ABSTRACT
Only a limited literature is available in which three-dimensional, hypersonic viscous flows of current interest have been investigated within the framework of the full Navier-Stokes (NS) equations. Research efforts by S. N. Belov and V. G. Sevast’yanenko, and B. Gustaffson and A. Sundstrom have identified the time-dependent NS equations as being incompletely parabolic. In the asymptotic limit of the Reynolds number approaching infinity, the time-dependent NS equations reduce to a quasilinear hyperbolic system. Differential grid generation can be classified as hyperbolic, elliptic, or parabolic. Hyperbolic schemes require only the specification of initial data at one boundary; the grid is generated by marching outward from this boundary until the far field is reached. The utility of the hyperbolic grid generation procedure has been demonstrated by its application to space huttle flowfield calculations. A hybrid grid generation algorithm developed by S. Nakamura and M. Suzuki avoids the disadvantages inherent to parabolic and hyperbolic grid systems.
