HNsolutions of the time dependent linear neutron transport equation for a slab and a sphere

Kerntechnik ◽  
2007 ◽  
Vol 72 (1-2) ◽  
pp. 66-73 ◽  
Author(s):  
G. Türeci ◽  
M. C. Güleçyüz ◽  
C. Tezcan
Keyword(s):  
Transport Equation ◽  
Neutron Transport ◽  
Time Dependent ◽  
Neutron Transport Equation

scholarly journals STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION

2021 ◽  
Vol 247 ◽  
pp. 03018
Author(s):  
P. Saracco ◽  
N. Abrate ◽  
M. Burrone ◽  
S. Dulla ◽  
P. Ravetto
Keyword(s):  
Transport Equation ◽  
Cross Sections ◽  
Eigenvalue Problems ◽  
Neutron Transport ◽  
Time Dependent ◽  
Neutron Transport Equation ◽  
Generalized Eigenvalue Problems ◽  
Time Dependent Problem ◽  
Steady State Solutions ◽  
Insight Into

The study of the steady-state solutions of neutron transport equation requires the introduction of appropriate eigenvalues: this can be done in various different ways by changing each of the operators in the transport equation; such modifications can be physically viewed as a variation of the corresponding macroscopic cross sections only, so making the different (generalized) eigenvalue problems non-equivalent. In this paper the eigenvalue problem associated to the time-dependent problem (α eigenvalue), also in the presence of delayed emissions is evaluated. The properties of associated spectra can give different insight into the physics of the problem.

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