Application of the Chebyshev polynomial (TNandUN) approximation to reflected slab geometry in the neutron transport equation and computation of critical half thicknesses

Kerntechnik ◽  
2010 ◽  
Vol 75 (5) ◽  
pp. 282-287
Author(s):  
A. Bülbül ◽  
F. Anlı
Keyword(s):  
Transport Equation ◽  
Chebyshev Polynomial ◽  
Neutron Transport ◽  
Neutron Transport Equation ◽  
Slab Geometry

scholarly journals A SPLITTING ITERATIVE METHOD FOR SOLVING THE NEUTRON TRANSPORT EQUATION

2009 ◽  
Vol 14 (3) ◽  
pp. 271-289 ◽  
Author(s):  
Onana Awono ◽  
Jacques Tagoudjeu
Keyword(s):  
Steady State ◽  
Iterative Method ◽  
Transport Equation ◽  
Multigrid Method ◽  
Neutron Transport ◽  
Dimensional Space ◽  
Two Dimensional ◽  
Numerical Treatment ◽  
Neutron Transport Equation ◽  
Slab Geometry

This paper presents an iterative method based on a self‐adjoint and m‐accretive splitting for the numerical treatment of the steady state neutron transport equation. Theoretical analysis shows that this method converges unconditionally to the unique solution of the transport equation. The convergence of the method is numerically illustrated and compared with the standard Source Iteration method and multigrid method on sample problems in slab geometry and in two dimensional space.

NTP-ERSN: A new package for solving the multigroup neutron transport equation in a slab geometry

2019 ◽  
Vol 145 ◽  
pp. 73-84 ◽  
Author(s):  
M. Lahdour ◽  
T. El Bardouni ◽  
E. Chakir ◽  
K. Benaalilou ◽  
M. Mohammed ◽  
...  
Keyword(s):  
Transport Equation ◽  
Neutron Transport ◽  
Neutron Transport Equation ◽  
Slab Geometry ◽  
Multigroup Neutron
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