强散射介质中子输运计算的角度相关附加再平衡加速算法  

Additive Angular Dependent Rebalance Acceleration Arithmetic for Neutron Transport Equation in Optically Thick Diffusive Region

作　　者：巨海涛[1] 吴宏春[1] 

机构地区：[1]西安交通大学能源与动力工程学院,陕西西安710049

出　　处：《原子能科学技术》2009年第1期56-61,共6页Atomic Energy Science and Technology

基　　金：新概念反应堆的物理设计计算研究资助项目(10475064);新型MOX燃料组件畸形中子通量密度分布计算研究资助项目(10605017)

摘　　要：利用最小二乘有限元离散坐标方法，对一阶中子输运方程进行离散求解，给出了基于非结构网格的角度相关附加再平衡加速算法，采用附加修正量的办法达到再平衡的原理加速计算过程，同时也给出了其外推算法。将算法应用到强散射介质中子输运方程的计算中，一些基准问题的数值结果表明，计算速度可加速到原来的1．5～2倍。The first-order neutron transport equation was solved by the least-squares finite element method based on the discrete ordinates discretization. For the traditional source iteration method is very slowly for the optically thick diffusive medium, sometime even divergent especially for the scattering ratio is close to unity, so the acceleration method should be proposed. There is only diffusive synthetical acceleration （DSA） for the discontinuous finite element method （DFEM） and almost no one for the leastsquares finite element method. The additive angular dependent rebalance （AADR） acceleration arithmetic and its extrapolate method were given, in which the additive modification was used. It was applied to solve the transport equation with fixed source, fission source, in optically thick diffusive regions and with unstructured-mesh. The numerical results of benchmark problems demonstrate that the arithmetic can shorten the CPU time about 1.5-2 times and give high precise.

关 键 词：角度相关附加再平衡 中子输运 强散射 加速算法 

分 类 号：TL323[核科学技术—核技术及应用]