摘要
源展开中子输运离散纵标法是将微分形式的离散纵标方程的解表示为多项式形式的特解和指数函数形式的通解之和,并通过入射角中子通量边界条件确定通解的系数,而特解则通过源项展开系数直接得到,最后构造源迭代完成六角形中子输运方程的求解;离散纵标方法一般收敛较慢,可以通过常用的粗网有限差分对求解过程进行加速。数值结果表明:本征值和功率分布计算结果与参考解符合良好,对于参考问题粗网有限差分加速比能达得20多倍。
The source expansion neutron transport discrete ordinates method expresses the solution of differential form discrete ordinates by a sum of polynomial form particular solution and exponential function homogeneous solution.The incoming angular neutron flux can be used as boundary condition to determine the coefficients of homogeneous solution.The particular solution can be obtained directly with source expansion coefficients.Finally,the hexagonal neutron transport equation can be solved with source iteration.Discrete ordinates method normally converges slow and can be accelerated with coarse mesh finite method(CMFD).Numerical results indicates that eigenvalues and power distributions of the reference problems agrees well with reference results.The CMFD acceleration method achieves more than 20 times speedup in the study.
作者
李志勇
LI Zhiyong(China General Nuclear Engineering Design Company Shanghai Branch,Shanghai 200241,China)
出处
《计算物理》
CSCD
北大核心
2023年第3期301-306,共6页
Chinese Journal of Computational Physics
关键词
六角形
离散纵标
源展开法
加速
hexagonal
discrete ordinates
source expansion
acceleration
