Discontinuous diffusion synthetic acceleration for \(S_n\) transport on 2D arbitrary polygonal meshes

DOI10.1016/j.jcp.2014.05.044zbMath1351.82089OpenAlexW2052927332MaRDI QIDQ728628

Bruno Turcksin, Jean C. Ragusa

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.05.044

zbMATH Keywords

interior penalty methoddiscontinuous finite element methoddiffusion synthetic accelerationpiece-wise linear finite elementsn transport equation

Mathematics Subject Classification ID

Related Items (8)

Massively parallel transport sweeps on meshes with cyclic dependencies ⋮ Discontinuous Galerkin solutions for elliptic problems on polygonal grids using arbitrary-order Bernstein-Bézier functions ⋮ Discontinuous finite element solution of the radiation diffusion equation on arbitrary polygonal meshes and locally adapted quadrilateral grids ⋮ Pin-wise homogenization for \(\mathrm{SP}_N\) neutron transport approximation using the finite element method ⋮ Optimal trace inequality constants for interior penalty discontinuous Galerkin discretisations of elliptic operators using arbitrary elements with non-constant Jacobians ⋮ An iterative \(\mathrm{KP}_1\) method for solving the transport equation in 3D domains on unstructured grids ⋮ A cascadic multigrid asymptotic-preserving discrete ordinate discontinuous streamline diffusion method for radiative transfer equations with diffusive scalings ⋮ Quadratic serendipity discontinuous finite element discretization for \(S_N\) transport on arbitrary polygonal grids

Uses Software

• ML
• AGMG

Cites Work

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• An Interior Penalty Finite Element Method with Discontinuous Elements
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• A Multigrid Tutorial, Second Edition
• A Parallel Graph Coloring Heuristic
• Angular Multigrid Preconditioner for Krylov-Based Solution Techniques Applied to theS_nEquations with Highly Forward-Peaked Scattering

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