Coarse-mesh diffusion synthetic acceleration of the scattering source iteration scheme for one-speed slab-geometry discrete ordinates problems

2013 ◽  
Author(s):  
Frederico P. Santos ◽  
Hermes Alves Filho ◽  
Ricardo C. Barros
Keyword(s):  
Iteration Scheme ◽  
Discrete Ordinates ◽  
Coarse Mesh ◽  
Slab Geometry ◽  
Diffusion Synthetic Acceleration

scholarly journals The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometry

2021 ◽  
Vol 8 (3A) ◽  
Author(s):  
Jesús Pérez Curbelo ◽  
Rafael Barbosa Libotte ◽  
Amaury Muñoz Oliva ◽  
Ricardo Carvalho Barros ◽  
Hermes Alves Filho
Keyword(s):  
Neutron Transport ◽  
Iteration Scheme ◽  
Discrete Ordinates ◽  
Coarse Mesh ◽  
Neutron Transport Equation ◽  
Balance Equations ◽  
Deterministic Method ◽  
New Approach ◽  
One Dimensional ◽  
Typical Model

A new approach for the application of the coarse–mesh Modified Spectral Deterministic method to numerically solve the two–dimensional neutron transport equation in the discrete ordinates (Sn) formulation is presented in this work. The method is based on within node general solution of the conventional one–dimensional Sn transverse integrated equations considering constant approximations for the transverse leakage terms and obtaining the Sn spatial balance equations. The discretized equations are solved by using a modified Source Iteration scheme without additional approximations since the average angular fluxes are computed analytically in each iteration. The numerical algorithm of the method presented here is algebraically simpler than other spectral nodal methods in the literature for the type of problems we have considered. Numerical results to two typical model problems are presented to test the accuracy of the offered method.

A multi-group extended linear discontinuous method for fixed-source discrete ordinates problems in slab geometry

2019 ◽  
Vol 13 (1) ◽  
pp. 70
Author(s):  
Iram B. Rivas Ortiz ◽  
Dany S. Dominguez ◽  
Carlos R. García Hernández ◽  
Susana M. Iglesias
Keyword(s):  
Discrete Ordinates ◽  
Slab Geometry
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