Universal meshes method applied to multiphase flows

• Grant number: 14/08136-1
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 01, 2014
• End date: August 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Fabrício Simeoni de Sousa
• Grantee: Felipe Montefuscolo
• Supervisor: Adrián José Lew
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Stanford University, United States
• Associated to the scholarship: 12/04560-8 - Numerical analysis of flows with complex surface phenomena, BP.DR

Abstract

The candidate's PhD project proposes the numerical and mathematical modeling of flows with complex surface phenomena with applications in microscale flows. In this internship project we propose to study the capillary phenomena by an ALE (arbitrary Lagrangian-Eulerian) algorithm where the geometry is treated by the "universal meshes" method, a novel method for handling interfaces proposed by prof. Adrian Lew. In addition to implementation and tests of specific cases, the temporal convergence of the method will be addressed using different temporal integrators, with emphasis on the role of the trace of the discrete velocity on the convergence. (AU)