Upwind monotonic interpolation methods for the solution of the time dependent radiative transfer equation

DOI10.1016/0021-9991(92)90246-UzbMath0762.65084MaRDI QIDQ1195447

Dimitri Mihalas, James M. Stone

Publication date: 23 November 1992

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

zbMATH Keywords

finite difference schemesradiative transfer equationsoperator-split explicit-implicit scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Applications to the sciences (65Z05) Radiative transfer in astronomy and astrophysics (85A25)

Related Items

Semi-implicit donor cell differencing and the hyperbolic conservation laws having source terms ⋮ Second-order discretization in space and time for radiation-hydrodynamics ⋮ Multiscale simulation for the system of radiation hydrodynamics ⋮ Numerical predictions of short-pulsed laser transport in absorbing and scattering media. I—A time-based approach with flux limiters ⋮ Transient radiative transfer in a scattering slab with variable refractive index and diffuse substrate

Uses Software

• ZEUS

Cites Work

• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Adaptive-grid methods with asymmetric time-filtering
• On the solution of the time-dependent inertial-frame equation of radiative transfer in moving media to O(v/c)
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection