用于复杂环境下中子时空动力学计算的简化球谐函数方法

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Simplified Spherical Harmonics Method for Neutron Time-Space Kinetics Calculation in Complex Environment

摘要: 将简化球谐函数(SP_N)方法用于离散输运时空动力学方程的角度变量,应用有限元方法离散其空间变量,用全隐式向后差分离散时间变量,用时间积分法求解缓发中子先驱核浓度方程,建立了复杂环境下输运时空动力学计算的理论模型。根据该模型编制了非结构网格多维输运时空动力学计算程序,数值计算结果表明,该方法可以应用于复杂环境下中子输运时空动力学计算。
- 简化球谐函数 /
- 时空动力学 /
- 非结构网格
Abstract: The simplified spherical harmonics（SPN） method is utilized to discretize the angular variables of neutron transport time-space kinetics equation.The finite element method,fully implicit scheme and direct analytical time integration method are used to deal with the spatial,time variables and delayed neutron precursor equation,respectively.According to the model,a computer program is developed to solve multi-dimensional time-space kinetics equation in unstructured-meshes.The numerical results show that this method can be used to perform the kinetics calculation in complex environment.
- Simplified spherical harmonics /
- Time-space kinetics /
- Unstructured-meshes