Numerical analysis of flows with complex surface phenomena

• Grant number: 12/04560-8
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: July 01, 2012
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Fabrício Simeoni de Sousa
• Grantee: Felipe Montefuscolo
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 14/08136-1 - Universal meshes method applied to multiphase flows, BE.EP.DR

Abstract

We propose a mathematical and numerical modeling of fluid flows with complex surface phenomena, with applications in microscale flows. We intend to correct model fluidic membranes, dynamic contact lines, surface tension and Marangoni effects, viscoelastic surfaces and the influence of electromagnetic forces. The project is based on the conservation equations written in the variational form using the virtual work principle, which is suitable for the finite element discretization in an arbitrary Lagrangian-Eulerian framework. The candidate will build a finite element code, both accurate and robust, in order to simulate 2D and 3D flows, as well as to serve as a base for further improvements.

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)

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)