Development and Implementation Numerical Methods Applied to Microfluidics

• Grant number: 15/21999-1
• Support Opportunities: Scholarships abroad - Research
• Start date: February 01, 2016
• End date: January 31, 2017
• Field of knowledge: Engineering - Mechanical Engineering - Transport Phenomena
• Principal Investigator: Antonio Castelo Filho
• Grantee: Antonio Castelo Filho
• Host Investigator: Fernando Manuel Coutinho Tavares de Pinho
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Universidade do Porto (UP), Portugal
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

In the simulation of fluidic problems, there are two fundamental aspects: representation of the domain geometry and the construction of an approximation of governing equations to respect the boundary conditions at the boundary. Themost direct technique of geometry representation consists in generating a mesh that respects the contours, which implies a high complexity. If the mesh does not fit the geometry method is called immersed boundary and has the advantage of allowing the use of Cartesian loops easy construction. Methods of immersed boundary is gaining more acceptance on current problems of fluid mechanics, such asmicrofluidics, biofluidics and the interaction of the fluid with flexible structures anddeformable, all of them involving flows with complex geometries.In this context, this paper aims to contribute to the development and implementation techniques and numerical methods for simulating flows multiphase in a flexflow-Solver software development in the project research entitled "Mathematical and Numerical Developments in Biphasic Flow Applied to Refining Processes".This project aims to develop methods and techniques for application in Microfluidics where the surface and interfacial forces become very important, and that much the fluid is viscoelastic.