摘要
为改进高温气冷堆中热工场方程的计算方法,研究了求解圆柱几何对流扩散方程的节块积分方法。针对圆柱几何下的r向横向积分方程的特殊性,提出了两种可行的近似方法——移项处理和常数近似,并进行相应的误差分析。数值计算结果表明:节块积分方法求解圆柱几何对流扩散方程的数值解具有迎风特性,一维和多维问题的计算结果均与解析解符合得很好;当节块在r向靠近零点时,常数近似带来的误差较移项处理带来的误差小,但当节块远离零点时,二者误差基本相当。
In order to improve the calculation performance of thermal-hydraulic problems in high-temperature gas-cooled reactor（HTGR）,the nodal integral method（NIM） was applied to solve the steady-state convection-diffusion equation in cylindrical geometry.Two kinds of treatments were proposed to solve the challenge of r-directed transverse integrated equation which was brought by cylindrical geometry,and corresponding error analyses were presented.The results show that the inherent upwind characteristic of NIM in solving the cylindrical convection-diffusion equation is proved,and the results of NIM agree very well with the analytical solutions for one-dimensional problem and multi-dimensional problem.When nodes close to the original point in r direction,constant approximation has better accuracy over treatment of moving terms,however,when nodes away from original point,both methods show almost the same accuracy.
出处
《原子能科学技术》
EI
CAS
CSCD
北大核心
2013年第B06期25-28,共4页
Atomic Energy Science and Technology
基金
国家重大科技专项经费资助项目(ZX06901)
关键词
节块积分方法
移项处理
常数近似
nodal integral method
treatment of moving terms
constant approximation
