摘要
采用变域变分原理,对以流函数描述的无粘流体流动的亚音速平面叶栅反设计问题进行了理论分析和有限元计算。由于变域变分能将未知形状的几何变量及控制方程结合在一个变分泛函中,使得数学描述简洁、紧凑,且几何变量及控制方程的求解能耦合地进行。采用变分有限元方法计算结果表明,该计算原理具有较高的精度,能获得较为满意的叶栅反设计的结果。
The Variable-domain variational FEM using stream function is used to design 2-D cascades. The free boundary condition is incorporated into the functionals of variational principles by variable domain variations, which makes it possible to determine numerically by finite elements both the flow field and unknown boundary shape simultaneously. The simulation shows that the method is reliable and applicable.
出处
《汽轮机技术》
北大核心
2006年第2期95-97,100,共4页
Turbine Technology
基金
国家自然科学基金项目(50136030)
关键词
平面叶栅反设计
变域变分原理
流函数
inverse design
variable-domain variational FEM
stream function
