用节块Green函数法计算高阶谐波

为提高反应堆物理计算的效率，研究了高阶谐波的双正交性和其通用计算方法——幂迭代法加低阶谐波消除法，推导了节块Ｇｒｅｅｎ函数法（ＮＧＦＭ）下谐波消除法的简化格式，最终提出了ＮＧＦＭ下高阶谐波计算的具体流程。在ＮＧＦＭ数学共轭计算的基础上，成功地实现了ＮＧＦＭ下高阶谐波计算。经验算，ＮＧＦＭ下高阶谐波计算取得与细网差分法下一致的结果，但计算时间大大缩短。

Higher order harmonics calculation under nodal Green's function method

In order to enhance the reactor physics calculation efficiency, this paper discusses the bi orthogonality of the higher order harmonics (HOH) and the universal method for HOH calculation, the power iteration method accompanied by the lower order harmonics elimination method, and deduces the simplified form of the lower order harmonics elimination formula under Nodal Green's Function Method (NGFM), at last proposes the detail calculation process for HOH calculation under NGFM. Based on the success of the NGFM mathematical adjoint calculation, the HOH calculation under NGFM was realized. It is proved via the verification calculation that the HOH result from NGFM is consistent with that from the fine mesh difference method, but with much less computation time.