Results 1 to 10 of about 42,606 (261)
Science and Technology of Nuclear Installations, 2023 In this work, the response matrix-exponential nodal method is presented to solve fixed source neutral particle transport problems with isotropic scattering and discrete ordinates formulation in two-dimensional Cartesian geometry.
Iram B. Rivas-Ortiz +3 more
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A stabilised nodal spectral element method for fully nonlinear water waves [PDF]
Journal of Computational Physics, 2016 Accepted for publication in Journal of Computational Physics April 29 ...
A.P. Engsig-Karup +2 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, 2022 In source–detector problems, neutron leakage is a quantity of interest that could lead to improve shielding structures, thus reducing the dose received by humans.
Jesús Pérez Curbelo +1 more
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Brazilian Journal of Radiation Sciences, 2021 Presented here is an extension of the spectral Green’s function-constant nodal (SGF-CN) method for the numerical solution of energy multigroup, fixed-source, discrete ordinates (SN) problems in X, Y-geometry with arbitrary L’th-order of scattering ...
Welton Menezes +2 more
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Brazilian Journal of Radiation Sciences, 2021 In this paper, we propose a numerical methodology for the development of a method of the spectral nodal class that generates numerical solutions free from spatial truncation errors.
Amaury Muñoz Oliva +3 more
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Analysis of High-order Approximations by Spectral Interpolation Applied to One- and Two-dimensional Finite Element Method [PDF]
Journal of Applied and Computational Mechanics, 2020 The implementation of high-order (spectral) approximations associated with FEM is an approach to overcome the difficulties encountered in the numerical analysis of complex problems.
Luís Philipe Ribeiro Almeida +2 more
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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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A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations [PDF]
Communications in Computational Physics, 2012 AbstractAn unstructured nodal spectral-element method for the Navier-Stokes equations is developed in this paper. The method is based on a triangular and tetrahedral rational approximation and an easy-to-implement nodal basis which fully enjoys the tensorial product property.
Chen, Lizhen, Shen, Jie, Xu, Chuanju
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Spectral Method with the Tensor-Product Nodal Basis for the Steklov Eigenvalue Problem [PDF]
Mathematical Problems in Engineering, 2013 This paper discusses spectral method with the tensor-product nodal basis at the Legendre-Gauss-Lobatto points for solving the Steklov eigenvalue problem. A priori error estimates of spectral method are discussed, and based on the work of Melenk and Wohlmuth (2001), a posterior error estimator of the residual type is given and analyzed.
Zhang, Xuqing, Yang, Yidu, Bi, Hai
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