In this project, we will study numerical strategies for dealing with complex topological changes in viscoelastic fluid flows. Based in a combination of the Marker-And-Cell method (MAC) with the front-tracking scheme, we will incorporate the constitutive equations, that describe the viscoelastic flow, into a finite difference in-house code. This code was recently developed for solving axisymmetric flows of incompressibleNewtonian fluids in the presence of free surfaces and topological changes. In order to investigate some peculiar behaviour of complex fluids, our goal is to extend it to viscoelastic flow problems. Simulations of the impacting drop on a liquid film and the break-up of filaments problems will be used to validate the numerical scheme.
News published in Agência FAPESP Newsletter about the scholarship: