水击问题的Fourier谱方法计算

给出了推进剂供应系统管路内流体瞬变流动的数学模型，提出了采用Fourier谱方法求解瞬变流非线性偏微分方程的新方法。以一段两端分别连接贮箱和阀的直管道为例，利用该方法对阀门关闭后管道中形成的水击和压力振荡特性进行了求解，给出了相应的仿真结果，与已发表的采用特征线法和有限元法求解结果进行了比较。对数值计算中的非物理振荡问题进行了讨论。

Spectral-Fourier method for water hammer

The mathematical model of fluid transient inside propellant pipelines is introduced. A new algorithm is proposed to solve the nonlinear hyperbolic partial differential equations for gover- ning the fluid transient by spectral-Fourier method. The method is presented in detail with an illustra- tion of the water hammer in a simple piping system connecting tank and valve. The water hammer and pressure oscillation formed in the pipeline when its valve is suddenly shut down were solved with the method. The corresponding simulation results are given and compared with the results obtained by method of characteristics and finite element method issued previously. The high frequency oscillation problem in the numerical calculation is also discussed.