绘制二维单元等值线的一种简单方法  

Simple method for contour plotting of plane finite elements

作　　者：刘永军[1] 姚斌[1] 

机构地区：[1]中国科学技术大学火灾科学国家重点实验室

出　　处：《计算机工程与应用》2008年第30期62-63,95,共3页Computer Engineering and Applications

基　　金：火灾科学国家重点实验室开放基金No.HZ2006-KF05;建设部科学研究项目No.06-k3-05~~

摘　　要：等值线是二维标量场可视化的一种主要手段,提出一种画二维单元等值线的简单方法。首先把母元等分成4个子块,然后利用子块顶点的自然坐标和单元的形函数,求出实际单元中对应子块的顶点温度,利用子块顶点温度判断是否有等值线通过。对于有等值线通过的子块,求出其包围盒的尺寸,如果小于等于一个像素,则把对应的像素设置为相应的颜色,否则,在母元中把子块继续4等分,直到实际坐标系中子块的包围盒尺寸小于一个像素为止。应用实践表明,这种方法原理简单,精度高,易于编写程序。A new simple method to obtain contour plot of temperature distribution in two dimensional scalar valued fields is presented in this paper.The parent element is divided into four sub-areas, and the natural coordinates of the vertices of the sub-areas and the shape functions are used to calculate the temperature at the vertices of corresponding sub-areas in real coordinate system.The temperature at the vertices can be utilized to determine whether an isothermal line goes through the sub-area or not. The sub-areas that an isothermal line goes through will be gradually subdivided into smaller and smaller sub-areas until the sizes of the bounding rectangles of sub-areas in real coordinate system are small than or equal to that of a pixel.Theory analysis and examples illustrate that the suggested method is simple,accurate,and easily implemented.

关 键 词：等值线 可视化 有限单元法 温度场 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]