Shifting Strategy in the Spectral Analysis for the Spectral Green’s Function Nodal Method for Slab-Geometry Adjoint Transport Problems in the Discrete Ordinates Formulation

Curbelo, Jesús P.; Silva, O. P. da; Garcı́a, Carmen; Barros, Ricardo C.

doi:10.1007/978-3-319-59387-6_20

Cited by 4 publications

(1 citation statement)

References 5 publications

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“…where the variable γ indicates the application of the exponential shift procedure [22][23][24] used to avoid numerical overflows due to finite computational arithmetic. Substituting Eq.…”

Section: Homogeneous Solutions To the Multigroup Adjoint Transverse-i...mentioning

confidence: 99%

On the calculation of neutron sources generating steady prescribed power distributions in subcritical systems using multigroup X,Y-geometry discrete ordinates models

Léonardo¹,

Moraes²,

Filho³

et al. 2021

Preprint

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In this paper a methodology is described to estimate multigroup neutron source distributions which must be added into a subcritical system to drive it to a steady state prescribed power distribution. This work has been motivated by the principle of operation of the ADS (Accelerator Driven System) reactors, which have subcritical cores stabilized by the action of external sources. We use the energy multigroup two-dimensional neutron transport equation in the discrete ordinates formulation (S N ) and the equation which is adjoint to it, whose solution is interpreted here as a distribution measuring the importance of the angular flux of neutrons to a linear functional. These equations are correlated through a reciprocity relation, leading to a relationship between the interior sources of neutrons and the power produced by unit length of height of the domain. A coarse-mesh numerical method of the spectral nodal class, referred to as adjoint response matrix constant-nodal method, is applied to numerically solve the adjoint S N equations. Numerical experiments are performed to analyze the accuracy of the present methodology so as to illustrate its potential practical applications.

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“…where the variable γ indicates the application of the exponential shift procedure [22][23][24] used to avoid numerical overflows due to finite computational arithmetic. Substituting Eq.…”

Section: Homogeneous Solutions To the Multigroup Adjoint Transverse-i...mentioning

confidence: 99%

On the calculation of neutron sources generating steady prescribed power distributions in subcritical systems using multigroup X,Y-geometry discrete ordinates models

Léonardo¹,

Moraes²,

Filho³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

On the calculation of neutron sources generating steady prescribed power distributions in subcritical systems using multigroup X,Y-geometry discrete ordinates models

Moraes

Filho

Barros

2022

Annals of Nuclear Energy

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On the Generalization of the Response Matrix Spectral Nodal Method for Neutral Particle S_N Source–Detector Problems in Slab Geometry

Curbelo¹,

Silva

Barros³

2021

Journal of Computational and Theoretical Transport

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Shifting Strategy in the Spectral Analysis for the Spectral Green’s Function Nodal Method for Slab-Geometry Adjoint Transport Problems in the Discrete Ordinates Formulation

Cited by 4 publications

References 5 publications

On the calculation of neutron sources generating steady prescribed power distributions in subcritical systems using multigroup X,Y-geometry discrete ordinates models

On the calculation of neutron sources generating steady prescribed power distributions in subcritical systems using multigroup X,Y-geometry discrete ordinates models

On the calculation of neutron sources generating steady prescribed power distributions in subcritical systems using multigroup X,Y-geometry discrete ordinates models

On the Generalization of the Response Matrix Spectral Nodal Method for Neutral Particle S_N Source–Detector Problems in Slab Geometry

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Shifting Strategy in the Spectral Analysis for the Spectral Green’s Function Nodal Method for Slab-Geometry Adjoint Transport Problems in the Discrete Ordinates Formulation

Cited by 4 publications

References 5 publications

On the calculation of neutron sources generating steady prescribed power distributions in subcritical systems using multigroup X,Y-geometry discrete ordinates models

On the calculation of neutron sources generating steady prescribed power distributions in subcritical systems using multigroup X,Y-geometry discrete ordinates models

On the calculation of neutron sources generating steady prescribed power distributions in subcritical systems using multigroup X,Y-geometry discrete ordinates models

On the Generalization of the Response Matrix Spectral Nodal Method for Neutral Particle SN Source–Detector Problems in Slab Geometry

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Product

Resources

About

On the Generalization of the Response Matrix Spectral Nodal Method for Neutral Particle S_N Source–Detector Problems in Slab Geometry