$hp$-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems

DOI10.1137/16M1079944zbMath1385.82001OpenAlexW2737672067MaRDI QIDQ5364203

Steven Murphy, Edward J. C. Hall, Paul Houston

Publication date: 4 October 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1079944

zbMATH Keywords

criticalitydiscontinuous Galerkin methodsnuclear reactora posteriori error estimationneutron transport\(hp\)-adaptivity

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Transport processes in time-dependent statistical mechanics (82C70) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Nuclear reactor theory; neutron transport (82D75)

Related Items

Goal-based angular adaptivity for Boltzmann transport in the presence of ray-effects, Fast, low-memory numerical methods for radiative transfer via \(hp\)-adaptive mesh refinement, Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes, Scalable angular adaptivity for Boltzmann transport, Linearization of the Travel Time Functional in Porous Media Flows

Uses Software

• HSL
• ARPACK
• MONK

Cites Work

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