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Accurate steam-water equation of state for two-phase flow LMNC model with phase transition

Abstract : This paper is dedicated to the design of incomplete equations of state for a two-phase flow with phase transition that are specific to the low Mach number regime. It makes use of the fact that the thermodynamic pressure has small variations in this regime. These equations of state supplement the 2D LMNC model introduced in previous works. Our innovative strategy relies on tabulated values and is proven to satisfy crucial thermodynamic requirements such as positivity, monotonicity, continuity. In particular, saturation values are exact. This procedure is assessed by means of analytical steady solutions and comparisons with standard analytical equations of state, and shows a great improvement in accuracy.
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https://hal.archives-ouvertes.fr/hal-01111730
Contributor : Bérénice Grec <>
Submitted on : Wednesday, June 13, 2018 - 2:56:59 PM
Last modification on : Tuesday, May 26, 2020 - 3:40:55 AM
Document(s) archivé(s) le : Friday, September 14, 2018 - 2:43:33 PM

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Stéphane Dellacherie, Gloria Faccanoni, Bérénice Grec, Yohan Penel. Accurate steam-water equation of state for two-phase flow LMNC model with phase transition. Applied Mathematical Modelling, Elsevier, 2019, 65, pp.207-233. ⟨10.1016/j.apm.2018.07.028⟩. ⟨hal-01111730v4⟩

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