A quadratic programming flux correction method for high-order DG discretizations of \(S_N\) transport

DOI10.1016/j.jcp.2020.109696OpenAlexW2978979041MaRDI QIDQ2125461

Peter G. Maginot, Vladimir Tomov, Samuel Olivier, Ben C. Yee, Terry S. Haut, Milan Holec

Publication date: 14 April 2022

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

Full work available at URL: https://arxiv.org/abs/1910.02918

zbMATH Keywords

accelerationdiscontinuous Galerkinthermal radiative transferfixup

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (4)

A variable Eddington factor method with different spatial discretizations for the radiative transfer equation and the hydrodynamics/radiation-moment equations ⋮ Meshless discretization of the discrete-ordinates transport equation with integration based on Voronoi cells ⋮ High-Order Mixed Finite Element Variable Eddington Factor Methods ⋮ A family of independent variable Eddington factor methods with efficient preconditioned iterative solvers

Uses Software

• SuperLU

Cites Work

• High-order solution methods for grey discrete ordinates thermal radiative transfer
• High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation
• Shape preserving representations and optimality of the Bernstein basis
• A non-negative moment-preserving spatial discretization scheme for the linearized Boltzmann transport equation in 1-D and 2-D Cartesian geometries
• New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds
• Spatial differencing of the transport equation: Positivity vs. accuracy
• High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations
• Bernstein–Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures
• High-Order Multi-Material ALE Hydrodynamics
• An overview of SuperLU
• High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
• Variable Eddington Factor Method for the S_N Equations with Lumped Discontinuous Galerkin Spatial Discretization Coupled to a Drift-Diffusion Acceleration Equation with Mixed Finite-Element Discretization
• A quasi-diffusion method of solving the kinetic equation

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