A Highly Parallel Multilevel Newton--Krylov--Schwarz Method with Subspace-Based Coarsening and Partition-Based Balancing for the Multigroup Neutron Transport Equation on Three-Dimensional Unstructured Meshes

2020 ◽  
Vol 42 (5) ◽  
pp. C193-C220
Author(s):  
Fande Kong ◽  
Yaqi Wang ◽  
Derek R. Gaston ◽  
Cody J. Permann ◽  
Andrew E. Slaughter ◽  
...  
Keyword(s):  
Transport Equation ◽  
Neutron Transport ◽  
Three Dimensional ◽  
Unstructured Meshes ◽  
Neutron Transport Equation ◽  
Schwarz Method ◽  
Multigroup Neutron

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.

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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