二维中子输运方程计算的角度多重网格加速方法及外推加速技术

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基金项目:

北京应用物理和计算数学研究所基金(51479050105JW0804)

国家自然科学基金(10475064,10605017)资助

Angular Multigrid Acceleration Method and Lyusternik-Wagner Extrapolation Acceleration Technique for Two-Dimensional Neutron Transport Equation

1. Xi'an Jiaotong University, Xi'an, 710049, China;
2. Beijing Applied Physics and Computation Mathematics Insititute, Beijing, 100088, China

摘要: 为提高中子输运问题的计算时程效率,本文采用角度多重网格(ANMG)加速方法加速源迭代过程,并在此基础上给出了Lyusternik-Wagner外推加速技术,并应用到中子输运方程最小二乘有限元计算程序LESFES中。数值结果表明:无论对于各向同性散射问题还是强各向异性散射问题,ANMG加速方法具有良好的加速效果;而且在ANMG加速方法的基础上增加Lyusternik-Wagner外推加速技术后,可以使整体加速效果更加明显。
- 中子输运 /
- 角度多重网格加速 /
- Lyusternik-Wagner外推加速
Abstract: To improve the efficiency of neutron transport computation, the angular multigrid （ANMG） acceleration method and the Lyusternik-Wagner extrapolation acceleration technique are utilized to accelerate the source iteration process. They are successfully applied to the LESFES code, which is developed to solve the neutron transport equation by the least-squares finite-element method. The numerical results demonstrate that the ANMG acceleration method can save much computation time not only for isotropic scattering problems but also for the highly anisotropic scattering problems. Furthermore, when the Lyusternik-Wagner extrapolation acceleration technique is applied to the ANMG acceleration method, the acceleration effect can be significantly improved.
- Neutron transport /
- Angular multigrid acceleration /
- Lyusternik-wagner extrapolation accel-eration