HARMONY程序计算中子扩散方程高阶λ本征值问题的基准验证

摘要

High-order λ harmonics have valuable applications in the fields of core power re-construction,re-fueling optimization and neutron characteristics study of ADS sub-critical reactor.To calculate high-order λ harmonics,based on the implicitly restarted Arnoldi method (IRAM),the HARMONY code for arbitrary high-order λ eigenvalue and harmonics calculation in one,two and three Cartesian coordinates neutron diffusion equation was developed and verified by the benchmark problems.The results indicate that HARMONY code is capable for high-order λ eigenvalue calculation and has good numerical accuracy.It can be applied in future for λ harmonics based neutron characteristics study of ADS sub-critical reactor.%高阶λ谐波在反应堆堆芯功率重构、换料优化、ADS次临界反应堆物理特性研究等领域有着重要应用价值.为进行高阶λ谐波的计算,本文基于隐式重启动Arnoldi方法(IRAM)编制了可用于一维、二维、三维笛卡尔坐标系中子扩散方程的任意阶λ谐波及本征值计算的HARMONY程序,并进行了基准题的数值验证.结果表明,HARMONY程序能实现高阶λ本征值问题计算,具有较高的精度,为未来基于λ谐波的ADS次临界反应堆物理特性研究奠定了基础.