二维高亚音速Laval喷管流场的有限元计算

本文使用了八节点曲四边形等参元，通过变分有限元法，对二维高亚音速Ｌａｖａｌ喷管位势流场进行了计算，结果是满意的，并和一维结果进行了对比。文中还使用了有限元法特有的局部线化理论，取单元中心点密度去处理迭代过程中单元系数阵的计算，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。

THE FINITE ELEMENT CALCULATION OF TWO DIMENSIONAL HIGH SUBSONIC FLOW FIELD IN A LAVAL NOZZLE

In this paper, the curved quadrilateral isoparametric element with eight nodes is used to calculate the two dimensional high subsonic potential flow field in a Laval nozzle by the variationai finite element method. Results of computation are satisfactory and are compared with the one dimensional calculation. In addition, the special theory of local linearization of the FEM is used, the interpolated density at the central point of an element is taken to calculate the coefficient matrix of the local element in the iterative process. The numerical results are the same as those by the ordinary FEM, but the time required for the calculation is largely reduced by comparison with those required by the former method.