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Listar por palabra clave "Nodal collocation method"

Mostrando ítems 1-8 de 8

A study of the radiative transfer equation using a spherical harmonics-nodal collocation method

Capilla Romá, Maria Teresa; Talavera Usano, César Félix; Ginestar Peiro, Damián; Verdú Martín, Gumersindo Jesús (Elsevier, 2017)

[EN] Optical tomography has found many medical applications that need to know how the photons interact with the different tissues. The majority of the photon transport simulations are done using the diffusion approximation, ...
Analysis of the PHWR benchmark transient using a high-order spherical harmonics-nodal collocation method and treatment of rod cusping effect

Capilla Romá, Maria Teresa; Talavera Usano, César Félix; Ginestar Peiro, Damián; Verdú Martín, Gumersindo Jesús (Elsevier, 2021-05)

[EN] We develop and validate node homogenization methods, based on one and three-dimensional node equivalent problems, that improve the volume weighted method for the treatment of the rod cusping effect. The numerical ...
Application of a nodal collocation approximation for the multidimensional P-L equations to the 3D Takeda benchmark problems

Capilla Romá, Maria Teresa; Talavera Usano, César Félix; Ginestar Peiro, Damián; Verdú Martín, Gumersindo Jesús (Elsevier Masson, 2012-02)

PL equations are classical approximations to the neutron transport equations, which are obtained expanding the angular neutron flux in terms of spherical harmonics. These approximations are useful to study the behavior of ...
Computation of the C5G7 neutron transport benchmark using a spherical harmonics-nodal collocation method

Capilla Romá, Maria Teresa; Talavera Usano, César Félix; Ginestar Peiro, Damián; Verdú Martín, Gumersindo Jesús (International Center for Numerical Methods in Engineering (CIMNE), 2017-07-05)

[EN] The spherical harmonics method is applied to the angular dependence of the neutron transport equation, obtaining a finite approximation known as the PL equations, that are rewritten as a vector-valued second order ...
High-order spherical harmonics-nodal collocation scheme for the numerical solution of the time-dependent radiative transfer equation

Capilla Romá, Maria Teresa; Talavera Usano, César Félix (Optical Society of America, 2019-01-01)

[EN] The validity of the spherical harmonics-nodal collocation approximation to the stationary Boltzmann equation has been established in multi-dimensional neutron transport problems. This is a high-order approximation ...
Nodal collocation method for the multidimensional PL equations applied to neutron transport source problems

Capilla Romá, Maria Teresa; Talavera Usano, César Félix; Ginestar Peiro, Damián; Verdú Martín, Gumersindo Jesús (Elsevier Masson, 2016-01)

A PL spherical harmonics-nodal collocation method is applied to the solution of the multidimensional neutron source transport equation. Vacuum boundary conditions are approximated by setting Marshak's ...
Numerical analysis of the 2D C5G7 MOX benchmark using PL equations and a nodal collocation method

Capilla Romá, Maria Teresa; Talavera Usano, César Félix; Ginestar Peiro, Damián; Verdú Martín, Gumersindo Jesús (Elsevier, 2018)

[EN] A classical discretization for the angular dependence of the neutron transport equation is based on a truncated spherical harmonics expansion. The resulting system of equations are the PL equations. We review the ...
Validation of the SHNC time-dependent transport code based on the spherical harmonics method for complex nuclear fuel assemblies

Capilla Romá, Maria Teresa; Talavera Usano, César Félix; Ginestar Peiro, Damián; Verdú Martín, Gumersindo Jesús (Elsevier, 2020-09)

[EN] The diffusion approximation to the time-dependent Boltzmann transport equation gives accurate results for traditional nuclear reactor designs, but new reactor designs and new fuel elements require neutron transport ...