Commun. Comput. Phys., 6 (2009), pp. 1118-1136.


Computation of Shock Profiles in Radiative Hydrodynamics

Jean-Francois Coulombel 1, Pauline Lafitte 2*

1 CNRS, Laboratoire Paul Painleve and Project Team SIMPAF INRIA Futurs, Universite Lille 1, Cite Scientifique, 59655 VILLENEUVE D'ASCQ Cedex, France.
2 Laboratoire Paul Painleve and Project Team SIMPAF INRIA Futurs, Universite Lille 1, Cite Scientifique, 59655 VILLENEUVE D'ASCQ Cedex, France.

Received 9 October 2008; Accepted (in revised version) 30 March 2009
Available online 14 May 2009

Abstract

This article is devoted to the construction of a numerical scheme to solve the equations of radiative hydrodynamics. We use this numerical procedure to compute shock profiles and illustrate some earlier theoretical results about their smoothness and monotonicity properties. We first consider a scalar toy model, then we extend our analysis to a more realistic system for the radiative hydrodynamics that couples the Euler equations and an elliptic equation.

AMS subject classifications: 35L67, 76L05, 65M99

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Key words: Radiative transfer, shock profiles, Euler equations, numerical profiles.

*Corresponding author.
Email: jfcoulom@math.univ-lille1.fr (J.-F. Coulombel), lafitte@math.univ-lille1.fr (P. Lafitte)
 

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