ABSTRACT
The parabolized Navier-Stokes (PNS) equations are obtained from the full NS equations by neglecting molecular transport effects along the main shock layer flow while retaining them in transverse and normal directions. The resulting equations, while being first-order accurate in the marching direction, provide second-order accuracy in the two remaining coordinates, and are therefore capable of accounting for crossflow reversal. Studies by J. C. Adams and P. R. Gogineni and associates are concerned with the flow over spherically blunted cones at angles of attack sufficiently large for crossflow separation to occur. These researchers concluded that the crossflow separation region exerts an appreciable influence on the aerodynamics of a long-range entry vehicle. J. C. Tannehill et al. present an upwind-difference procedure of second-order accuracy in the marching direction that is capable of computing chemically reacting flows in nonequilibrium.
