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摘要: 叙述一维辐射磁流体力学方程组（三温）的数值模拟，用于电磁内爆X射线计算。动量方程、三温方程组采用分裂法求解，以克服强耦合非线性可能引起的数值不稳定性。采用隐式差分格式避免小时间步长限制。隐式格式采用Newton-Raphson法迭代求解。使用了分层网格、加权平均，迭代初值公式，自动调整时间步长，奇点处理等特殊处理方法。最后给出Pegasus l装置一个实验模型的计算结果，获得15 J的X射线能量，峰值功率为16 GW。Abstract: The paper describes one-dimensional simulation of radiation magneto-hydrodynamics (RMHD) (3T) for X-ray calculation of electro-magnetic implosion. The set of RMHD equations is solved with use of split tricks to avoid possible numerical instabilities due to much coupling in solving the set of highly nonlinear equations. Implicit algorithm is used to avoid small time step limitations. Newton-Raphson iteration is used to solve the set of linear algebra equations. Some special algorithms are used such as average with weight; initial value formula for iteration; setting of virtual mesh as well as automatically adjusting of time step and so on. Finally, the paper presents a computer result of an experimental model from Pegasus 1, which gets X-ray energy 15 J and power 16 GW.
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