An improved multistage time stepping for second-order upwind TVD schem
es to compute the Euler equations is suggested by splitting the residu
al into the first-order flux and the antidiffusive terms. The flows pa
ssing through the cascade built of two circular are blades and through
the NACA0012 airfoil are selected to test this method. Present time s
tepping shows excellent results in view of the convergence acceleratio
n ability for supersonic, transonic, and subsonic flows compared with
the Wiedermann and Iwamoto's time stepping. Copyright (C) 1996 Elsevie
r Science Ltd.