时间上二阶展开的Green函数节块法  

Temporal quadratic expansion nodal Green's function method

作　　者：刘聪[1] 经荥清[1] 徐小琳[1] 

机构地区：[1]清华大学核能技术设计研究院,北京100084

出　　处：《清华大学学报（自然科学版）》2000年第11期71-74,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家"八六三"高技术项目!(86 3- 6 14- 0 2 )

摘　　要：为快速求解反应堆三维时空动力学方程 ,克服已有方法的局限 ,提出了一种新的求解方法。该方法在时间方面 ,中子通量密度按时间二阶展开 (QEM) ;在空间方面 ,采用Green函数节块法 (NGFM)。根据对模型的校算表明 ,在相近计算精度下 ,它的时间步长可以放大到全隐式差分方法(FIM)的 5～ 2 0倍 ,而且 Green函数节块法的空间网格可以放大到有限差分方法的约 2 0倍。所以 ,时间上二阶展开的Green函数节块法 (TQE/NGFM)A new approach is presented to efficiently solve the three dimensional space time reactor dynamics equation which overcomes the disadvantages of current methods. In the Temporal Quadratic Expansion Nodal Green's Function Method (TQE/NGFM), the Quadratic Expansion Method (QEM) is used for the temporal solution with the Nodal Green's Function Method (NGFM) employed for the spatial solution. Test calculational results using TQE/NGFM show that its time step size can be 5~20 times larger than that of the Fully Implicit Method (FIM) for similar precision. Additionally, the spatial mesh size with NGFM can be nearly 20 times larger than that using the finite difference method. So, TQE/NGFM is proved to be an efficient reactor dynamics analysis method.

关 键 词：反应堆动力学 二阶展开方法 Green函数节块法 

分 类 号：TL329.2[核科学技术—核技术及应用]