| Issue |
ESAIM: M2AN
Volume 53, Number 3, May-June 2019
|
|
|---|---|---|
| Page(s) | 1031 - 1059 | |
| DOI | https://doi.org/10.1051/m2an/2019001 | |
| Published online | 25 June 2019 | |
Relaxation and simulation of a barotropic three-phase flow model
1
EDF Lab Chatou 6, quai Watier 78400 Chatou France
2
I2M, Aix Marseille Université 39 rue Joliot Curie 13453 Marseille France
* Corresponding author: jean-marc.herard@edf.fr
Received:
20
March
2018
Accepted:
28
December
2018
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.
Mathematics Subject Classification: 76M12 / 76T30 / 35L60 / 35Q35 / 35L67
Key words: Three-phase flow model / finite volumes / relaxation – shock tube
© EDP Sciences, SMAI 2019
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