BERTHON, Christophe; NKONGA, Boniface

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BERTHON, Christophe
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
Laboratoire de Mathématiques Appliquées de Bordeaux [MAB]

NKONGA, Boniface
Laboratoire de Mathématiques Appliquées de Bordeaux [MAB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]

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International Journal on Finite Volumes. 2005, vol. 2, p. 1-22

Institut de Mathématiques de Marseille, AMU

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In the present work, we consider the numerical approximations of multi-fluid compressible fluctuating flows. Assuming that the flow is composed by non mixing compressible fluids, we derived a modelization that can be view as an extension of the standard compressible (k, ǫ). This model is fundamentally in non conservation form (the coupling between fluids and turbulence involves non conservative products) and the usual finite volume methods fail. The nonlinear projection scheme is used to preserve, at the discrete level, the main properties of the model. The numerical computations are performed on the Richtmeyer-Meshkov instability to validate the approach and to measure the influence of fluctuations.< Leer menos

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compressible flows

velocity fluctuations

non-conservative equations

nonlinear projection methods

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Numerical model of a compressible multi-fluid fluctuating flow

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