Numerical analysis of eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays
| Autor: | Frédérique Laurent |
|---|---|
| Přispěvatelé: | Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion (EM2C), Université Paris Saclay (COmUE)-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec |
| Jazyk: | angličtina |
| Rok vydání: | 2006 |
| Předmět: |
Numerical Analysis
Discretization Applied Mathematics Courant–Friedrichs–Lewy condition Numerical analysis Eulerian path Context (language use) multi-fluid method Euler equations evaporation Physics::Fluid Dynamics Computational Mathematics symbols.namesake Monotone polygon Classical mechanics Flow (mathematics) spray Modeling and Simulation symbols Applied mathematics kinetic schemes Analysis [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] Mathematics |
| Zdroj: | ESAIM: Mathematical Modelling and Numerical Analysis ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2006, 40, pp.431-468. ⟨10.1051/m2an:2006023⟩ |
| ISSN: | 0764-583X 1290-3841 |
| DOI: | 10.1051/m2an:2006023⟩ |
| Popis: | The purpose of this article is the analysis and the development of Eulerian multi-fluid models to describe the evolution of the mass density of evaporating liquid sprays. First, the classical multi-fluid model developed in [Laurent and Massot, Combust. Theor. Model. 5 (2001) 537-572] is analyzed in the framework of an unsteady configuration without dynamical nor heating effects, where the evaporation process is isolated, since it is a key issue. The classical multi-fluid method consists then in a discretization of the droplet size variable into cells called sections. This analysis provides a justification of the "right" choice for this discretization to obtain a first order accurate and monotone scheme, with no restrictive CFL condition. This result leads to the development of a class of methods of arbitrary high order accuracy through the use of moments on the droplet surface in each section and a Godunov type method. Moreover, an extension of the two moments method is proposed which preserves the positivity and limits the total variation. Numerical results of the multi-fluid methods are compared to examine their capability to accurately describe the mass density in the spray with a small number of variables. This is shown to be a key point for the use of such methods in realistic flow configurations. |
| Databáze: | OpenAIRE |
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