Spherical harmonics method for neutron transport equation based on unstructured-meshes

Liang-Zhi CAO; Hong-Chun WU

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Spherical harmonics method for neutron transport equation based on unstructured-meshes

NUCLEAR, HEAVY ION AND ATOMIC PHYSICS | Updated：2021-01-29

- Spherical harmonics method for neutron transport equation based on unstructured-meshes
- Nuclear Science and Techniques Vol. 15, Issue 6, (2004)
- Affiliations：
  
  1.School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049
- Author bio：
- Funds：
- DOI： CLC： TL329.2
- Published：01 December 2004，
  
  Received：09 January 2004，
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Liang-Zhi CAO, Hong-Chun WU. Spherical harmonics method for neutron transport equation based on unstructured-meshes. [J]. Nuclear Science and Techniques 15(6):335-339(2004)
DOI：

Liang-Zhi CAO, Hong-Chun WU. Spherical harmonics method for neutron transport equation based on unstructured-meshes. [J]. Nuclear Science and Techniques 15(6):335-339(2004) DOI：

Spherical harmonics method for neutron transport equation based on unstructured-meshes 1 first-author 1 School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049 School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049 Based on a new second-order neutron transport equation, self-adjoint angular flux (SAAF) equation, the spherical harmonics ( P N ) method for neutron transport equation on unstructured-meshes is derived. The spherical harmonics function is used to expand the angular flux. A set of differential equations about the spatial variable, which are coupled with each other, can be obtained. They are solved iteratively by using the finite element method on unstructured-meshes. A two-dimension transport calculation program is coded according to the model. The numerical results of some benchmark problems demonstrate that this method can give high precision results and avoid the ray effect very well. Neutron transport equation Spherical harmonics method Finite element method Unstructured-meshes References Duderspadp J J , Martin W R . Transport theory , New York : Wiley & Sons Inc ., 1979 . 436 - 437 Transport theory Fletcher J K . Annals of Nuclear Energy , 1977 , 4 : 401 - 405 Annals of Nuclear Energy Inanc F , Rohach A F . Annals of Nuclear Energy , 1989 , 16 : 327 - 335 Annals of Nuclear Energy Ackroyd R T . Annals of Nuclear Energy , 1996 , 22 : 181 - 201 Annals of Nuclear Energy Wood J , Williams M M R . Annals of Nuclear Energy , 1984 , 14 : 21 - 40 Annals of Nuclear Energy Khouaja H , Edwards D R , Tsoulfanidis N . Annals of Nuclear Energy , 1996 , 24 : 515 - 531 Annals of Nuclear Energy Morel J E , McGhee J M . Nucl Sci Eng , 1999 , 132 : 312 - 325 Nucl Sci Eng Altac Z , Spinrad B I . Nucl Sci Eng , 1990 , 106 : 471 - 479 Nucl Sci Eng Stepanek J , Auerbach T , Haelg W . EPRI NP-2855 , 1983 EPRI NP-2855 TL329.2 Supported by pre-research fund of State Key Laboratory (51479080201 JW0802) 2004-01-09 2004-12-01 2021-01-19 2004 Nuclear Science and Techniques 06 15

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