Abstract: A one-dimensional finite element solution for liquid transients in propellant feedlines composed of vessels and ducts was derived. The solution was based on the difference scheme of characteristics and combined with the merits of finite element method. The calculated results for the approximation of valve closure problems show good agreement with that obtained by method of characteristics. The pulse mode of a model thruster was simulated with this solution, and the results were reasonable.

Key words: Liquid propellant rocket engine;Propelant transfer;Unsteady flow;Method of characteristic;Finite element method

摘要： 将液路计算中偏微分方程模型化成有限阶数的常微分方程组 ,由一维液体瞬变管流方程的特征线差分格式 ,提出了一种计算管腔互联结构形式的液体推进剂供应管路中瞬变流的一维有限元方法 ,它兼有特征线方法的特点。数值计算表明对单根等截面圆管阀门关断问题的计算结果与特征线方法计算结果吻合。利用本文方法计算了一个模型发动机的脉冲工况动态过程 ,取得了很好的效果。

关键词: 液体推进剂火箭发动机;推进剂输送;非定常流;特征线法;有限元法