Abstract: A new fast and efficient algorithm was introduced to solve the nonlinear, hyperbolic partial differential equations governing the unsteady flow of the propellant lines by Chebyshev super spectral viscosity (SSV) method. Compared with conventional spectral method, the method can stabilize the numerical oscillation, accelerate the convergence and improve the computational efficiency. The details of the method are presented with an illustration of the water hammer problem in a simple piping system (consised of a tank, a pipe and a valve). The results obtained from the Chebyshev super spectral viscosity method exhibit greater consistency with conventional water hammer calculations. In addition, Chebyshev super spectral viscosity method requires less computer calculation time with less numerical error, indicating that the method is more suitable to solve liquid transients in propellant lines. 

Key words: Liquid rocket engine; Propellant transfer; Chebyshev super spectral viscosity method; Numerical simulation

摘要： 基于一维管道瞬变流理论和数值谱方法,给出了求解推进剂供应系统管路内液体非定常流动控制方程的Chebyshev超谱粘性法。与常规谱方法相比,该方法有效地克服了由于解的间断或大梯度变化而发生的非物理振荡现象,而且在一定程度上加快了收敛速度,提高了计算效率。以一段两端分别连接贮箱和阀门的等截面圆直管为例,利用该方法对阀门关闭后管道内水击现象进行了计算,给出了相应的水击压力仿真结果,并分别与采用特征线方法和传统谱方法求得的结果进行了对比分析,验证了方法的正确性和优越性。

关键词: 液体火箭发动机;推进剂输送;超谱粘性法;数值模拟