中子输运方程的简化双球谐函数（SDPN）处理
Simplified-DPN treatment of the neutron transport equation
AI总结：
本文提出中子输运方程的简化双球谐函数SDPN近似，将其转化为二阶多群扩散方程并用有限元法求解，在相同计算成本下比SPN在临界性特征值等参数上精度更高。
摘要：
本文提出了中子输运方程的简化双球谐函数SDPN近似。SDPN方程由多群DPN方程在N=1,2,3时导出（分别与SP3、SP5和SP7方程相当），并转化为二阶多群扩散方程的形式。随后采用变分方法的有限元法对这些方程进行数值求解。在若干固定源和临界性测试问题上，将SDPN方法的计算性能与SPN进行了比较。结果表明，SDPN公式通常在临界性特征值、不利因子、吸收率等参数上比SPN更准确，甚至精度高出一个数量级，而两种方法的计算工作量相同。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
