In this project, we will investigate a new formulation for solving viscoelastic free surface flows. This methodology is mathematically rooted in a dyadic decomposition of the conformation tensor which results in an efficient method for dealing with stress singularities. The research is focused on benchmark flows in the presence of free surface boundary conditions, e.g. stick-slip and die-swell problems. In the context of a finite difference MAC scheme, it is proposed a study of numerical and asymptotic techniques to deal with the singular points and thus simulate these flows accurately.
News published in Agência FAPESP Newsletter about the scholarship: