A monotonicity preserving conservative sharp interface flow solver for high density ratio two-phase flows

Vincent Le Chenadec, Heinz Pitsch

Research output: Contribution to journalArticlepeer-review


This paper presents a novel approach for solving the conservative form of the incompressible two-phase Navier-Stokes equations. In order to overcome the numerical instability induced by the potentially large density ratio encountered across the interface, the proposed method includes a Volume-of-Fluid type integration of the convective momentum transport, a monotonicity preserving momentum rescaling, and a consistent and conservative Ghost Fluid projection that includes surface tension effects. The numerical dissipation inherent in the Volume-of-Fluid treatment of the convective transport is localized in the interface vicinity, enabling the use of a kinetic energy conserving discretization away from the singularity. Two- and three-dimensional tests are presented, and the solutions shown to remain accurate at arbitrary density ratios. The proposed method is then successfully used to perform the detailed simulation of a round water jet emerging in quiescent air, therefore suggesting the applicability of the proposed algorithm to the computation of realistic turbulent atomization.

Original languageEnglish (US)
Pages (from-to)185-203
Number of pages19
JournalJournal of Computational Physics
StatePublished - Sep 15 2013
Externally publishedYes


  • Conservation
  • Free surface flow
  • Interfacial flow
  • Momentum
  • Monotonicity preserving
  • Multiphase flow
  • Non-oscillatory
  • Two-phase flow
  • Volume-of-Fluid

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


Dive into the research topics of 'A monotonicity preserving conservative sharp interface flow solver for high density ratio two-phase flows'. Together they form a unique fingerprint.

Cite this