Numerical simulation of viscoelastic fluid flows with free surfaces

Resumo

In this work we will present a numerical study of viscoelastic fluid flows under surface tension effects.
The mathematical model adopted involves the governing equations for incompressible fluids with free surface,
along with the constitutive equations that describe a viscoelastic material. From a computational point of view,

the free surface dynamics will be handled using the Front-Tracking representation with marker particles, com-
bined with the Marker-And-Cell (MAC) method to discretize the equations using a finite differences scheme. Our

current interest is the study of small-scale flows with droplet impact, such as the collision between two droplets.
Viscoelastic models will be adopted in order to represent the non-Newtonian contributions on different post-impact
outcomes, e.g., coalescence, separation and bouncing between droplets. Considering the classical dimensionless
numbers on viscoelastic free surface flows (Reynolds, Weber and Weissenberg), we will present parametric studies
on the simulation of droplet collisions to investigate how these parameters affect the final outcome.