A second-order multi-fluid model for evaporating sprays
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 39 (2005) no. 5, pp. 931-963.

Voir la notice de l'article dans Numdam

The aim of this paper is to present a method using both the ideas of sectional approach and moment methods in order to accurately simulate evaporation phenomena in gas-droplets flows. Using the underlying kinetic interpretation of the sectional method [Y. Tambour, Combust. Flame 60 (1985) 15-28] exposed in [F. Laurent and M. Massot, Combust. Theory Model. 5 (2001) 537-572], we propose an extension of this approach based on a more accurate representation of the droplet size number density in each section ensuring the exact conservation of two moments (as opposed to only one moment used in the classical approach). A corresponding second-order numerical scheme, with respect to space and droplet size variables, is also introduced and can be proved to be positive and to satisfy a maximum principle on the velocity and the mean droplet mass under a suitable CFL-like condition. Numerical simulations have been performed and the results confirm the accuracy of this new method even when a very coarse mesh for the droplet size variable (i.e.: a low number of sections) is used.

DOI : 10.1051/m2an:2005041
Classification : 35Q35, 65Z05, 76T10
Mots-clés : moment method, sectional method, sprays, evaporation, multi-fluid 
@article{M2AN_2005__39_5_931_0,
     author = {Dufour, Guillaume and Villedieu, Philippe},
     title = {A second-order multi-fluid model for evaporating sprays},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {931--963},
     publisher = {EDP-Sciences},
     volume = {39},
     number = {5},
     year = {2005},
     doi = {10.1051/m2an:2005041},
     zbl = {1075.35048},
     mrnumber = {2178568},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2005041/}
}
TY  - JOUR
AU  - Dufour, Guillaume
AU  - Villedieu, Philippe
TI  - A second-order multi-fluid model for evaporating sprays
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2005
SP  - 931
EP  - 963
VL  - 39
IS  - 5
PB  - EDP-Sciences
UR  - https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2005041/
DO  - 10.1051/m2an:2005041
LA  - en
ID  - M2AN_2005__39_5_931_0
ER  - 
%0 Journal Article
%A Dufour, Guillaume
%A Villedieu, Philippe
%T A second-order multi-fluid model for evaporating sprays
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2005
%P 931-963
%V 39
%N 5
%I EDP-Sciences
%U https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2005041/
%R 10.1051/m2an:2005041
%G en
%F M2AN_2005__39_5_931_0
Dufour, Guillaume; Villedieu, Philippe. A second-order multi-fluid model for evaporating sprays. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 39 (2005) no. 5, pp. 931-963. doi : 10.1051/m2an:2005041. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2005041/

Cité par Sources :