带源项的跨音速粘性流场的数值模拟方法

利用AF方法及采用系数分裂技术的全稳式TVD格式对带源型项的跨音速粘性流场进行了统计，获得了较好的计算效果。TVD格式与AF格式相比，需以较大的计算量为代价，分析了源项对计算收敛的影响，源项隐式或显式处理对收敛速度基本无影响，但是源项的显式处理会带来时间步长的减小，在此基础上，对JPL喷管内的两相流进行了数值模拟。

Numerical simulation of transonic viscous flow with source term

The implicit approximate factorization (AF) scheme and the implicit TVD scheme, in which the Jacobian matrix splitting technique was adopted, were used to simulate the transonic flow field with source term. The results show that compared with the AF scheme, the TVD scheme has better perfomances in the shock wave resolution, but at the cost of longer CPU time. The influence of the source terms on the convergence of computation process was analyzed. It was found that the explicit treatment of source terms has no significant influence on the numerical convergence, but makes the time step diminishing. On this basis, the two phase flow in the JPL nozzle was numerically simulated.