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Etude numérique d'écoulements réactifs transsoniques

Abstract : The work presented in this thesis deals with numerical studies of transonic reactive flows. The mathematical modelling used to solve these flows is built on the multi-species Euler equations written for mixed perfect gases where terms modelling diffusion and combustion effects are taken into account. In order to numerically solve the system of equations, we use a mixed finite volume/finite element formulation based upon MUSCL methodology with upwind numerical fluxes. The boundary conditions are treated by means of fluxes, adapted to multi-species flows, and solving boundaries where the flow is either subsonic or supersonic. With the help of this scheme, several one-dimensional problems of stable and unstable detonation are studied, as well as two-dimensional problems of reactive interaction of jets and diffusion flames. The difficulty of the test cases, with pressure ratios sometimes larger than 30, proves the robustness of the method. Moreover, the use of a MUSCL method, associated with fine meshes obtained by either static or dynamic refinements, leads to precise numerical solutions with no oscillation. In order to get rid of the difficulties linked with the time scales disparities that appear in those flows, we propose various explicit and implicit schemes using operator decompositions which increases by a factor of 5 the efficiency (whilst keeping a good quality unsteady solution) in comparison with the explicit scheme.
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Submitted on : Monday, October 4, 2010 - 2:33:08 PM
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  • HAL Id : tel-00523155, version 1



Didier Chargy. Etude numérique d'écoulements réactifs transsoniques. Mécanique []. Ecole Nationale des Ponts et Chaussées, 1991. Français. ⟨tel-00523155⟩



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