一类基于近似求解节块内扩散方程的功率重构方法研究

A Series of Power Reconstruction Methods Based on Solving Diffusion Equation Approximately in Node

基于近似求解节块内扩散方程原理,为NGFMN堆芯程序编制了新的功率重构程序。通过选取不同的双曲函数族、边界条件和勒让德多项式数目,得到了一类功率重构方法。用该类功率重构方法计算IAEA2D和BIBLIS2D基准题,并与CITATION细网程序比较计算结果,选出误差较小的功率重构方法。

Based on approximately solving diffusion equation in node,a series of reconstruction methods are developed for NGFMN code.These methods are categorized by hyperbolic functions,boundary conditions and the order of Legendre polynomials utilized in equation solving.2D IAEA and 2D BIBLIS benchmarks have been solved.The numerical results are compared with those from CITATION,and the reconstruction method with smaller errors is selected.