Numerical methods for incompressible fluid flow and related problems

• Grant number: 11/09489-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: August 22, 2011
• End date: August 21, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Gustavo Carlos Buscaglia
• Grantee: Gustavo Carlos Buscaglia
• Visiting researcher: Vitoriano Ruas de Barros Santos
• Visiting researcher institution: Pontifícia Universidade Católica do Rio de Janeiro (PUC-RIO). Centro Técnico Científico (CTC) , Brazil
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• City of the host institution: São Carlos

Abstract

This visit aims at studying new finite element methods for incompressible flows of rheologically and/or geometrically complex fluids, such as viscoelastic fluids and microfluidic membranes. Studies will deal both with the implementation/testing of software and with the theoretical analysis of the proposed schemes. The challenge is, essentially, to extend and adapt existing methodologies to the viscoelastic behavior of either the bulk fluid or of the interface considered as a bidimensional fluid evolving on a curved, time-dependent interface. (AU)