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二维参与性介质辐射换热的球谐有限元法

     

摘要

采用球谐函数与有限元相结合的方法(即球谐有限元法),对二维介质内辐射换热问题进行研究。以规则和非规则形状几何体辐射问题为例,使用球谐有限元法可得到较准确的计算结果,且与其它数值计算方法(如球谐有限差分法、离散坐标有限元法等)相比具有以下优势:球谐有限元法方法简单,计算速度快,适用于大型工程应用;球谐有限元法可用于计算各种形状的几何体,计算应用范围广。%The spherical harmonics finite element method, which combines the spherical harmonics method and the finite element method together, has been applied to deal with two dimensional radiative transfer prob-lems. Taking the regular and irregular geometry cases as examples, better results are obtained with the spheri-cal harmonics finite element method. Compared with other numerical methods, such as the spherical harmon-ics finite difference method and the discrete-ordinate finite-element method, the spherical harmonics finite el-ement method has some advantages. Firstly, the method is simple and the calculation speed is fast, and it is ap-propriate for engineering application. Secondly, the spherical harmonics finite element method can be applied to all kinds of geometry shapes, the range of application is wide.

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