Upwind monotonic interpolation methods for the solution of the time dependent radiative transfer equation
type: Item
instance of: scholarly article
title: Upwind monotonic interpolation methods for the solution of the time dependent radiative transfer equation
zbMATH Open document ID: 0762.65084
DOI: 10.1016/0021-9991(92)90246-U
author: James M. Stone
author: Dimitri Mihalas
published in: Journal of Computational Physics
publication date: 1992-11-23T00:00:00Z
review text: The paper deals with numerical finite difference schemes for the solution of the radiative transfer equations with steep features (such as ionization fronts). An operator-split explicit-implicit scheme is described in which the advection term in the transfer equation is solved explicitly while the spatially stiff material-radiation terms are treated implicitly. Also an implicit method is presented using the accurate estimate of the time averaged fluxes. These methods are shown to provide a small enough numerical diffusion of steep features.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 85A25
zbMATH DE Number: 69671
zbMATH Keywords: finite difference schemes
zbMATH Keywords: radiative transfer equations
zbMATH Keywords: operator-split explicit-implicit scheme
reviewed by: Zakir F. Seidov
describes a project that uses: ZEUS
MaRDI profile type: Publication
cites work: Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
cites work: The piecewise parabolic method (PPM) for gas-dynamical simulations
cites work: On the solution of the time-dependent inertial-frame equation of radiative transfer in moving media to O(v/c)
cites work: Adaptive-grid methods with asymmetric time-filtering
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description: scientific article; zbMATH DE number 69671