Validations of the radiation transport module NEUTRO: A deterministic solver for the neutron transport equation

2021 ◽  
Vol 169 ◽  
pp. 112497
Author(s):  
Alejandro Soba ◽  
Mauricio E. Cazado ◽  
Guillaume Houzeaux ◽  
Albert Gutierrez-Milla ◽  
Mervi J. Mantsinen ◽  
...  
Keyword(s):  
Transport Equation ◽  
Radiation Transport ◽  
Neutron Transport ◽  
Neutron Transport Equation

Lattice Boltzmann Method for Solving Time-Dependent Radiation Transport and Reactor Criticality Problems

2016 ◽  
Author(s):  
A. Gairola ◽  
Hitesh Bindra ◽  
Gaurav Agarwal ◽  
Suneet Singh
Keyword(s):  
Transport Equation ◽  
Lattice Boltzmann ◽  
Radiation Transport ◽  
Neutron Transport ◽  
Time Dependent ◽  
Neutron Transport Equation ◽  
Reactor Criticality ◽  
Homogenous Medium ◽  
Transport Problems ◽  
Material Energy

The recently developed lattice Boltzmann equation (LBE) framework [1] for radiation transport is extended to solve time-dependent nonequilibrium neutron transport problems. Dynamics of radiation and material energy exchange is modeled by coupling the radiation transport equation with the material energy equation in a one-dimensional isotropically scattering homogenous medium. The LBE equations are obtained for corresponding radiative or neutron transport in constant source and reactor criticality search problems. Furthermore, a two-dimensional D2Q8 & D2Q16 LBEs are proposed for solving the time-dependent neutron transport equation in a heterogenous media (e.g., a checkerboard lattice with pure scattering and absorbing cells). The results obtained with LBE are in good agreement with the existing discrete ordinate method results for the benchmark problem.

High-Dimensional Model Representations for the Neutron Transport Equation

2014 ◽  
Vol 177 (3) ◽  
pp. 350-360 ◽  
Author(s):  
Zhengzheng Hu ◽  
Ralph C. Smith ◽  
Jeffrey Willert ◽  
C. T. Kelley
Keyword(s):  
Transport Equation ◽  
Neutron Transport ◽  
High Dimensional ◽  
Dimensional Model ◽  
Neutron Transport Equation

scholarly journals Note on the Solution of Transport Equation by Tau Method and Walsh Functions

2010 ◽  
Vol 2010 ◽  
pp. 1-13 ◽  
Author(s):  
Abdelouahab Kadem ◽  
Adem Kilicman
Keyword(s):  
Transport Equation ◽  
Legendre Polynomials ◽  
Neutron Transport ◽  
Three Dimensional ◽  
Walsh Function ◽  
Dimensional Case ◽  
Angular Variable ◽  
Tau Method ◽  
Algebraic Equations ◽  
Neutron Transport Equation

We consider the combined Walsh function for the three-dimensional case. A method for the solution of the neutron transport equation in three-dimensional case by using the Walsh function, Chebyshev polynomials, and the Legendre polynomials are considered. We also present Tau method, and it was proved that it is a good approximate to exact solutions. This method is based on expansion of the angular flux in a truncated series of Walsh function in the angular variable. The main characteristic of this technique is that it reduces the problems to those of solving a system of algebraic equations; thus, it is greatly simplifying the problem.

Sign in / Sign up

Export Citation Format

Share Document