On the Anisotropic Gaussian velocity closure for inertial-particle laden flows
| Autor: | Aymeric Vié, Marc Massot, François Doisneau |
|---|---|
| Přispěvatelé: | Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion (EM2C), Université Paris Saclay (COmUE)-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec, Center for Turbulence Research [Stanford] (CTR), Stanford University, Ecole Centrale Paris, ONERA - The French Aerospace Lab [Palaiseau], ONERA-Université Paris Saclay (COmUE), Fédération de Mathématiques de l'Ecole Centrale Paris (FR3487), Ecole Centrale Paris-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), The authors would like to thank the SAFRAN group, which sponsored the stay of Aymeric Vié during the Summer Program 2012 at the Center for Turbulence Research (CTR), Stanford University, as well as the CTR for the technical support. The support of the France-Stanford Center for Interdisciplinary Studies through a collaborative project grant (PIs: P. Moin and M. Massot) is also gratefully acknowledged. The authors also thank ONERA and DGA, Ministry of Defence (M. S. Amiet, Technical Monitor) for François Doisneau's PhD Grant. The post-doctoral stay of A.Vi'e has also been supported by the ANR Sechelles (PIs S. Descombes and M. Massot) and DIGITEO Project (PI M. Massot). |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Physics and Astronomy (miscellaneous)
media_common.quotation_subject entropy maximization Context (language use) Inertia 01 natural sciences 010305 fluids & plasmas [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] symbols.namesake Realizability 0103 physical sciences numerical methods [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] 0101 mathematics media_common Mathematics Conservation law Turbulence [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment Eulerian path Mechanics particle trajectory crossing 010101 applied mathematics Moment (mathematics) Classical mechanics Flow (mathematics) symbols disperse phase flows [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | Communications in Computational Physics Communications in Computational Physics, Global Science Press, 2015, 17 (1), pp.1-46. ⟨10.4208/cicp.021213.140514a⟩ |
| ISSN: | 1815-2406 |
| DOI: | 10.4208/cicp.021213.140514a⟩ |
| Popis: | We thank Frédérique Laurent-Nègre for her comments and revisions, Joel Dupays for useful discussions and O. Simonin for fruitful discussions which have motivated the writing of Section 2.2.; International audience; The accurate simulation of disperse two-phase flows, where a discrete partic- ulate condensed phase is transported by a carrier gas, is crucial for many applications; Eulerian approaches are well suited for high performance computations of such flows. However when the particles from the disperse phase have a significant inertia compared to the time scales of the flow, particle trajectory crossing (PTC) occurs i.e. the particle ve- locity distribution at a given location can become multi-valued. To properly account for such a phenomenon many Eulerian moment methods have been recently proposed in the literature. The resulting models hardly comply with a full set of desired criteria involving: 1- ability to reproduce the physics of PTC, at least for a given range of particle inertia, 2- well-posedness of the resulting set of PDEs on the chosen moments as well as guaran- teed realizability, 3- capability of the model to be associated with a high order realizable numerical scheme for the accurate resolution of particle segregation in turbulent flows. The purpose of the present contribution is to introduce a multi-variate Anisotropic Gaus- sian closure for such particulate flows, in the spirit of the closure that has been suggested for out-of-equilibrium gas dynamics and which satisfies the three criteria. The novelty of the contribution is three-fold. First we derive the related moment systems of conservation laws with source terms, and justify the use of such a model in the context of high Knudsen numbers, where collision operators play no role. We exhibit the main features and advan- tages in terms of mathematical structure and realizability. Then a second order accurate and realizable MUSCL/HLL scheme is proposed and validated. Finally the behavior of the method for the description of PTC is thoroughly investigated and its ability to account accurately for inertial particulate flow dynamics in typical configurations is assessed. |
| Databáze: | OpenAIRE |
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