A non-negative moment-preserving spatial discretization scheme for the linearized Boltzmann transport equation in 1-D and 2-D Cartesian geometries

DOI10.1016/j.jcp.2012.06.018zbMath1284.65094OpenAlexW2039025655MaRDI QIDQ2446914

Jean C. Ragusa, Peter G. Maginot, Jim E. Morel

Publication date: 23 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.06.018

zbMATH Keywords

discrete ordinates methodradiation transportdiscontinuous finite elementsstrictly non-negative closure

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (4)

A quadratic programming flux correction method for high-order DG discretizations of \(S_N\) transport ⋮ High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes ⋮ \(S_{2}SA\) preconditioning for the \(S_n\) equations with strictly nonnegative spatial discretization ⋮ High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations

Uses Software

• Matlab

Cites Work

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• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• Convergence of a Fully Discrete Scheme for Two-Dimensional Neutron Transport
• Adaptive characteristic spatial quadratures for discrete ordinates neutral particle transport—the rectangular cell case
• An accurate, strictly-positive, nonlinear characteristic scheme for the discrete-ordinate equations

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