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用时间相关的半隐格式有限差分数值方法求解了化学非平衡反应跨音速喷管流场，在喷管收敛段，流动接近化学平衡状态，控制方程的刚性问题严重，数值积分困难。通过对时间差分项隐式离散、对空间差分项显式离散，流场边界采用参考平面上的特征线法计算等，成功地解决了由于化学反应有限速率带来的数值解不稳定问题。该格式简单、需要计算机存贮空间少。本文完成了一维和轴对称非平衡化学反应喷管流动计算，并与化学平衡流和冻结流的计算结果做了比较。
The time-dependent semi-implicit finite difference numerical method is used to solve the transonic flow field of chemical non-equilibrium reaction. In the convergent section of the nozzle, the flow is close to the chemical equilibrium state. The rigidity of the control equation is serious and the numerical integration is difficult. The numerical solution instability problem caused by the finite rate of chemical reaction is successfully solved by implicitly discretizing the time difference items, explicit discretization of the space difference items, and the flow field boundary calculation by the characteristic line method on the reference plane. The format is simple, requires less computer storage space. In this paper, one-dimensional and axisymmetric non-equilibrium chemical reaction nozzle flow calculation is completed, and compared with the chemical equilibrium flow and frozen flow calculation results.