Quasi-random discrete ordinates method for neutron transport problems

Konzen, Pedro Henrique de Almeida; Guidi, Leonardo Fernandes; Richter, Thomas

doi:10.1016/j.anucene.2019.05.017

Cited by 5 publications

(4 citation statements)

References 37 publications

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“…The QRDOM to transport problems with isotropic scattering is explained in detail in [25]. Here, it is extended to solve the transport problem Eqs.…”

Section: Qrdom For Linear Anisotropic Scatteringmentioning

confidence: 99%

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Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering

Konzen

Guidi

Richter

2023

DDF

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The modeling of energy transport via radiative transfer is important to many practical high temperature engineering applications. Furthermore, the computation of solutions to the radiative transfer equation (RTE) plays a fundamental part in it. The quasi-random discrete ordinates method was developed as an alternative to mitigate the ray effect found in the classical discrete ordinates method solutions. The former method was originally developed for transport problems with isotropic scattering and it is here extended and tested to problems with linear anisotropic scattering. Its main idea is to approximate the integral term of the RTE by a quasi-Monte Carlo integration. The discrete system of differential equations arising from it can be solved by a variety of classical discretization methods, here computed with a SUPG finite element scheme. The novel developments are tested for selected manufactured solutions. The achieved good results indicate the potential of the novel method to be applied to the solution of radiative transfer problems with anisotropic scattering.

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“…The QRDOM to transport problems with isotropic scattering is explained in detail in [25]. Here, it is extended to solve the transport problem Eqs.…”

Section: Qrdom For Linear Anisotropic Scatteringmentioning

confidence: 99%

“…The quasi-random discrete ordinates method (QRDOM, [25]) is an alternative technique that maintains most characteristics of the DOM with mitigated ray effects. Its central idea is to explore a quasi-Monte Carlo integration [26] within the classical source iteration technique.…”

Section: Introductionmentioning

confidence: 99%

Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering

Konzen

Guidi

Richter

2023

DDF

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show abstract

“…The QRDOM to transport problems with isotropic scattering is explain in detail in Konzen et al (2019). Here, it is extended to solve the transport problem Eq.…”

Section: Qrdom For Linear Anisotropic Scatteringmentioning

confidence: 99%

“…The Quasi-Random Discrete Ordinates Method (QRDOM, Konzen et al (2019)) is an alternative technique that maintains most characteristics of the DOM with mitigated ray effects. Its central idea is to explore a quasi-Monte Carlo integration (Leobacher & Phillichshammer (2014)) within the classical source iteration technique.…”

mentioning

confidence: 99%

Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation With Linear Anisotropic Scattering

Konzen¹,

Guidi²,

Richter³

2022

Anais Do(a) Anais Do Encontro Nacional De Modelagem Computacional, Encontro De Ciência E Tecnologia De Materiais, Conferência S

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The modelling of the energy transport via radiative transfer is important to many practical high temperature engineering applications. And, the computation of solutions to the radiative transfer equation (RTE) plays a fundamental part in it. The quasi-random discrete ordinates method was developed as an alternative to mitigate the ray effect found in the classical discrete ordinates method solutions. The former method was originally developed for transport problems with isotropic scattering and it is here extended an applied to a problem with linear anisotropic scattering. Its main idea is to approximate the integral term of the RTE by a quasi-Monte Carlo integration. The discrete system of differential equations arising from it can be solved by a variety of classical discretization methods, and here it is computed with the finite element method. The novel developments are tested for a selected manufactured solution. And, the achieved good results indicate the potential of the novel method to be applied to the solution of radiative transfer problems with anisotropic scattering.

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Wavelet-based angular discretization finite difference method for neutron transport equation solving

Chi

Wang

2023

Annals of Nuclear Energy

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Quasi-random discrete ordinates method for neutron transport problems

Cited by 5 publications

References 37 publications

Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering

Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering

Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation With Linear Anisotropic Scattering

Wavelet-based angular discretization finite difference method for neutron transport equation solving

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