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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
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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.
作者 王希影
出处 《燃气涡轮试验与研究》 北大核心 2014年第2期10-13,20,共5页 Gas Turbine Experiment and Research
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 aero-engine combustor pherical harmonics method spherical harmonics finite element method radiative heat transfer participating media
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