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Stabilization schemes for solving viscoelastic free surface flows with surface tension effects

Grant number: 19/08742-2
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): July 01, 2019
Effective date (End): June 30, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:José Alberto Cuminato
Grantee:Débora de Oliveira Medeiros
Supervisor abroad: Hirofumi Notsu
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Local de pesquisa : Kanazawa University, Japan  
Associated to the scholarship:17/11428-2 - Numerical Methods for Non-Newtonian Free Surface Flows: effects of surface tension, BP.DR


In this project, we propose to investigate some recent methodologies to treat high elasticity fluid flows. In particular, we are interested dealing with viscoelastic free surface flows considering the effects of surface tension, as for example, the die-swell extrusion and injection moulding problems. The constitutive equations used to model the rheological behaviour of the fluids will be reformulated based on energy estimate analysis. Moreover, we suggest study and include a Lagrangian framework to solve the equations studying the characteristic in order to enhance the stability of the numerical schemes. Finally, these techniques will be extended for solving free surface problems using a finite difference discretization combined with MAC and front-tracking schemes.