Two-size moment Eulerian multi-fluid method describing the statistical trajectory crossing: modeling and numerical schemeReportar como inadecuado




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1 TONUS - TOkamaks and NUmerical Simulations IRMA - Institut de Recherche Mathématique Avancée, Inria Nancy - Grand Est 2 IRMA - Institut de Recherche Mathématique Avancée 3 EM2C - Laboratoire d-Énergétique Moléculaire et Macroscopique, Combustion 4 FR3487 - Fédération de Mathématiques de l-Ecole Centrale Paris 5 Palaiseau - ONERA - The French Aerospace Lab

Abstract : High fidelity modeling and simulation of turbulent dispersed two-phase flows is still a major challenge for many applications. Eulerian approaches are well suited for high performance computations of such flows. Recently, hybrid Eulerian methods that combine the multi-fluid approach-where the size is discretized-and the moment method were developed. On the one hand, in order to capture efficiently the size-polydispersion, two size moments were used on each interval of the size discretization Two Size Moment method. On the other hand, the Anisotropic Gaussian AG velocity closure has been introduced as a relevant model to describe velocity dispersion occurring when the particles from the disperse phase have a significant inertia compared to the time scales of the flow, leading to particle trajectory crossings. The purpose of this contribution is to develop a model able to describe size and velocity dispersion, coupling the two-size moment Eulerian multi-fluid method and the anisotropic velocity closure. Adapted numerical schemes based on a relaxation method are provided. This new model AG-TSM is then evaluated on various test cases relevant to rocket propulsion and two-phase combustion.

Keywords : polydisperse spray two-size moment Multi-Fluid model moment method particle trajectory crossing relaxation scheme





Autor: Matthieu Boileau - Julien Lagarde - Valentin Dupif - Frédérique Laurent - Marc Massot -

Fuente: https://hal.archives-ouvertes.fr/



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