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Comparaison de schémas numériques pour la simulation d'écoulements turbulents réactifs

Abstract : This work concerns the development and comparison of numerical tools for the simulation of turbulent reactive compressible flows. The objectives of this study are mainly to test the approach of Monotonically Integrated Large Eddy Simulation (MILES) and to equip the laboratory with an effective, scalable, robust, and accurate numerical simulation platform. For that, two computational codes of different approaches and ranges have been created.
The first code, based on 6th order compact centered finite difference schemes, very accurate and non-dissipative, allows the direct numerical simulation (DNS) of 3D turbulent smooth flows (without shocks) in cartesian geometry. This code has no built-in numerical dissipation and is used as a reference to test the MILES approach.
The second code is based on the use of recent shock capturing methods: the WENO schemes. The finite difference formulation of WENO schemes of order 3 to 11 is implemented in a two-dimensional code. The resolving efficiency of WENO schemes of various orders is evaluated by the modified wave number linear analysis. Some specific problems associated to multi-species flows are highlighted: the mass fraction positivity is preserved thanks to Larrouturou's method. Various reconstructions are evaluated on a series of test cases for the different orders of the scheme.
Both codes are first compared for the simulation of a 1D laminar premixed flame, and then for the case of a 2D turbulent reactive H2/air jet. Finally, the performance of WENO schemes is illustrated for two difficult cases: the detonation cells and the shock wave/hydrogen bubble reactive interaction.
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Contributor : Ludivine Gougeon <>
Submitted on : Monday, May 26, 2008 - 10:58:03 PM
Last modification on : Thursday, March 5, 2020 - 6:48:53 PM
Long-term archiving on: : Friday, May 28, 2010 - 6:24:41 PM


  • HAL Id : tel-00282242, version 1


Ludivine Gougeon. Comparaison de schémas numériques pour la simulation d'écoulements turbulents réactifs. Modélisation et simulation. Université d'Orléans, 2007. Français. ⟨tel-00282242⟩



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