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Journal of Computational and Theoretical Transport Volume 45, 2016 - Issue 4: Special Issue Part 2 of 5: Papers from the 24th International Conference on Transport Theory
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Original Articles

Recent Studies on the Asymptotic Convergence of the Spatial Discretization for Two-Dimensional Discrete Ordinates Solutions

L. B. BarichelloInstituto de Matemática e Estatística, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, BrasilCorrespondence[email protected]
,
A. TresInstituto de Matemática e Estatística, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brasil
,
C. B. PicolotoInstituto de Matemática e Estatística, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brasil
&
Y. Y. AzmyDepartment of Nuclear Engineering, North Carolina State University, Raleigh, NC, USA
Pages 299-313 | Published online: 13 Jul 2016

Citations (13)

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Read on this site (3)

Karine Rui, Liliane Basso Barichello & Rudnei Dias da Cunha. (2020) Recent Studies on Two-Dimensional Radiative Transfer Problems in Anisotropic Scattering Media. Journal of Computational and Theoretical Transport 49:5, pages 233-266.
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C. B. Pazinatto & L. B. Barichello. (2019) On the use of the adjoint operator for source reconstruction in particle transport problems. Inverse Problems in Science and Engineering 27:4, pages 513-539.
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E. Sauter, F. S. de Azevedo & P. H. A. Konzen. (2018) Nyström Method Applied to the Transport Equation in a Semi-Reflective Rectangle. Journal of Computational and Theoretical Transport 47:4-6, pages 520-541.
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Articles from other publishers (10)

Pedro Henrique de Almeida Konzen, Leonardo Fernandes Guidi & Thomas Richter. (2023) Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering. Defect and Diffusion Forum 427, pages 109-119.
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Liliane Basso Barichello, Karine Rui & Rudnei Dias da Cunha. (2022) On the application of the ADO method to the solution of two-dimensional radiative transfer problems in anisotropic scattering media. International Journal of Thermal Sciences 179, pages 107685.
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E. L. Gaggioli, D. M. Mitnik & O. P. Bruno. (2021) Skin effect in neutron transport theory. Physical Review E 104:3.
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Guangchun Zhang & Zhifeng Li. (2021) Marvin: A parallel three-dimensional transport code based on the discrete ordinates method for reactor shielding calculations. Progress in Nuclear Energy 137, pages 103786.
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César Bublitz, Fabio S. de Azevedo & Esequia Sauter. (2020) Nyström method applied to the transport equation in an axisymmetric cylinder. Annals of Nuclear Energy 148, pages 107701.
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Xiaoyu Hu & Yousry Y. Azmy. (2020) Asymptotic convergence of the angular discretization error in the scalar flux computed from the particle transport equation with the method of discrete ordinates. Annals of Nuclear Energy 138, pages 107199.
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Pedro Henrique de Almeida Konzen, Leonardo Fernandes Guidi & Thomas Richter. (2019) Quasi-random discrete ordinates method for neutron transport problems. Annals of Nuclear Energy 133, pages 275-282.
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S.R. Cromianski, K. Rui & L.B. Barichello. (2019) A study on boundary fluxes approximation in explicit nodal formulations for the solution of the two-dimensional neutron transport equation. Progress in Nuclear Energy 110, pages 354-363.
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F.S. de Azevedo, E. Sauter, P.H.A. Konzen, M. Thompson & L.B. Barichello. (2018) Integral formulation and numerical simulations for the neutron transport equation in X - Y geometry. Annals of Nuclear Energy 112, pages 735-747.
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L.B. Barichello, C.B. Picoloto & R.D. da Cunha. (2017) The ADO-nodal method for solving two-dimensional discrete ordinates transport problems. Annals of Nuclear Energy 108, pages 376-385.
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