立体角的计算与棱角的识别

Calculation of Solid Angle and Identification of Edge and Corner

在边界元方法中,尖棱角处必须做特殊处理以克服此处的法向量的不连续性。通过立体角的值来判断结构中的尖棱角,对实现边界元算法具有重要的作用。现详细地介绍立体角的数值求解方法,并以两个实例说明应用立体角识别尖棱角的可行性。

Because normal vector at sharp edge and corner is discontinuous, node located at such position must be treated specially. The solid angle is calculated to identify sharp edges and corners. This technique is very useful to the implementation of boundary element method. Calculation of solid angles using numerical approach is described in detail. Two examples are presented to show the feasibility of identifying sharp edges and corners using solid angle.