Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Error Propagation in Parametrization Methods for NACA Airfoils
Submission Author:
João Victor Barros dos Santos , RJ , Brazil
Co-Authors:
João Victor Barros dos Santos, Guilherme Amaral do Prado Campos, Vinícius Gomes Pereira Siston, José Luiz Zanon Zotin
Presenter: João Victor Barros dos Santos
doi://10.26678/ABCM.COBEM2021.COB2021-1531
Abstract
Over the past decade, wind turbines have been improving their Benefit-Cost Ratio mainly due to the evolution of higher performance aerodynamic profiles, obtained through increasing studies in the optimization area applied to aerodynamics. In the literature, some methods of airfoil parameterization have been used to help the process of wing profile optimization, such as the Bezier method, PARSEC method, the Bezier-PARSEC method, the Sobieczky method, the Modified Sobieczky method, among others. These methods aim to guarantee the original profile geometry with a reduced number of control points, resulting in an optimization process with a lower computational cost. In this article, the Bezier and PARSEC parameterization methods were compared to verify the error propagation behavior for nine symmetrical NACA profiles and different Reynolds number values. A previous study concluded that the Bezier method has an advantage over PARSEC, as it presents a parameterized profile with a smaller number of control points and good approximation. However, the study was limited to just one profile model and a single Reynolds number. Therefore, the present work sought to understand whether the Bezier method remains the most suitable for different symmetrical airfoils as well as the most suitable for the optimization analysis. Within this analysis, the number of control points was evaluated by comparing the geometric error of the original profile with the parameterized profile. The pressure and lift coefficient errors were also quantified by implementing the XFOIL program in MATLAB to guarantee the similarity in the aerodynamic properties between the original and parameterized airfoil. As a result, there was a linear increase in the geometric error as a function of both the NACA profile thickness and Reynolds numbers.
Keywords
naca, Bézier curve, PARSEC, Parametrization
