【摘要】 本文首次使用了曲六面体带节点导数等参元,通过变分法,计算了三维机翼亚临界定常位势流中的压力分布,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计算相吻合,但计算时间却明显减少了。文章最后对有限元法的局部线性化理论和局部线性化的有限元法做了阐述。更多还原

【Abstract】 In this paper, coved hexahedral isoparmetric finite element with nodal derivatives is first used to predict surface distribution on the three - dimensional wing which are placed in subcritcal steady transonic flow by the varia-tional FEM. The numerical results are compared well with the experimental data. In addition, the special theory of local linearization of FEM is used, the interpolated density at the central point of an element is taken to calculate the local element coefficient matrix in each iterative process. The numerical results are the same as those of ordinary FEM, but the time required for the calculation is reduced in compare with those required by the former method. Finally, local linearization theory of FEM and local linearization FEM are discussed.更多还原