Numerical simulations for radiation hydrodynamics. I: Diffusion limit

DOI10.1006/jcph.1998.5940zbMath0933.76057OpenAlexW2069128236MaRDI QIDQ1289129

Wenlong Dai, Paul R. Woodward

Publication date: 29 March 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.5940

zbMATH Keywords

fast convergenceGodunov schemeiterative solverhyperbolic system of conservation lawssecond-order accurate finite difference schemenonlinear Riemann solverlinear Riemann solver

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items

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, Flux limiters in the coupling of radiation and hydrodynamic models, A hybrid Godunov method for radiation hydrodynamics, Fully implicit 1D radiation hydrodynamics: Validation and verification, A second order self-consistent IMEX method for radiation hydrodynamics, Second-order discretization in space and time for radiation-hydrodynamics, Multiscale simulation for the system of radiation hydrodynamics, Diffusion approximation in a radiative transfer model for astrophysical flows, Numerical simulations for radiation hydrodynamics. II: Transport limit, Second-order direct Eulerian GRP schemes for radiation hydrodynamical equations, An Implicit-Explicit Scheme for the Radiation Hydrodynamics, 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, Entropy-based artificial viscosity stabilization for non-equilibrium grey radiation-hydrodynamics, Kinetic flux vector splitting for radiation hydrodynamical equations, An adaptive higher order method for solving the radiation transport equation on unstructured grids, Numerical treatment of radiative transfer

Cites Work

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• The piecewise parabolic method (PPM) for gas-dynamical simulations
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• An implicit-explicit hybrid method for Lagrangian hydrodynamics
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Higher order Godunov methods for general systems of hyperbolic conservation laws
• Front tracking for hyperbolic systems
• Approximate Riemann solvers, parameter vectors, and difference schemes
• On multiple grid and related techniques for solving discrete elliptic systems
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• A simple Riemann solver and high-order Godunov schemes for hyperbolic systems of conservation laws
• Iterative implementation of an implicit-explicit hybrid scheme for hydrodynamics
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Three-Level Galerkin Methods for Parabolic Equations
• The speed of convergence of one iterative process
• On the Construction and Comparison of Difference Schemes
• A Linear Three-Level Difference Scheme for Quasilinear Parabolic Equations