强激光与粒子束, 2018, 30 (3): 036002, 网络出版: 2018-05-29
两种大规模燃耗链求解算法对比分析
Comparison and analysis of two algorithms for solving large depletion chains
摘要
为严格追踪裂变反应堆中核素成分随燃耗的变化,基于燃耗矩阵法求解燃耗方程,分别采用自主编写的Chebyshev有理近似方法(CRAM)程序和广泛应用的ORIGEN2程序进行大规模燃耗链的点燃耗计算,并对两种算法的相关参数进行对比分析。结果表明:在计算精度方面,CRAM与ORIGEN2程序获得的重要核素的核密度较为一致,个别核素相对误差较大;在计算效率方面,单步燃耗计算ORIGEN2略胜一筹,但CRAM耗时也非常短;在步长稳定性方面,CRAM具有显著优势,而ORIGEN2的统计结果受步长变化的影响较大。
Abstract
In order to trace strictly the changes of nuclide density with burnup in a fission reactor, the independently developed codes by Chebyshev Rational Approximate Method (CRAM) and widely applied ORIGEN2 were adopted to solve large depletion chains to solve depletion equations based on Burnup Matrix Methods. The values are compared and analyzed with the aspects of computational accuracy, efficiency and step stability. The results show that CRAM can provide similar density solutions of important nuclides with a little slower speed and a much better step stability than those of ORIGEN2.
谭杰, 张鹏. 两种大规模燃耗链求解算法对比分析[J]. 强激光与粒子束, 2018, 30(3): 036002. Tan Jie, Zhang Peng. Comparison and analysis of two algorithms for solving large depletion chains[J]. High Power Laser and Particle Beams, 2018, 30(3): 036002.