二维参与性介质辐射换热的球谐有限元法  

Spherical Harmonics Finite Element Method for Radiative Heat Transfer in Two Dimensional Participating Media

作　　者：王希影 

机构地区：[1]中航空天发动机研究院有限公司,北京100028

出　　处：《燃气涡轮试验与研究》2014年第2期10-13,20,共5页Gas Turbine Experiment and Research

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.

关 键 词：航空发动机 燃烧室 球谐函数法 球谐有限元法 辐射换热 参与性介质 

分 类 号：V231.1[航空宇航科学与技术—航空宇航推进理论与工程] TK24[动力工程及工程热物理—动力机械及工程]