Abstract: The 1-D RHD tri-temperature equations, which are critical to the numerical studies of x-ray emission caused by the collision between compact plasma toroid and ideal wall, are formulated and solved from the Lagrange viewpoint and by using the splitting scheme. The implicit method is adopted to solve the electron、ion and photon temperature equations, the splitting scheme is applied to separate the energy-exchange term from others, and then effects on temperatures are investigated.

Key words: Tri-temperature equation, Implicit difference, Splitting scheme, Compact plasma toroid, Energy exchange

摘要： 从Lagrange观点出发，采用分裂格式法求解一维辐射流体力学方程组中的三温方程，用于紧凑等离子体环与靶碰撞产生的X射线辐射的数值模拟研究。提出了求解电子、离子、辐射场三温相脱离的能量方程的隐式差分格式，介绍了能量交换项与压力做功及热传导项分开计算的分裂格式方法，数值模拟得到了其对温度变化的影响。

关键词: 三温方程, 隐式差分, 分裂格式, 紧凑等离子体环, 能量交换