论文标题
中子传输方程的简化DPN处理
Simplified-DPN treatment of the neutron transport equation
论文作者
论文摘要
在本文中，简化的双球谐波SDPN，提出了中子传输方程的近似。 SDPN方程源自n = 1,2,3的多组DPN方程（分别与SP3，SP5和SP7方程相当），并将其转换为二阶多组扩散方程的形式。然后使用具有变分方法的有限元方法来数值求解这些方程。将SDPN方法的计算性能与SPN进行了几个固定源和关键性测试问题的比较。结果表明，SDPN公式通常会导致参数，例如关键性特征值，缺点因素，吸收率等。比SPN更准确，甚至更精确，而计算工作则相同。
In this paper the simplified double-spherical harmonics SDPN, approximation of the neutron transport equation is proposed. The SDPN equations are derived from the multi-group DPN equations for N=1,2,3 (comparable to the SP3, SP5, and SP7 equations, respectively), and are converted into the form of second order multi-group diffusion equations. The finite element method with the variational approach is then used to numerically solve these equations. The computational performance of the SDPN method is compared with the SPN on several fixed-source and criticality test problems. The results show that the SDPN formulation generally results in parameters like criticality eigenvalue, disadvantage factors, absorption rate, etc. more accurately than the SPN, even up to an order of magnitude more precise, while the computational effort is the same for both methods.
