variavel0=Gustavo C. R. Bodstein - gustavo@serv.com.ufrj.br COPPE/UFRJ
Flávia dos Reis Carreiro - flavia@serv.com.ufrj.br COPPE/UFRJ
Abstract. In this work the unsteady, incompressible, two-dimensional flow around elliptic cylinders is studied. The flow around an elliptic cylinder in the physical plane is mapped into the flow around a circular cylinder in the computational plane by the Joukowsky transformation. The Discrete Vortex Method is used to calculate the flow around the circular cylinder. The dynamics of the body wake is computed using the convection-diffusion splitting algorithm, where the convection process is carried out with a lagrangian-first-order time-marching scheme, and the diffusion process is simulated using the random walk method. The Circle Theorem is used to impose the impermeability condition on the body surface, whereas the no-slip condition is satisfied at the specific points on the body. The aerodynamic forces are calculated from the unsteady Blasius equation. Results are presented for high Reynolds number flows, showing good agreement with other results available in the literature.
Keywords. Vortex Methods, Conformal Transformation, Elliptic Cylinders, Aerodynamics.