A Higher Order Godunov Method for Radiation Hydrodynamics: Radiation Subsystem

Details A Higher Order Godunov Method for Radiation Hydrodynamics: Radiation Subsystem A Higher Order Godunov Method for Radiation Hydrodynamics: Radiation Subsystem

2009-10-07

arxiv.org/abs/0910.1372v1

Communications in Applied and Computational Mathematics, Volume 4 (2009), Number 1, 135-152

Mathematics

Numerical Analysis

19 pages, 5 figures, 6 tables

Scientific paper

A higher order Godunov method for the radiation subsystem of radiation hydrodynamics is presented. A key ingredient of the method is the direct coupling of stiff source term effects to the hyperbolic structure of the system of conservation laws; it is composed of a predictor step that is based on Duhamel's principle and a corrector step that is based on Picard iteration. The method is second order accurate in both time and space, unsplit, asymptotically preserving, and uniformly well behaved from the photon free streaming (hyperbolic) limit through the weak equilibrium diffusion (parabolic) limit and to the strong equilibrium diffusion (hyperbolic) limit. Numerical tests demonstrate second order convergence across various parameter regimes.

Affiliated with

Also associated with

No associations

Rating

A Higher Order Godunov Method for Radiation Hydrodynamics: Radiation Subsystem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Higher Order Godunov Method for Radiation Hydrodynamics: Radiation Subsystem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Higher Order Godunov Method for Radiation Hydrodynamics: Radiation Subsystem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-351823