Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

A FEM Navier-Stokes solver coupled to a front-tracking algorithm for two-phase flows

S. Manservisia,*, E. Aulisab, V. Marrac, R. Scardovellib
aDepartment of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, USA bUniversity of Bologna, DIENCA, Laboratory of Montecuccolino, Via dei Colli 16, 40136, Bologna, Italy cUniversity of Bologna, DIEM, viale Risorgimento 2, 40136, Bologna, Italy

  Full Text
A front-tracking algorithm for interfacial flows is reviewed. The interface is described by a set of closed lines. Fixed markers are set at the crossing points of these lines, while auxiliary markers are defined at the intersection points with the grid cell faces and inside each computational cell. These auxiliary markers are added and removed dynamically by a local area conservation algorithm. A Navier-Stokes solver that includes this front-tracking algorithm has been developed for 2D incompressible two-phase flows based on the finite element method. A variational formulation of the surface tension term, which removes the singularity of the capillary force, is proposed. Spurious currents are greatly reduced and oscillating drop dynamics is accurately reproduced.

Keywords:  Interface tracking; Two-phase flow; Finite element Navier-Stokes solver, Surface tension; Parasitic currents

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