基于广义能量法的截面曲线光顺

对于气动流形曲面,除了满足对原始数据的逼近精度要求之外,通常还要求曲面具有较高的光顺性能。笔者在综合分析现有光顺方法不足的基础上,提出了同时考虑曲面几何及物理等多项光顺准则的基于广义能量法的曲面整体光顺思路,建立了包含曲面截线族粗光顺、曲面精光顺两个步骤的曲面光顺方法。这种方法对于提高曲面的整体光顺性能具有良好的效果。

Algorithm of Surface Sectional Curves Smoothing Based on Extended Energy Minimization

For the aerodynamics surfaces, good smoothness is usually required in addition to the approximate precision. New smoothing criterions both in geometry and in physics have been fully considered to avoid the shortcoming of the existing algorithms. Then several algorithms that include sectional curves smoothing firstly and surface smoothing finally have been constructed. Because the in this idea, the smoothed complex surface would have good quality.