Simulation of axisymmetric jets with a finite element Navier-Stokes solver and a multilevel VOF approach

  • Authors:

  • A. Cervone;S. Manservisi;R. Scardovelli

  • Affiliations:

  • DIENCA, Montecuccolino Laboratory, University of Bologna, Via dei Colli 16, 40136 Bologna, Italy;DIENCA, Montecuccolino Laboratory, University of Bologna, Via dei Colli 16, 40136 Bologna, Italy;DIENCA, Montecuccolino Laboratory, University of Bologna, Via dei Colli 16, 40136 Bologna, Italy

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2010

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Abstract

A multilevel VOF approach has been coupled to an accurate finite element Navier-Stokes solver in axisymmetric geometry for the simulation of incompressible liquid jets with high density ratios. The representation of the color function over a fine grid has been introduced to reduce the discontinuity of the interface at the cell boundary. In the refined grid the automatic breakup and coalescence occur at a spatial scale much smaller than the coarse grid spacing. To reduce memory requirements, we have implemented on the fine grid a compact storage scheme which memorizes the color function data only in the mixed cells. The capillary force is computed by using the Laplace-Beltrami operator and a volumetric approach for the two principal curvatures. Several simulations of axisymmetric jets have been performed to show the accuracy and robustness of the proposed scheme.