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Numerical analysis and computational implementations of non-Newtonian flow constitutive equations

Grant number: 21/05727-2
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): July 01, 2021
Effective date (End): June 30, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:Antonio Castelo Filho
Grantee:Fabiano Ruano Neto
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID
Associated scholarship(s):23/06133-4 - Numerical studies on elastic instabilities, BE.EP.DR

Abstract

In this project it is proposed the study of improved numerical methods to simulate non-Newtonian flows. Despite recent advances in the computational rheology community, several numerical methods still deal with instability issues such as accuracy on solving constitutiveequations in complex geometries. The proposed project aims new hybrid approaches that combine asymptotic analysis, Lagrangean formulations, stabilization methods and interpolation that are disconnected from Eulerian grid nodes. Additionally, it is also proposed a study concerningnew constitutive equations to model non-Newtonian materials which nature is elastic, plastic and viscous. (AU)

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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, J. D.; PALHARES JUNIOR, I. L.; OISHI, C. M.; RUANO NETO, F.. Numerical verification of sharp corner behavior for Giesekus and Phan-Thien-Tanner fluids. Physics of Fluids, v. 34, n. 11, p. 28-pg., . (18/22242-0, 21/13833-7, 21/05727-2, 13/07375-0)

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