Accurate Front Capturing Asymptotic Preserving Scheme for Nonlinear Gray Radiative Transfer Equation

DOI10.1137/20M1318031zbMath1469.65141arXiv1811.05579OpenAlexW3169094450MaRDI QIDQ4997396

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Publication date: 29 June 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05579

zbMATH Keywords

radiative transfer equationnon-linearityasymptotic preservingfront capturing

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Integro-partial differential equations (35R09) Radiative heat transfer (80A21)

Related Items (6)

A spatial-temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit ⋮ An asymptotic-preserving IMEX method for nonlinear radiative transfer equation ⋮ Solving multiscale steady radiative transfer equation using neural networks with uniform stability ⋮ High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations ⋮ A fully asymptotic preserving decomposed multi-group method for the frequency-dependent radiative transfer equations ⋮ Unified gas-kinetic particle method for frequency-dependent radiation transport

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