二维翼型亚临界定常流动的有限元计算

本文使用了曲四边形Ｈｅｒｍｉｔｅ等参元，通过变分有限元法，计算了二维翼型亚临界定常位势流动中的压力分布，数值计算结果与试验结果符合较好。文中还使用了有限元法中的局部线性化理论，插值出元素中心点密度去处理迭代过程中元素系数阵的计算，其结果与通常的有限元法计算相一致，但计算时间却大大减少了。

FEM ANALYSIS OF THE SUBCRITICAL STEADY TRANSONIC FLOW OF A 2D AIRFOIL

In this paper, in order to predict the surface pressure distribution on the 2D airfoil in condition of subcritical steady transonic flow, the variational FEM is used in the analysis in which curved quadrilateral Hemite isoparametric elements are used. Numerical results in the FEM analysis agree well with the experimental analysis.However,in the analysis, authors of this paper made accommodation such that the theory of local linearization in FEM is used that the interpolated density at the central point of an element is taken to calculate the local element coefficient matrix in the iterative process. In this way,numerical results are the same as those in the traditional FEM,yet the time of computation is greatly reduced.