二维磁驱动数值模拟程序MDSC2的验证与确认

为了对磁驱动实验提供高置信度的数值模拟，需要开展磁流体力学程序的验证与确认。采用人为解比较法、网格收敛性研究和与成熟程序比较等方法，对二维磁驱动数值模拟程序MDSC2进行了程序验证。数值模拟表明:MDSC2程序正确地表示了磁流体力学模型，其中热扩散、磁扩散的离散格式具有二阶收敛精度。采用与磁驱动实验相比较的方法，进行了MDSC2程序的确认。对聚龙一号装置上的PTS-061发次磁驱动单侧飞片发射和PTS-122发次磁驱动双侧飞片发射实验进行了模拟，模拟的飞片自由面速度与实验测量的飞片自由面速度相一致；对FP-1装置上的固体套筒实验进行了模拟，模拟的套筒内外半径与实验测量结果相一致。MDSC2程序能正确模拟磁驱动单侧飞片发射、磁驱动双侧飞片发射和磁驱动固体套筒等磁驱动实验。

Verification and validation of two dimensional magnetically driven simulation code MDSC2

Magneto-hydrodynamic (MHD) code has been widely used in the field of high current pulse technology, astrophysics and so on. Especially in recent years, with the rapid development of high pulse technology and magnetically driven experiments such as Z-pinch, magnetically driven flyer plate and magnetically driven quasi-isentropic/shock compression, experimental researchers and designers pay more and more attention to the correctness and reliability of MHD code. The verification and validation of the two dimensional magnetically driven simulation code MDSC2 is an important means to evaluate its correctness and reliability. In this paper, the MDSC2 code is verified by ways of comparison with artificial solutions, mesh convergence analysis and comparison with mature codes, and it is also validated by experiments, using magnetically driven one-sided flyer plate, magnetically driven two-sided flyer plates and magnetically driven solid liner. The numerical simulation shows that, the MDSC2 code not only correctly represents the MHD equations, but also can correctly simulate the magnetically driven experiments.