A Level Set Method for vaporizing two-phase flows

  • Authors:

  • Sébastien Tanguy;Thibaut Ménard;Alain Berlemont

  • Affiliations:

  • LEMTA CNRS UMR - 7563, 2, avenue de la forêt de Haye, BP 160, 54504 Vandoeuvre lès Nancy, France;UMR6614-CORIA, Technopôle du Madrillet, BP 12, Avenue de l'Université, 76801 Saint-Etienne-du-Rouvray Cedex, France;UMR6614-CORIA, Technopôle du Madrillet, BP 12, Avenue de l'Université, 76801 Saint-Etienne-du-Rouvray Cedex, France

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2007

Quantified Score

Hi-index 31.49

Visualization

Abstract

Development and applications of numerical methods devoted to reactive interface simulations are presented. Emphasis is put on vaporization, where numerical difficulties arise in imposing accurate jump conditions for heat and mass transfers. We use both the Level Set Method and the Ghost Fluid Method to capture the interface motion accurately and to handle suitable jump conditions. A local vaporization mass flow rate per unit of surface area is defined and Stefan flow is involved in the process. Specific care has been devoted to the extension of discontinuous variables across the interface to populate ghost cells, in order to avoid parasitic currents and numerical diffusion across the interface. A projection method is set up to impose both the velocity field continuity and a divergence-free condition for the extended velocity field across the interface. The d^2 law is verified in the numerical simulations of the vaporization of an isolated static drop. Results are then presented for a water droplet moving in air. Vapor mass fraction and temperature fields inside and outside the droplet are presented.