Application of Variational Variance Reduction for Source-Detector Problems in Nuclear Non-proliferation

Somasundaram, Elanchezhian; Palmer, Todd S.

doi:10.1080/23324309.2016.1211538

Cited by 5 publications

(2 citation statements)

References 7 publications

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“…(3) where we define the inner product (Somasundaram and Palmer 2016) 1 illustrates the location of the detector within the slab.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The adjoint to the transport operator is an important mathematical tool that may be very helpful in the solution of several problems in transport theory, for instance, in nuclear reactor analysis (Duderstadt and Martin 1979), nuclear material detection (Miller and Charlton 2007;Somasundaram and Palmer 2016), nondestructive material identification (Gao and Zhao 2010;Dorn 2000;Kauati, Silva Neto, and Roberty 2001;Haltmeier, Neumann, and Rabanser 2015) and oil well logging (Badruzzaman 1991).…”

Section: Introductionmentioning

confidence: 99%

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Energy Dependent Source Reconstructions via Explicit Formulations of the Adjoint Particles Flux

Pazinatto

Barichello

2018

Journal of Computational and Theoretical Transport

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An analytical solution to the discrete ordinates approximation of the adjoint to the multigroup transport equation in onedimensional slab geometry is developed in this work, in order to be used in source estimation problems. The solution is firstly tested in a source-detector problem, where explicit expressions are derived to approximate the absorption rate of particles of internal detectors. Noisy data generated from readings of internal detectors were then used, along with the adjoint formulation, in an iterative process to solve an energydependent inverse problem of source reconstruction in the cases of polynomials and piecewise constant sources. The approach is shown to be fast and accurate.

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“…(3) where we define the inner product (Somasundaram and Palmer 2016) 1 illustrates the location of the detector within the slab.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Energy Dependent Source Reconstructions via Explicit Formulations of the Adjoint Particles Flux

Pazinatto

Barichello

2018

Journal of Computational and Theoretical Transport

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An analytical discrete ordinates nodal solution to the two-dimensional adjoint transport problem

Barichello

Pazinatto

Rui

2020

Annals of Nuclear Energy

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Density-extrapolation Global Variance Reduction (DeGVR) method for large-scale radiation field calculation

Pan

Wang

Cai

et al. 2023

Computers & Mathematics with Applications

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Application of Variational Variance Reduction for Source-Detector Problems in Nuclear Non-proliferation

Cited by 5 publications

References 7 publications

Energy Dependent Source Reconstructions via Explicit Formulations of the Adjoint Particles Flux

Energy Dependent Source Reconstructions via Explicit Formulations of the Adjoint Particles Flux

An analytical discrete ordinates nodal solution to the two-dimensional adjoint transport problem

Density-extrapolation Global Variance Reduction (DeGVR) method for large-scale radiation field calculation

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