本文将自然单元法运用于二维半透明介质辐射与导热耦合问题的求解.自然单元法是基于自然邻近插值的无网格法,相对于其他无网格法,具有插值特性和支持域各向异性等特点.自然单元法采用自然邻近插值构造形函数,自然邻近插值包括Sibson插值和Laplace插值.本文介绍了Laplace插值的定义及其性质,对其收敛特性进行了研究.运用伽辽金加权余量法离散热辐射传递方程和能量方程,求解了方形区域和圆环区域辐射与导热耦合换热问题,通过与文献结果的对比验证了自然单元求解的有效性.
参考文献
| [1] | Hong-Liang Yi;Ming Xie;He-Ping Tan .Transient coupled heat transfer in an anisotropic scattering composite slab with semitransparent surfaces[J].International Journal of Heat and Mass Transfer,2008(25/26):5918-5930. |
| [2] | Jian-Feng Luo;Xi Shen .NUMERICAL METHOD OF THE RAY TRACING-NODE ANALYZING METHOD FOR SOLVING 2-D TRANSIENT COUPLED HEAT TRANSFER IN A RECTANGULAR SEMITRANSPARENT MEDIUM[J].Numerical Heat Transfer, Part A. Application: An International Journal of Computation and Methodology,2009(5/6):465-486. |
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