Transport-diffusion interfaces in radiative transfer

DOI10.1016/0021-9991(79)90153-0zbMath0439.45013OpenAlexW2056276383MaRDI QIDQ1142391

G. M. Foglesong, G. C. Pomraning

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-9991(79)90153-0

zbMATH Keywords

finite difference approximationMilne problemBrockway conditionsdiffusion approximations in optically thick regionsMarshak (Milne) interface conditionsradiative transfer problemstransport computations in optically thin regions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Radiative transfer in astronomy and astrophysics (85A25) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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A hybrid transport-diffusion method for Monte Carlo radiative-transfer simulations ⋮ A sixth-order finite difference HWENO scheme for nonlinear degenerate parabolic equation ⋮ A hybrid symbolic Monte-Carlo method for radiative transfer equations ⋮ Hybrid HWENO method for nonlinear degenerate parabolic equations ⋮ Control of modeling errors in the coupling of linear transport and diffusion models ⋮ Implicit Monte Carlo diffusion -- an acceleration method for Monte Carlo time-dependent radiative transfer simulations

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