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Volume 6, Issue 5
Computation of Shock Profiles in Radiative Hydrodynamics

Jean-François Coulombel & Pauline Lafitte

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

Published online: 2009-06

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  • 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.

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@Article{CiCP-6-1118, author = {Jean-François Coulombel and Pauline Lafitte}, title = {Computation of Shock Profiles in Radiative Hydrodynamics}, journal = {Communications in Computational Physics}, year = {2009}, volume = {6}, number = {5}, pages = {1118--1136}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7719.html} }
TY - JOUR T1 - Computation of Shock Profiles in Radiative Hydrodynamics AU - Jean-François Coulombel & Pauline Lafitte JO - Communications in Computational Physics VL - 5 SP - 1118 EP - 1136 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7719.html KW - AB -

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.

Jean-François Coulombel and Pauline Lafitte. (2009). Computation of Shock Profiles in Radiative Hydrodynamics. Communications in Computational Physics. 6 (5). 1118-1136. doi:
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