Study on Acceleration Method for Wavelets Scaling Function Expansion Resonance Calculation
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摘要: 小波尺度函数展开连续能量共振计算方法可以处理复杂的共振计算问题。该方法利用Daubechies小波尺度函数对共振能量段中子注量率的能量变量进行离散,将中子注量率的求解转化为求解一系列的展开系数的方程组;由于要求解大量的展开系数,该方法的计算效率很低。本研究采用离散方向概率方法求解展开系数。离散方向概率方法结合了特征线方法和流耦合方法的优点,具有较高的计算精度和效率。通过对压水堆栅元问题的数值检验,证明该方法能大大提高计算效率。
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关键词:
- 连续能量共振 /
- Daubechies小波尺度函数 /
- 离散方向概率方法
Abstract: The continuous-energy resonance self-shielding calculation method based on the wavelets scaling function expansion method is a valuable potential method to solve the complex resonance problem.Daubechies’ wavelets scaling function expansion method is used to discretize the energy variable of neutron flux within the resonant energy range.In this method,the neutron transport equation is transformed to a set of coefficients equations of wavelets scaling function expansion.Calculation of the coefficients is so time-consuming that a powerful neutron transport calculation method is needed for better calculation efficiency.In this paper,the discrete direction probability method（DDPM） is employed as a tool for solving the wavelet scaling function expansion coefficients.The numerical results indicate that it is capable of computing the coefficients with high computational efficiency and precision. -
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