Second-order discretization in space and time for radiation-hydrodynamics

DOI10.1016/j.jcp.2017.02.063zbMath1415.65184OpenAlexW2302877946MaRDI QIDQ2424491

Robert B. Lowrie, Simon Bolding, Jarrod D. Edwards, Joshua E. Hansel, Jim E. Morel

Publication date: 24 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.02.063

zbMATH Keywords

second-order accuracymanufactured solutionsradiation-hydrodynamicsradiative shocksMUSCL HancockTR/BDF2

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (9)

High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit ⋮ Algorithm of radiation hydrodynamics with nonorthogonal mesh for 3D implosion problem ⋮ A variable Eddington factor method with different spatial discretizations for the radiative transfer equation and the hydrodynamics/radiation-moment equations ⋮ A spatial-temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit ⋮ The large time behavior of strong solutions to a P1-approximation arising in radiating hydrodynamics ⋮ A variable Eddington factor method for the 1-D grey radiative transfer equations with discontinuous Galerkin and mixed finite-element spatial differencing ⋮ An Implicit-Explicit Scheme for the Radiation Hydrodynamics ⋮ Entropy-based artificial viscosity stabilization for non-equilibrium grey radiation-hydrodynamics ⋮ Numerical methods for coupling multigroup radiation with ion and electron temperatures

Uses Software

• HE-E1GODF

Cites Work

• A comparison of implicit time integration methods for nonlinear relaxation and diffusion
• A second order self-consistent IMEX method for radiation hydrodynamics
• Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion
• The effects of slope limiting on asymptotic-preserving numerical methods for hyperbolic conservation laws
• A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems
• Second-order time evolution of \(P_N\) equations for radiation transport
• A higher-order Godunov method for radiation hydrodynamics: radiation subsystem
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• Upwind monotonic interpolation methods for the solution of the time dependent radiative transfer equation
• Numerical simulations for radiation hydrodynamics. I: Diffusion limit
• Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration
• A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
• Radiative shock solutions with grey nonequilibrium diffusion
• Numerical analysis of time integration errors for nonequilibrium radiation diffusion
• On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime
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