Numerical investigation of three dimensional viscoelastic free surface flows: Impacting drop problem
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This work presents a numerical investigation of three dimensional viscoelastic free surface flows. In particular, using two different numerical methodologies, we have simulated a typical free-surface benchmark flow problem: the impact of a viscoelastic fluid droplet with a rigid boundary. The numerical method was recently proposed by Figueiredo et al.  and has been implemented in a in-house viscoelastic flow solver. In this methodology, a finite difference scheme is adopted combining the Marker-And-Cell (MAC) method with a Front-Tracking strategy. In order to preserve mass conservation properties for transient viscoelastic fluid flows, we have modified the methodology in  to include an improvement on the MAC discretization of the velocity boundary conditions at free-surfaces. The code is verified by solving the drop impact problem for a Newtonian fluid. After this verification, we employ the Oldroyd-B model to assess the differences between the methodologies, and compare our results with the ones in the literature. Finally, a detailed study of the influence of the relevant rheological parameters of the non-linear viscoelastic models (Giesekus and XPP) is reported, regarding the deformation and spreading of the viscoelastic fluid drop after impacting on a rigid surface.