Reduced model for a two-dimensional flow around a cylinder

• Grant number: 14/06847-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2014
• End date: July 31, 2015
• Field of knowledge: Engineering - Mechanical Engineering - Transport Phenomena
• Principal Investigator: Rafael dos Santos Gioria
• Grantee: Giuliano de Paula Ferrari
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This project aims at the study of the two-dimensional flow around a circular cylinder using Navier-Stokes equations in order to compute the distributions of the velocity, pressure and stress. We focus on a reduced model for the flow, which leads to a lower computational cost. From the numerical solution of the flow, our goal is to build a velocity basis that represents the solution of the problem and to project the equations that govern the problem (Navier-Stokes and continuity) onto this basis. The objective is to construct a model with a reduced number of degrees of freedom.