Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion

DOI10.1016/j.jcp.2010.10.035zbMath1218.80019OpenAlexW2050959118MaRDI QIDQ630350

Dana A. Knoll, Jim E. Morel, Jarrod D. Edwards

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.10.035

zbMATH Keywords

nonlinear radiative diffusiontrapezoidal BDF-2

Mathematics Subject Classification ID

Related Items (10)

Parallel implementation for the two-stage SDIRK methods via diagonalization ⋮ A variable Eddington factor method with different spatial discretizations for the radiative transfer equation and the hydrodynamics/radiation-moment equations ⋮ Semi-implicit front capturing schemes for the degenerate nonlinear radiative diffusion equation ⋮ High-order solution methods for grey discrete ordinates thermal radiative transfer ⋮ A maximum principle preserving implicit Monte Carlo method for frequency-dependent radiative transfer equations ⋮ Second-order discretization in space and time for radiation-hydrodynamics ⋮ Numerical approximation of a 3D mechanochemical interface model for skin patterning ⋮ A variable Eddington factor method for the 1-D grey radiative transfer equations with discontinuous Galerkin and mixed finite-element spatial differencing ⋮ New self-similar radiation-hydrodynamics solutions in the high-energy density, equilibrium diffusion limit ⋮ The TR-BDF2 method for second order problems in structural mechanics

Cites Work

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• A comparison of implicit time integration methods for nonlinear relaxation and diffusion
• Trees and numerical methods for ordinary differential equations
• Analysis of a Monte Carlo method for nonlinear radiative transfer
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Numerical analysis of time integration errors for nonequilibrium radiation diffusion
• Solution ofthe DiscontinuousP₁Equations in Two-Dimensional Cartesian Geometry with Two-Level Preconditioning

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