Abstract: A new time-accurate marching successive over-relaxation(SOR)scheme with second order in time for unsteady flow is proposed to solve the NavierStokes equation and forced pitching equation in the present work.It is applied to numerically simulating the viscous flow over airfoil NACA0012,hyper ballistic shape and basic finner missile in forced pitching movement at different initial angles of attack.Then the time history of dynamic aerodynamic force and moment coefficients is achieved and the static derivatives and dynamic derivatives of pitching are obtained by integral methods.By comparing the present computational results with the experimental data and computational data obtained through the engineering method,the dynamic nonlinear characteristics are analyzed of vehicles at high angles of attack.The present computational results accord with the experimental data,which indicate that the present method is capable of simulating the dynamic characteristics of vehicles at high angles of attack with accuracy; and it may find wide application in engineering.

Key words: unsteady flow, SOR algorithm, forced pitching, static derivatives, dynamic derivatives