Abstract
In this talk we will discuss some recent numerical results for solving the impact of non-Newtonian liquid drops on a solid surface. In particular, the effects of the material properties (e.g. elasticity, plasticity, thixotropy) combined with the surface tension will be investigated for a range of the corresponding dimensionless numbers associated to each phenomenon. In order to describe an overview of the computational code, we will present the mathematical model, the numerical scheme for treating the governing equations, and the methodology to handle moving interface problems. The main computational challenges, as for example, the solution of the thixotropy modelling and the accurate computation of the drop curvature, will also be discussed. In the context of the main results, the interface dynamics will be presented for some selected cases showing a rich diversity of responses, as for example the spreading and bouncing effects, depending on the set of dimensionless parameters.
In the final part of this talk, we will explore some preliminary ideas for including machine learning techniques in the computation of the drop curvature and for solving Partial Differential Equations.
Bio
Cassio M. Oishi is an associate professor in the São Paulo State University (UNESP) at Presidente Prudente, Brazil. Prof. Cassio is a principal investigator of the Center for Research in Mathematical Sciences Applied to Industry (CeMEAI), a council formed by the main universities of São Paulo state which is funded by the FAPESP (São Paulo Research Fundation). Prof. Cassio is also a research fellow of Brazilian National Research Council (CNPq). His PhD thesis on Computational Mathematics was concluded on August, 2008 at University of São Paulo (USP), São Carlos campus. His research interests concern numerical solution of partial differential equations, the computational methodologies for treating moving interface problems and the development of codes for computational fluid dynamics.
Host: Professor Randy Ewoldt
