# Numerical analysis of Eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays

ESAIM: Mathematical Modelling and Numerical Analysis (2006)

- Volume: 40, Issue: 3, page 431-468
- ISSN: 0764-583X

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topLaurent, Frédérique. "Numerical analysis of Eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays." ESAIM: Mathematical Modelling and Numerical Analysis 40.3 (2006): 431-468. <http://eudml.org/doc/249729>.

@article{Laurent2006,

abstract = {
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.
},

author = {Laurent, Frédérique},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Spray; evaporation; multi-fluid method; kinetic schemes.; spray; kinetic schemes},

language = {eng},

month = {7},

number = {3},

pages = {431-468},

publisher = {EDP Sciences},

title = {Numerical analysis of Eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays},

url = {http://eudml.org/doc/249729},

volume = {40},

year = {2006},

}

TY - JOUR

AU - Laurent, Frédérique

TI - Numerical analysis of Eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2006/7//

PB - EDP Sciences

VL - 40

IS - 3

SP - 431

EP - 468

AB -
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.

LA - eng

KW - Spray; evaporation; multi-fluid method; kinetic schemes.; spray; kinetic schemes

UR - http://eudml.org/doc/249729

ER -

## References

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