简便精确的有限元后处理可视化算法研究

Research on simple and precise visual arithmetic for post-processing of finite element method

针对工程有限元大规模数据场的分析后处理,单纯基于计算机图形学建立的传统可视化算法在描述有限元数据真实分布规律上有所不足.在考虑有限元三维模型特点及等参单元插值特性的基础上,提出了一套完整的可视化核心处理手段,包括消隐处理、云图及等值线绘制等,并以VC++语言编制了程序.该算法适应有限元法的特点,采用局部单元坐标系统代替全局坐标系统,能更好地反映有限元模型中各特征量(位移、应力等)的实际分布规律,改善了传统方法的精度,使后处理可视化过程达到有限元分析的精度,提高了处理效率.

Since the drawing precision of the classical computer graphic techniques is not enough to suit the post-processing of the finite element method, an improved visual scheme is proposed based on the interpolation mechanism of isoparametric elements, mainly including algorithms of the hidden surface removal, nephogram and isograms. And the related codes in VC ++ are also developed. Having been implemented in local elemental coordinate system instead of in the global coordinate, the new modified visual algorithms of nephogram and isograms are proved to be much easier and better approaches for the post-processing of every kinematic and mechanical characteristic in finite element model, such as displacement and stress, which improve the drawing precision of the classical method and have high computational efficiency.