应用变域变分原理与有限元法求解泵喷射推进器外流场

本文对泵喷射推进器外流场建立了变域变分原理并用有限元求离散解。文中考虑了不可压缩理想流体的轴对称有旋流动，它同泵内部流场的衔接，其间的交界面（自由尾涡面）的确定以及轴心尾部分离区边界，通过变域变分工具和自动变形有限元解决。提出了应用系外壳后缘Kutta条件来合理而准确地决定泵流量的原则和方法。

A VARIABLE DOMAIN VARIATIONAL FINITE ELEMENT ANALYSIS OF FLOW AROUND PUMPJET

In this paper, a variational principle for external flow around pump jet is derived andon the basis there of the finite element method is employed to calculate the flow around thepropeller. In the method, the flow is regarded as inviscid incompressible rotational and axisymmetric, and the matching of the flows outside and inside the pumpjet is allowed.Great advantage has been taken of the functional variation with variable domain in capturing all unknown discontinuitics such as free vortex sheets and the separation boundary atthe reat part of the propeller. For numerical realization of the variable domain variation, aspecial finite element scheme with self-adjusting nodes is incorporated herein. The Kuttacondition at the trailing edge of the pump duct is taken to determine the flow rate throughthe pumpjet.