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本文在文[1]、[2]提供的矩函数变分原理基础上建立了任意旋成面叶栅A类、B类杂交气动命题的变分有限元解法。文中用有限元法对相应的变分原理进行离散,所得非线性代数方程组迭代求解。由解出的矩函数计算流场速度、压力与密度,最后通过积分获得叶片未知边界形状。本文给出的计算结果显示了杂交命题方法的有效性和灵活性,它可以直接用于叶片改型与设计工作。
Based on the variational principle of moment functions provided by [1] and [2], this paper establishes a variational finite element method for the aerodynamic propositions of class A and B hybrids on any spinneret cascade. In this paper, the corresponding variational principle is discretized by the finite element method, and the resulting nonlinear algebraic equations are iteratively solved. The flow field velocity, pressure and density are calculated by solving the moment function. Finally, the unknown boundary shape of the blade is obtained by integration. The computational results presented in this paper show the effectiveness and flexibility of the hybrid proposition method, which can be used directly in leaf modification and design work.