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Modelisation, approximation numerique et applications du transfert radiatif en desequilibre spectral couple avec l'hydrodynamique

Abstract : In some hypersonic regimes, the effects of radiative transfer can drastically modify the aerodynamics flow. For such applications, it is important to have a model that fully couples hydrodynamics and radiation in order to have a good behaviour of the solution. However, coupling with the full radiative transfer equation is usually very expensive hence it is not reasonable for multidimensionnal unsteady computations. Our choice is to use a moment model for the radiation part, which is way cheaper. This model uses an entropic closure a la Levermore that allows to be consitant with the fundamental physical properties such as energy conservation, entropy dissipation and flux-limitation. We also developped it to be multigroup in order to correctly predict the solution of strongly frequency-dependent problems. The resulting coupled system is hyperbolic and has several interesting properties that are discussed. This radiative model is then coupled to multispecies Navier-Stokes equations. Since in some of our applications radiation has a critical impact on the flow, we use a full-implicit fully coupled approach. Moreover, in order to save memory, we focus on a Jacobian Free algorithm. For these reasons, we choose to develop a preconditionned GMRes (Generalized Minimal Residual) which acts as a JFNK (Jacobian Free Newton Krylov) method. The result proves to be fast enough to perform realistic simulations at a reasonable computation time, which is very hard to get by coupling Navier-Stokes equations with the usual radiation models. Several applications are given to illustrate the good behaviour of the model either in simple academic configurations where comparisons can done or in realistic configurations such as flows around probes in atmospheric superorbital entry.
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https://tel.archives-ouvertes.fr/tel-00004620
Contributor : Rodolphe Turpault <>
Submitted on : Wednesday, February 11, 2004 - 9:46:44 AM
Last modification on : Monday, October 15, 2018 - 4:02:02 PM
Long-term archiving on: : Friday, April 2, 2010 - 7:16:59 PM

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Rodolphe Turpault. Modelisation, approximation numerique et applications du transfert radiatif en desequilibre spectral couple avec l'hydrodynamique. Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2003. Français. ⟨tel-00004620⟩

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