Coupled PN-DPN Method for Solving the Neutron Transport Equation of Planar Geometry
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摘要: 球谐函数方法(PN)不能真实模拟介质交界面或者真空边界处中子角注量率不连续的分布,而双球谐函数方法(DPN)通过对中子角注量率在半角度空间内分别进行展开,解决了这一问题。本文结合DPN方法的这一优点,根据全角度空间和半角度空间的矩之间的关系,提出了PN和DPN的耦合方法,并将此方法用于求解一维平板稳态各向同性散射的中子输运方程。数值计算结果表明,在处理中子角注量率不连续问题时,耦合方法的精度明显比PN方法高。
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关键词:
- PN方法 /
- DPN方法 /
- PN-DPN耦合方法 /
- 中子输运方程
Abstract: One of the difficulties in spherical harmonics(PN) method is to deal with the discontinuity of neutron flux near interfaces or void boundaries.To solve this problem,Yvon proposed the expansion of the spherical harmonics over each half of the angular range,thus yielding the double spherical harmonics(DPN) method.The purpose of this study is to combine the PN method and the DPN method to solve the time-independent isotropic neutron transport equation in one-dimensional planar geometry.Numerical results from several test problems are presented to demonstrate that great improvements in accuracy can be obtained using this coupled PN-DPN method. -
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