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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。
Based on the one - dimensional transient flow theory and numerical spectrum method, the Chebyshev supersolution viscous method for solving the unsteady liquid flow equation in the pipeline of propellant supply system is given. Compared with the conventional spectral method, this method can effectively overcome the non-physical oscillation phenomenon caused by discontinuous or large gradient of solution, and to a certain extent, speed up the convergence rate and improve the computational efficiency. Taking a section of circular straight pipe of equal cross-section connecting the tank and the valve respectively as an example, the water hammer phenomenon in the pipe after the valve is closed is calculated by using the method, and the corresponding simulation results of the water hammer pressure are given. The comparison between the characteristic line method and the traditional spectral method results shows the correctness and superiority of the method.