Accurate steam-water equation of state for two-phase flow LMNC model with phase transition |
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| Institution: | 1. Hydro-Québec, TransÉnergie, 75 boulevard René-Lévesque Ouest, Montréal, QC H2Z 1A4, Canada;2. Université de Toulon – IMATH, EA 2134, avenue de l’Université, La Garde 83957, France;3. MAP5 UMR CNRS 8145 - Université Paris Descartes - Sorbonne Paris Cité, 45 rue des Saints Pères, Paris Cedex 6 75270, France;4. CEREMA–Inria (team ANGE) and Sorbonne Universités, UPMC Univ. Paris 06, LJLL UMR CNRS 7598, Paris 75005, France |
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| Abstract: | This paper is concerned with 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 and 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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