三维拉氏理想磁流体数值模拟方法

3D Lagrangian Methods for Ideal Magnetohydrodynamics on Unstructured Meshes

在Z箍缩驱动ICF过程中,磁场流体耦合作用是其整个物理过程中非常重要的部分.针对Z箍缩过程中多介质、大变形的特点,发展了三维相容拉氏理想磁流体交错型以及单元中心型格式,两种格式均具有一阶时间与空间精度.通过数值算例,验证其精度和强壮性,并比较分析两种格式的特点.

Interaction between magnetic field and fluids is crucial in Z pinch process.Since Z pinch involves with multi materials and severe deformation,we develop 3 D compatible Lagrangian staggered and cell-centered schemes for ideal MHD on unstructured meshes.Both of the schemes are of first order in space and time discretization.Accuracy and robustness of the schemes are validated with typical numerical tests.