| 改进的节块展开方法求解圆柱几何对流扩散方程 |
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| 引用本文： | 邓志红,孙玉良,李富,Rizwan-uddin.改进的节块展开方法求解圆柱几何对流扩散方程[J].计算物理,2013,30(4):475-482. |
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| 作者姓名： | 邓志红 孙玉良 李富 Rizwan-uddin |
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| 作者单位： | 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 |
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| 基金项目： | 国家重大科技专项经费(ZX06901)资助项目 |
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| 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.
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| 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 |
| 收稿时间： | 2012-10-11 |
| 修稿时间： | 2013-01-30 |
Modified Nodal Expansion Method for Convection-diffusion Equation in Cylindrical Geometry |
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| DENG Zhihong,SUN Yuliang,LI Fu,Rizwan-uddin.Modified Nodal Expansion Method for Convection-diffusion Equation in Cylindrical Geometry[J].Chinese Journal of Computational Physics,2013,30(4):475-482. |
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| Authors: | DENG Zhihong SUN Yuliang LI Fu Rizwan-uddin |
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| Institution: | 1. Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China;2. Nuclear, Plasma, Radiological Engineering, University of Illinois at Urbana-Champaign, Urbana 61801, USA |
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| Abstract: | 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. |
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| Keywords: | modified nodal expansion method exponential function upwind convection-diffusion equation cylindrical geometry |
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