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Mathematical Models and Numerical Methods for Radiative Transfer
C. Berthon, Université de Nantes, France, C. Buet, CEA/DAM Ile de France, Bruyères-Le-Châtel, France, J.-F. Coulombel, CNRS, Villeneuve d'Ascq, France, B. Després, Université Paris VI, France, J. Dubois, CEA-CESTA, Le Barp, France, T. Goudon, INRIA Lille Nord Europe, Villeneuve d'Ascq, France, J. E. Morel, Texas A & M University, College Station, TX, and R. Turpault, Université de Nantes, France
A publication of the Société Mathématique de France.
cover
Panoramas et Synthèses
2009; 108 pp; softcover
Number: 28
ISBN-10: 2-85629-274-7
ISBN-13: 978-2-85629-274-7
List Price: US$42
Member Price: US$33.60
Order Code: PASY/28
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Radiative transfer phenomena arise in many applications ranging from astrophysics to photon beam radiotherapy. This volume describes some aspects of modern radiative transfer theory, dealing with models where the transport equation for the radiative energy is coupled to hydrodynamic systems. The discussion is specifically oriented to the design of dedicated efficient numerical methods. In particular, details are given on asymptotic regimes and asymptotic models that lead to diffusion approximations, intermediate models such as the M\(_1\) model based on an entropy minimization closure, and the analysis of shock profiles in radiative hydrodynamics.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in mathematical models and numerical methods for radiative transfer.

Table of Contents

  • B. Després and C. Buet -- Grey radiative hydrodynamics--Hierarchy of models and numerical approximation
  • J. E. Morel -- Discrete-ordinates transport methods for non-relativistic radiation-hydrodynamics
  • C. Berthon, J. Dubois, and R. Turpault -- Numerical approximation of the \(M_1\)-model
  • J.-F. Coulombel and T. Goudon -- Shock profiles in radiative hydrodynamics
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