A geometry preserving, conservative, mesh-to-mesh isogeometric interpolation algorithm for spatial adaptivity of the multigroup, second-order even-parity form of the neutron transport equation

DOI10.1016/j.jcp.2017.06.015zbMath1380.65290OpenAlexW2728611735MaRDI QIDQ683393

J. Kópházi, A. R. Owens, J. A. Welch, Matthew D. Eaton

Publication date: 6 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.06.015

zbMATH Keywords

multigroupneutron transportisogeometric analysisenergy-dependent meshes

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Nuclear reactor theory; neutron transport (82D75)

Related Items (3)

Spatial adaptivity of the SAAF and weighted least squares (WLS) forms of the neutron transport equation using constraint based, locally refined, isogeometric analysis (IGA) with dual weighted residual (DWR) error measures ⋮ Energy dependent mesh adaptivity of discontinuous isogeometric discrete ordinate methods with dual weighted residual error estimators ⋮ NURBS Enhanced Virtual Element Methods for the Spatial Discretization of the Multigroup Neutron Diffusion Equation on Curvilinear Polygonal Meshes

Uses Software

• PETSc

Cites Work

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• Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines
• Minimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshes
• Conservative interpolation between volume meshes by local Galerkin projection
• Isogeometric analysis using T-splines
• Discretizations in isogeometric analysis of Navier-Stokes flow
• Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Energy dependent mesh adaptivity of discontinuous isogeometric discrete ordinate methods with dual weighted residual error estimators
• Discontinuous isogeometric analysis methods for the first-order form of the neutron transport equation with discrete ordinate (\(S_N\)) angular discretisation

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