CAJ | 학술논문

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。
급출료추진제공응계통관로내류체순변류동적수학모형，제출료채용Fourier보방법구해순변류비선성편미분방정적신방법。이일단량단분별련접저상화벌적직관도위례，이용해방법대벌문관폐후관도중형성적수격화압력진탕특성진행료구해，급출료상응적방진결과，여이발표적채용특정선법화유한원법구해결과진행료비교。대수치계산중적비물리진탕문제진행료토론。
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.