| Issue |
ESAIM: M2AN
Volume 57, Number 6, November-December 2023
|
|
|---|---|---|
| Page(s) | 3537 - 3583 | |
| DOI | https://doi.org/10.1051/m2an/2023090 | |
| Published online | 20 December 2023 | |
Two approaches to compute unsteady compressible two-phase flow models with stiff relaxation terms
1
EDF Lab Chatou, 6 quai Watier, 78400 Chatou, France
2
Institut de Mathématiques de Marseille, Technopôle Château-Gombert 39, rue Frédéric Joliot-Curie, 13453 Marseille Cedex 13, France
* Corresponding author: herard.aubry@wanadoo.fr
Received:
14
September
2022
Accepted:
6
November
2023
The paper deals with the numerical modeling of two-phase flows while using Baer–Nunziato type models. Focus is given here on the numerical treatment of source terms that involve three (or four) relaxation time scales. A new coupled approach relying on the continuous analysis of the system of ODEs is compared with a more widely used strategy grounded on the fractional step approach. Properties of schemes are given in both cases. Several numerical applications show that the coupled approach should be preferred for both stability and accuracy reasons.
Mathematics Subject Classification: 76T10 / 35Q35 / 35L60
Key words: Two-phase flows / entropy / finite volumes / relaxation process / jump conditions
© The authors. Published by EDP Sciences, SMAI 2023
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