Numerical solution of viscoelastic free surface problems with complex topological changes

• Grant number: 17/04471-9
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: June 01, 2017
• End date: November 29, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Cassio Machiaveli Oishi
• Grantee: Hugo Leonardo França
• Supervisor: Jonathan David Evans
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
• Institution abroad: University of Bath, England
• Associated to the scholarship: 16/00456-2 - A numerical method for the treatment of topological changes in viscoelastic free surface flows, BP.MS

Abstract

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.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

EVANS, JONATHAN D.; FRANCA, HUGO L.; OISHI, CASSIO M.. Application of the natural stress formulation for solving unsteady viscoelastic contraction flows. Journal of Computational Physics, v. 388, p. 462-489, JUL 1 2019. (15/50094-7, 13/07375-0, 16/00456-2, 17/04471-9)