Vinicius Waldileme Coelho Mota

Abstract

This work presents a two-dimensional numerical simulation of viscous and incompressible flow around a symmetric airfoil placed in a wind tunnel, operating in a transitional regime with a Reynolds number on the order of 11,400. The primary objective is to analyze the behavior of aerodynamic forces at different angles of attack and under low flow velocity. The adopted model is based on the primitive variable formulation of the Navier-Stokes equations, solved using the Finite Element Method with P1P1+ interpolation and a semi-Lagrangian time integration scheme, ensuring numerical stability of the pressure-velocity coupling and the convective term. The implementation was carried out in Python, employing efficient numerical libraries for sparse matrix operations. The developed code was validated through benchmark cases from the literature. Additionally, a comparative performance analysis between CPU and GPU was conducted for the linear system solution, highlighting the influence of mesh size on computational efficiency. The results demonstrate good physical accuracy and reveal relevant trends regarding the computational cost of different hardware architectures

Advising

Advisor: Anjos, G. R.