On the analytic solutions of the monoenergetic neutron transport equation for slab geometry

1979 ◽  
Vol 30 (4) ◽  
pp. 655-661 ◽  
Author(s):  
Miriam Lemanska
Keyword(s):  
Transport Equation ◽  
Neutron Transport ◽  
Analytic Solutions ◽  
Neutron Transport Equation ◽  
Slab Geometry ◽  
Monoenergetic Neutron

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.

Sign in / Sign up

Export Citation Format

Share Document