配置点谱方法求解推进剂供应管路瞬变流动

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瞬变流控制方程的Chebyshev配置点谱方法,通过将“超谱粘性项”引入控制方程,有效地消除了由于解的间断或大梯度变化引起的数值振荡.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法和有限元法求解的结果进行了分析比较,论证了Chebyshev配置点谱方法求解推进剂供应管路内流体瞬变流的可行性.

Solution of transient flow in propellant pipelines by Chebyshev spectral collocation method

A new fast and efficient algorithm, Chebyshev spectral collocation method （CSCM）, is introduced to solve the hyperbolic partial differential equations governing the transient flow in the propellant pipelines. The numerical oscillation caused by solving the discontinuous or big gradient change was effectively eliminated by adding the super spectral viscosity term into transient flow con- trol equations. Taking a uniform cross section pipe connecting the tank and valve as an example, the water hammer phenomenon, which appears when the pipe is closed, is calculated with the method. The simulation result under the corresponding water hammer pressure is offered and compared with the results obtained respectively from the characteristics method and finite element method. The feasi- bility of solving the transient flow in the propellant pipelines by CSCM is demonstrated.