In this article we face a very challenging numerical problem. We aim to calculate the lift and drag coeffcient for a symmetrical airfoil and try to model, as much as our computational power allows us, both coeffcients for the specifc case of a plane's takeoff. We see how diffcult this problem is due to the turbulences and sharp fronts on the boundary layer appearing for high Reynolds numbers which are impossible to capture without a good numerical implementation and a huge computational power. 2015/2016