SOLUTION OF THE TWO‐DIMENSIONAL NEUTRON TRANSPORT EQUATION BY A HIERARCHICAL FINITE ELEMENT METHOD

1993 ◽  
Vol 3 (1) ◽  
pp. 35-47 ◽  
Author(s):  
AWONO ONANA ◽  
S. YUNKAP KWANKAM ◽  
MVOGO NGONO JOSEPH
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transport Equation ◽  
Neutron Transport ◽  
Two Dimensional ◽  
Neutron Transport Equation ◽  
Hierarchical Finite Element Method ◽  
Element Method ◽  
Hierarchical Finite Element

Determinant Methods for Solving Neutron Transport Equation in Unstructured Geometry

2010 ◽  
Author(s):  
Hongchun Wu ◽  
Guoming Liu ◽  
Liangzhi Cao ◽  
Qichang Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fuel Assembly ◽  
Transport Equation ◽  
Neutron Transport ◽  
Transmission Probability ◽  
Probability Method ◽  
Neutron Transport Equation ◽  
Nodal Method ◽  
Element Method

The spherical harmonics (Pn) finite element method, the Sn finite element method, the triangle transmission probability method and the discrete triangle nodal method were all introduced to solve the neutron transport equation for unstructured fuel assembly respectively. The computing codes of each method were encoded and numerical results were discussed and compared. It was demonstrated that these four methods can solve neutron transport equations with unstructured-meshes very effectively and correctly, they can be used to solve unstructured fuel assembly problem.

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