Multi-element airfoils are generally used to increase the aerodynamic performance of aircraft during landing and take-off. The two-element airfoil are composed with a main element and a flap at the trailing edge. Its configurations is simpler than the three-element airfoil. Demands on the understanding of high-lift aerodynamics and development of high-lift airfoils are continuing since its introduction. For such purposes, numerical methods for the aerodynamic analysis of two-element airfoils are compared in this paper. They are MSES, a streamtube Euler solver for single and multi-element airfoils, and Fluent. Air foil configurations are NLR7301 with a flap and NACA4416 with a flap. Both numerical methods show good correlation with experimental data.