variavel0=Fabiano Hernandes - f_hernandes@bol.com.br EMBRAER Paulo Afonso de Oliveira Soviero - soviero@aer.ita.br ITA Abstract. A numerical method similar to the free vortex methodology is presented. The response of the thin profile to the unit step function (indicial response) for a supersonic uniform flow is studied. Results for the proposed model are presented as the lift, pitching moment and pressure coefficients along the profile chord for some instants of time. The method is also compared with analytical solutions available in the literature. Keywords. SUPERSONIC, COMPRESSIBLE, UNSTEADY FLOW, THIN AIRFOIL, INDICIAL.