本文在文献〔1,2〕的基础上,提出了能具体实现泛函变域变分的有限元新解法。该方法能自动地、准确地确定求解域的未知界面,使其作为解的一部分。以文献〔3〕中的径向式叶轮作为算例,进行了数值计算,求解出了满足界面条件的流场的速度和压力分布以及自由尾涡面的形状位置。计算结果与实验值吻合得较好。 Based on the literature [1, 2], this paper presents a new finite element method that can realize the variational variation of functional domain. This method automatically and accurately determines the unknown interface of the solution domain as part of the solution. Taking the radial impeller in reference [3] as an example, the numerical calculation was carried out to find out the velocity and pressure distribution of the flow field and the shape and position of the free wake vortex surface satisfying the interface conditions. The calculated results are in good agreement with the experimental data.