Based on the control volume technique, mixed with the finite element method, an enhanced numerical approach for tracking flow fronts is presented. The classical governing equations for non-Newtonian fluids are solved by using classical 2D mixed elements and 3D element  for CPU time considerations. The mixed formulation is used to satisfy the continuity equation. To track the flow front, we present a modified VOF technique labeled “VOF-G/FEV” (FEV: Finite Element and Volume). This method is based on the pseudo-concentration method associated with a control volume technique constructed on the finite element mesh. Numerical examples related to the filling of 2D and 3D geometry cavities are presented. They show good performance of the present tracking approach that can be used successfully for estimating the evolution of polymer fronts in a mould cavity.
The VOF-G/FEV Model For Tracking a Polymer-Air Interface in the Injection Moulding Process
Contributed by the Design Automation Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received Oct. 2000. Associate Editor: J. M. Vance.
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Ayad, R., and Rigolot, A. (November 26, 2002). "The VOF-G/FEV Model For Tracking a Polymer-Air Interface in the Injection Moulding Process ." ASME. J. Mech. Des. December 2002; 124(4): 813–821. https://doi.org/10.1115/1.1515323
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