Numerical solution of the Navier-Stokes equations for incompressible flows: study of segregation methods for formulations in primitive variables

• Grant number: 15/14793-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2015
• End date: September 30, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Fabrício Simeoni de Sousa
• Grantee: Annie Queiroz Piva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

This research proposal describes a study of numerical methods for the solution of the Navier-Stokes equations for confined incompressible flows, written in terms of primitive variables. To simplify this model, the flow is considered to be isothermal and predominantly viscous (low Re). Second order finite difference discretization methods will be employed. Emphasis will be given in the method for the solution of the Navier-Stokes model, starting from the study of the monolithic method, and further methods for segregating pressure from velocity calculations.