We focus here on a three-phase flow model in order to represent complex flows involving liquid metal droplets, liquid water, and its vapour. The governing equations and its main properties are given, and focus is given on the pressure–velocity relaxation process on the one hand, and on the structure of solutions of the one-dimensional Riemann problem associated with pure convective effects. A fractional step method that computes successively the convective part and the relaxation effects is used to obtain approximate solutions on unstructured meshes. Details of algorithms are provided, and it is shown that the numerical method preserves positive values of statistical fractions and partial masses. Verification and validation test cases are presented, and some perspectives are eventually drawn.
Accepté le :
DOI : 10.1051/m2an/2019001
Mots-clés : Three-phase flow model, finite volumes, relaxation – shock tube
@article{M2AN_2019__53_3_1031_0,
author = {Boukili, Hamza and H\'erard, Jean-Marc},
title = {Relaxation and simulation of a barotropic three-phase flow model},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1031--1059},
publisher = {EDP-Sciences},
volume = {53},
number = {3},
year = {2019},
doi = {10.1051/m2an/2019001},
zbl = {1418.76032},
mrnumber = {3973921},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2019001/}
}
TY - JOUR AU - Boukili, Hamza AU - Hérard, Jean-Marc TI - Relaxation and simulation of a barotropic three-phase flow model JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2019 SP - 1031 EP - 1059 VL - 53 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2019001/ DO - 10.1051/m2an/2019001 LA - en ID - M2AN_2019__53_3_1031_0 ER -
%0 Journal Article %A Boukili, Hamza %A Hérard, Jean-Marc %T Relaxation and simulation of a barotropic three-phase flow model %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2019 %P 1031-1059 %V 53 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2019001/ %R 10.1051/m2an/2019001 %G en %F M2AN_2019__53_3_1031_0
Boukili, Hamza; Hérard, Jean-Marc. Relaxation and simulation of a barotropic three-phase flow model. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 53 (2019) no. 3, pp. 1031-1059. doi : 10.1051/m2an/2019001. http://www.numdam.org/articles/10.1051/m2an/2019001/
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