Second-order time evolution of \(P_N\) equations for radiation transport

DOI10.1016/j.jcp.2009.01.012zbMath1161.65078OpenAlexW2027194165MaRDI QIDQ1013190

Gordon L. Olson

Publication date: 17 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.01.012

zbMATH Keywords

numerical examplesoscillationsradiation transportradiation diffusionflux-limited diffusionspherical harmonics method\(PN\) methodartificial scatteringevolution algorithm

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

Related Items (17)

An asymptotic-preserving IMEX method for nonlinear radiative transfer equation ⋮ A realizability-preserving discontinuous Galerkin method for the \(M_1\) model of radiative transfer ⋮ A new spherical harmonics scheme for multi-dimensional radiation transport. I: Static matter configurations ⋮ Positivity limiters for filtered spectral approximations of linear kinetic transport equations ⋮ Second-order discretization in space and time for radiation-hydrodynamics ⋮ Simulating radiative transfer with filtered spherical harmonics ⋮ Alternate closures for radiation transport using Legendre polynomials in 1D and spherical harmonics in 2D ⋮ Multiscale simulation for the system of radiation hydrodynamics ⋮ Second order time evolution of the multigroup diffusion and \(P_{1}\) equations for radiation transport ⋮ Robust and accurate filtered spherical harmonics expansions for radiative transfer ⋮ Semi-implicit hybrid discrete \(\left(\mathrm{H}^T_N\right)\) approximation of thermal radiative transfer ⋮ Moment Analysis of Angular APproximation Methods for Time-Dependent Radiation Transport ⋮ Positive Filtered P$_N$ Moment Closures for Linear Kinetic Equations ⋮ Multilevel quasidiffusion method with mixed-order time discretization for multigroup thermal radiative transfer problems ⋮ StaRMAP---A Second Order Staggered Grid Method for Spherical Harmonics Moment Equations of Radiative Transfer ⋮ Positivity enhancements to the P_n transport equations ⋮ Stretched and Filtered Multigroup P_n Transport for Improved Positivity and Accuracy

Cites Work

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• A comparison of implicit time integration methods for nonlinear relaxation and diffusion
• Semi-implicit time integration for \(P_N\) thermal radiative transfer
• New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion
• Efficient solution of multi-dimensional flux-limited nonequilibrium radiation diffusion coupled to material conduction with second-order time discretization
• Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer
• On solutions to the \(P_n\) equations for thermal radiative transfer

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