Time-dependent simplified DP1 approximation for neutron transport equation

被引:0
|
作者
Nazari, M. [1 ]
Zolfaghari, A. [1 ]
Abbasi, M. [1 ]
机构
[1] Shahid Beheshti Univ, Engn Dept, Tehran, Iran
关键词
Time-dependentSDP1approximation; Time-dependentSP3approximation; Time-dependent neutron transport equation; Finite element method; Finite difference method; SIMPLIFIED SPHERICAL-HARMONICS;
D O I
10.1016/j.pnucene.2023.105043
中图分类号
TL [原子能技术]; O571 [原子核物理学];
学科分类号
0827 ; 082701 ;
摘要
Time-dependent transport is still too computationally expensive for various practical purposes. On the other hand, the diffusion approximation is unable to provide accurate results for many real problems. To establish a middle ground between the accuracy of the transport and the simplicity of the diffusion approximations, the simplified spherical harmonics (SPN) method was introduced. The present paper aims to improve the accuracy of the time-dependent SP3 method by employing the simplified double -P1 (SDP1) approximation, which is based on the one-dimensional double-spherical harmonics DP1 equations. Using the finite element method to treat the spatial dependence of the SDP1 equations leads to a set of first-order ordinary differential equations on the time variable. These equations are then converted into a set of linear algebraic equations by discretizing the time variable with the implicit backward finite difference scheme. Our numerical results indicate that the SDP1 approximation could compute more precise values than the widely used SP3 method in transient problems.
引用
收藏
页数:12
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