Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
EVALUATION OF CONVERGENCE OF VORTEX PANEL METHOD FOR OBTAINING AERODYNAMIC COEFFICIENTS FOR NACA 0012 AIRFOIL
Submission Author:
Bernardo Mello Alves , RJ
Co-Authors:
Bernardo Mello Alves, VICTOR SANTORO SANTIAGO, André Luiz Tenório Rezende
Presenter: VICTOR SANTORO SANTIAGO
doi://10.26678/ABCM.COBEM2023.COB2023-0046
Abstract
In this work a numerical model for solving viscous, incompressible two-dimensional flows is applied, in a transient regime, around NACA 0012 airfoil for obtaining aerodynamic coefficients. The numerical model implements the panels method together with the vortex method, where the body is discretized in a polygon of straight panels with linear vorticity distribution, while the vorticity field is discretized using Lamb vortices. The potential solution for the panel method is obtained considering the non-penetration boundary condition on the surface of the studied body. The radii of the nuclei of the nascent vortices are obtained through diffusion distance theory. Simulations are performed considering a fixed number of nascent vortices per panel, as well as a variable number of nascent vortices considering the variation of panel length. Additionally, convergence tests are performed by satisfying Kutta condition in the first iteration. Variations in the positions of discrete vortices in space are calculated by integrating in time, by the 2nd order Adams-Bashforth method, the velocities for the convective motion are obtained by accounting the influence of all cloud vortices and also the influence of the panels. The diffusive motion is obtained through the random walk method. In order to accelerate calculations, adtative fast multipole expansion is used.
Keywords
panel method, Vortex Method, Aerodynamics, random walk method
