Discontinuous Galerkin finite element method applied to the 1D spherical neutron transport equation

DOI10.1016/j.jcp.2006.08.020zbMath1113.65111OpenAlexW2034540437MaRDI QIDQ876423

Eric A. Machorro

Publication date: 18 April 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.08.020

zbMATH Keywords

comparison of methodsfinite elementsnumerical examplesdiscontinuous Galerkin methodslinear hyperbolic equationcorner balance methoddiamond difference methodspherical geometry Sn equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Numerical study of signal propagation in corrugated coaxial cables ⋮ Least-Squares Finite Element Discretization of the Neutron Transport Equation in Spherical Geometry ⋮ An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell's equations in metamaterials ⋮ Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates ⋮ Fractional-order modeling of neutron transport in a nuclear reactor ⋮ High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations

Cites Work

• A Petrov-Galerkin finite element method for solving the neutron transport equation
• A Finite Element Method for the Neutron Transport Equation in an Infinite Cylindrical Domain
• Subcell balance methods for radiative transfer on arbitrary grids
• An accurate, strictly-positive, nonlinear characteristic scheme for the discrete-ordinate equations
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