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.
翻译:我们为无法压缩的磁力动力系统(MHD)设计了一定的元素方法,精确地保护离散层的磁力和交叉热力、能源法和磁高定律。变量作为离散的差别形式在德赖姆综合体中分离。我们提出数字测试,以显示算法的性能。