有限元法在管道水击计算中的应用探索

管道水击基本方程属于一阶双曲型偏微分方程,虽然目前水击主要采用特征线法进行计算,但有限元法也可以求解双曲型方程,据此尝试采用伽辽金加权余量法对管道水击进行有限元数值计算。根据管道水击的基本微分方程组,选取适当的速度、压力插值函数,建立管道水击的有限元模型,并通过实例分析,和特征线法相比较,证实有限元法在管道水击计算中是有应用前景的,有必要作进一步深入研究。

Application of FEM in Calculation of the Water Hammer in Pipeline

Basic equation of the water hammer in pipeline belongs to double - curve partial differential equation of first order. Although present water hammer is calculated primarily by MOC, yet FEM can find a solution to double - curve equation as well. This paper attempts to employ the Galerkin method to carry out FEM numerical calculation upon the water hammer in pipeline. Proper velocity and pressure insertion functions are selected in accordance with basic differential equations of the water hammer in pipeline so as to have FEM model of the water hammer in pipeline established. In addition, it is testified by case analysis and comparing with MOC that FEM has broad prospects of application in calculating the water hammer in pipeline. Therefore, it is necessary to conduct further research.