| Two new algorithms are presented to predict the flow of viscous, hypersonic, chemically reacting gases over three-dimensional bodies. Both algorithms take advantage of the benefits of upwind differencing, Total Variation Diminishing (TVD) techniques and of a finite-volume framework, but obtain their solution in two separate manners. The first algorithm is a time-marching scheme, and is generally used to obtain solutions in the subsonic portions of the flow field. The second algorithm is a much less expensive, space-marching scheme and can be used for the computation of the larger, supersonic portion of the flow field. Both codes compute their interface fluxes with a new temporal Riemann solver and the resulting schemes are made fully implicit including all chemistry effects. Capabilities for perfect, equilibrium, and nonequilibrium gases have been developed and a strong coupling is used between the fluid dynamic and chemical equations. Results are included for the hypersonic laminar flow of reacting air over three different geometries. Comparison of the results with existing experimental and computational data shows good agreement. |
