系统构建有限元方法,该系统精确地保留了磁性和交叉螺旋,能量定律和磁性高斯在离散水平上。这些变量被离散为DE RHAM复合物中的离散差异形式。我们提出数值测试以显示算法的性能。
We construct finite element methods for the incompressible magnetohydrodynamics (MHD) system that precisely preserve magnetic and cross helicity, the energy law and the magnetic Gauss law at the discrete level. The variables are discretized as discrete differential forms in a de Rham complex. We present numerical tests to show the performance of the algorithm.