A conservative MHD scheme on unstructured Lagrangian grids for Z-pinch hydrodynamic simulations

作者：Wu, Fuyuan^*; Ramis, Rafael; Li, Zhenghong

来源：Journal of Computational Physics, 2018, 357: 206-229.

DOI：10.1016/j.jcp.2017.12.014

• Magnetohydrodynamics
• Z-pinch
• Inertial confinement fusion
• Lagrangian scheme

A new algorithm to model resistive magnetohydrodynamics (MHD) in Z-pinches has been developed. Two-dimensional axisymmetric geometry with azimuthal magnetic field B-theta is considered. Discretization is carried out using unstructured meshes made up of arbitrarily connected polygons. The algorithm is fully conservative for mass, momentum, and energy. Matter energy and magnetic energy are managed separately. The diffusion of magnetic field is solved using a derivative of the Symmetric-Semi-Implicit scheme, Livne et al. (1985) [23], where unconditional stability is obtained without needing to solve large sparse systems of equations. This MHD package has been integrated into the radiation-hydrodynamics code MULTI-2D, Ramis et al. (2009) [20], that includes hydrodynamics, laser energy deposition, heat conduction, and radiation transport. This setup allows to simulate Z-pinch configurations relevant for Inertial Confinement Fusion.

• 出版日期2018-3-15
• 单位中国工程物理研究院; 中国工程物理研究院核物理与化学研究所