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A Hyperbolic Model of Nonequilibrium Phase Change at a Sharp Liquid–Vapor Interface

  • Matthieu AncellinEmail author
  • Laurent Brosset
  • Jean-Michel Ghidaglia
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 236)

Abstract

Our aim is to simulate numerically the impact of a breaking wave on a wall when phase change between liquid and gas happens (Ancellin et al. Proceedings of the 26th International Offshore and Polar Engineering Conference 886–893, 2016 [2]). We thus need to model two compressible phases separated by a sharp interface allowing mass exchange. It leads us to extend the Euler conservation equations to a hyperbolic system of balance laws including nonequilibrium phase change. For real fluids, when the value of the latent heat is high, there might be no solution to the Riemann problem. However we are able to discretize it in the finite volume framework using the Roe-type scheme of Ghidaglia et al. (Eur J Mech B/Fluids 20:841–867, 2001 [4]), the numerical diffusion playing the stabilizing role of the thermal diffusion.

Keywords

Two-phase flow Phase change Hyperbolic System of Conservation Laws Non conservative product Sloshing 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Matthieu Ancellin
    • 1
    • 2
    Email author
  • Laurent Brosset
    • 1
  • Jean-Michel Ghidaglia
    • 1
    • 2
  1. 1.GTT (Gaztransport & Technigaz)Saint-Rémy-lès-ChevreuseFrance
  2. 2.CMLA ENS Cachan CNRS Université Paris-SaclayCachanFrance

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