改进的节块展开方法求解圆柱几何对流扩散方程  

Modified Nodal Expansion Method for Convection-diffusion Equation in Cylindrical Geometry

作　　者：邓志红[1] 孙玉良[1] 李富[1] Rizwan-uddin 

机构地区：[1]清华大学核能与新能源技术研究院,北京100084 [2]Nuclear,Plasma,Radiological Engineering,University of Illinois at Urbana-Champaign,Urbana 61801,USA

出　　处：《计算物理》2013年第4期475-482,共8页Chinese Journal of Computational Physics

基　　金：国家重大科技专项经费(ZX06901)资助项目

摘　　要：为高效求解球床高温气冷堆物理-热工耦合问题,发展改进节块展开法求解圆柱几何下的对流扩散方程.针对圆柱几何和对流扩散方程的特殊性,采用三阶多项式和指数函数作为r向横向积分方程的展开函数,在节块展开法的框架下高效求解对流扩散方程.数值验证表明,改进的节块展开方法具有固有的迎风特性,在使用粗网节块时依然能保持稳定性和较高的计算精度.For efficient calculation of neutronic-thermal hydraulic coupling in pebble bed high temperature gas cooled reactor, a modified nodal expansion method （MNEM） was developed to solve convection-diffusion equation in cylindrical geometry. Within the framework of nodal expansion method, up to third-order polynomials combined with an orthogonalizd exponential function were adopted as basis functions for r-directed transverse integrated equation. Numerical tests reveal that the MNEM posses inherent upwind characteristic, and has good accuracy and stability for coarse meshes.

关 键 词：改进节块展开方法 指数函数 迎风特性 对流扩散方程 圆柱几何 

分 类 号：O24[理学—计算数学]