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COMPARING THE DISCONTINUOUS GALERKIN AND HIGH-ORDER DIAMOND DIFFERENCING METHODS FOR THE TRANSPORT EQUATION ON A LOZENGE-BASED HEXAGONAL GEOMETRY [PDF]
EPJ Web of Conferences, 2021 This paper presents an implementation and a comparison of two spatial discretisation schemes over a hexagonal geometry for the two-dimensional discrete ordinates transport equation.
Calloo Atyab A., Hébert Alain
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Sparse Discrete Ordinates Method in Radiative Transfer [PDF]
Computational Methods in Applied Mathematics, 2011 AbstractThe stationary monochromatic radiative transfer equation (RTE) is a partial differential transport equation stated on a five-dimensional phase space, the Cartesian product of physical and angular domain. We solve the RTE with a Galerkin FEM in physical space and collocation in angle, corresponding to a discrete ordinates method (DOM)
Grella, Konstantin, Schwab, Christoph
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Ray Effects and False Scattering in Improved Discrete Ordinates Method
Energies, 2021 The improved discrete ordinates method (IDOM) developed in our previous paper is extended to solve radiative transfer in three-dimensional radiative systems with anisotropic scattering medium.
Yong Cheng, Shuihua Yang, Zhifeng Huang
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Frontiers in Energy Research, 2023 A parallel Jacobian-Free Newton Krylov discrete ordinates method (comePSn_JFNK) is proposed to solve the multi-dimensional multi-group pin-by-pin neutron transport models, which makes full use of the good efficiency and parallel performance of the JFNK ...
Yangyi Zhang, Xiafeng Zhou, Xiafeng Zhou
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DAPHNE-3D: A NEW TRANSPORT SOLVER FOR UNSTRUCTURED TETRAHEDRAL MESHES [PDF]
EPJ Web of Conferences, 2021 A new Discrete Ordinates transport solver for unstructured tetrahedral meshes is presented. The solver uses the Discontinuous Galërkin Finite Element Method with linear or quadratic expansion of the flux within each cell.
Diamantopoulou Evangelia +1 more
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An hp-angular adaptivity with the discrete ordinates method for Boltzmann transport equation
Nuclear Engineering and Technology, 2023 This paper describes an hp-angular adaptivity algorithm in the discrete ordinates method for Boltzmann transport applications with strong angular effects.
Ni Dai +4 more
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Vetor, 2021 In this work, we present the most recent numerical results in a nodal approach, which resulted in the development of a new numerical spectral nodal method, based on the spectral analysis of the multigroup, isotropic scattering neutron transport equations
Amaury Munoz Oliva, Hermes Alves Filho
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Brazilian Journal of Radiation Sciences, 2021 A new approach for the application of the coarse–mesh Modified Spectral Deterministic method to numerically solve the two–dimensional neutron transport equation in the discrete ordinates (Sn) formulation is presented in this work.
Jesús Pérez Curbelo +4 more
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Trends in Computational and Applied Mathematics, 2019 Nowadays, the obtainment of an accurate numerical solution of fixed source discrete ordinates problems is relevant in many areas of engineering and science.
Iram Barbaro Rivas-Ortiz +4 more
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Discontinuous finite-element quadrature sets based on icosahedron for the discrete ordinates method
Nuclear Engineering and Technology, 2020 The discrete ordinates method (SN) is one of the major shielding calculation method, which is suitable for solving deep-penetration transport problems.
Ni Dai, Bin Zhang, Yixue Chen
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