Time step size selection for radiation diffusion calculations

DOI10.1006/jcph.1999.6266zbMath0940.65101OpenAlexW1975703406MaRDI QIDQ1302939

William J. Rider, Dana A. Knoll

Publication date: 10 July 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1999.6266

zbMATH Keywords

numerical experimentstime-step controlradiation-diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (13)

Efficient smoothed particle radiation hydrodynamics. I: Thermal radiative transfer ⋮ On balanced approximations for time integration of multiple time scale systems. ⋮ Parallelization methods for solving three-temperature radiation-hydrodynamic problems ⋮ A comparison of implicit time integration methods for nonlinear relaxation and diffusion ⋮ A second order self-consistent IMEX method for radiation hydrodynamics ⋮ New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion ⋮ Jacobian-free Newton-Krylov methods: a survey of approaches and applications. ⋮ A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems ⋮ On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime ⋮ A multigrid preconditioner and automatic differentiation for non-equilibrium radiation diffusion problems ⋮ Self-adaptive time integration of flux-conservative equations with sources ⋮ Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration ⋮ Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion

Cites Work

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• A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion
• Iterative linear solvers in a 2D radiation-hydrodynamics code: Methods and performance

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