A variable Eddington factor method with different spatial discretizations for the radiative transfer equation and the hydrodynamics/radiation-moment equations

DOI10.1016/J.JCP.2021.110393OpenAlexW3157913908MaRDI QIDQ2129279

Jijie Lou, Jim E. Morel

Publication date: 22 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110393

zbMATH Keywords

discontinuous Galerkinradiation-hydrodynamicsvariable Eddington factormixed finite-element

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Shock waves and blast waves in fluid mechanics (76Lxx)

Related Items (1)

High-Order Mixed Finite Element Variable Eddington Factor Methods

Cites Work

• Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
• Radiative shock solutions with grey nonequilibrium diffusion
• A quadratic programming flux correction method for high-order DG discretizations of \(S_N\) transport
• A variable Eddington factor method for the 1-D grey radiative transfer equations with discontinuous Galerkin and mixed finite-element spatial differencing
• An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes
• Second-order discretization in space and time for radiation-hydrodynamics
• An asymptotic preserving scheme for hydrodynamics radiative transfer models. Numerics for radiative transfer
• Asymptotic preserving and positive schemes for radiation hydrodynamics
• 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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