Computational microfluidics: an arbitrary lagrangian-eulerian approach

• Grant number: 11/00538-5
• Support Opportunities: Regular Research Grants
• Start date: April 01, 2011
• End date: March 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Fabrício Simeoni de Sousa
• Grantee: Fabrício Simeoni de Sousa
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated researchers: Gustavo Carlos Buscaglia

Abstract

This research proposal intends to develop mathematical and numerical models for fluid flow problems in microscale, incorporating surface phenomena, fluidic membranes and electromagnectic forces. This study is based on the mathematical models being deduced by the virtual power principle, which is adequate for a finite element discretization with moving meshes, in an arbitrary lagrangian-eulerian framework. (AU)

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)

SOUSA, FABRICIO S.; OISHI, CASSIO M.; BUSCAGLIA, GUSTAVO C.. Spurious transients of projection methods in microflow simulations. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 285, p. 659-693, MAR 1 2015. (11/00538-5, 12/14481-8, 09/15892-9)

MONTEFUSCOLO, FELIPE; SOUSA, FABRICIO S.; BUSCAGLIA, GUSTAVO C.. High-order ALE schemes for incompressible capillary flows. Journal of Computational Physics, v. 278, p. 133-147, DEC 1 2014. (11/00538-5, 12/04560-8, 12/14481-8)