High Reynolds Viscous Flow Simulation Past the Elliptical Airfoil by Random Vortex Blob

In this paper, numerical simulation for a twodimensional viscous and incompressible flow past the elliptical airfoil is presented by Random Vortex Blob (RVB). RVB is a numerical technique to solve the incompressible, twodimensional and unsteady NavierStocks equations by converting them to rotational nonprimitive formulations. In this method, the velocity vector at a certain point can be calculated without considering any grid around it, so the RVB method can be treated as a meshless method. Accordingly, the turbulent flow past a cylinder as well as an elliptical airfoil is investigated. In both cases, the obtained mean time velocities are compared with available numerical and experimental results where an acceptable agreement is observed. Having known the velocity field, by employing momentum balance, the drag and lift coefficients caused by flow past the elliptical airfoil with different diameter ratios and Re=10^5 are calculated and compared with experimental data where a good consistency is achieved.