关键词: 充填过程；高阶有限差分方法；频率相关摩擦；数值模拟

Abstract: Priming behaviors in propellant feed system are crucial for the control of start-up of engine. However，due to the complexity of the feedline network，it is natural to choose weighted essentially non-oscillatory (WENO) schemes in terms of boundary coordination，numerical accuracy and stability. In order to capture the transients of filling process and deal with the moving boundary，the one-dimensional transient flow governing equations are transformed and rewritten to get hyperbolic governing equations with source terms，so that the high order finite different Roe-type WENO scheme based on characteristic elements is applied to solve the new one-dimensional transient flow hyperbolic governing equations with source term. Based on steady friction model，WENO schemes and explicit method of characteristic (MOC) are carried out to calculate the transients of priming process in a simple purging system with purged gas. Thereafter，the solution of WENO are demonstrated by compared with that of MOC，the results indicate WENO schemes produce better results with less dissipation. Moreover，the effects of friction model on transient behavior of priming process were obtained by WENO scheme，and frequency-dependent model has significant effect on the damping of the pressure. Besides，the effects of filling media，friction factor，frequency-dependant friction and polytropic exponent on priming behaviors were obtained，the results illustrate that friction model and polytropic exponent have obvious effect on the attenuation and the maximum pressure of water hammer pressure in the purging process.

Key words: Priming process；High order finite different method；Frequency-dependent friction；Numerical simulation