Parabolized Navier-Stokes analysis of ducted supersonic combustion problems

The extension of a recently developed implicit/explicit approach to analyzing two-dimensional ducted supersonic mixing problems with finite-rate chemistry is presented. The hybrid approach combines a fully implicit parabolic mixing algorithm, an explicit viscous-characteristic-based wave-solver algorithm, and a linearized implicit chemical kinetic solution algorithm. The resultant model provides spatial marching solutions of the parabolized Navier-Stokes (PNS) equations for supersonic combustion problems. Specialized procedures are incorporated to deal with the near-wall sublayer. A parabolic option is available that can be utilized in the direct or inverse mode for design applications. The ability of the model to treat shock waves and wave/mixing layer interactions is assessed via comparisons of predictions with those of well-establis hed, explicit shock-capturing Euler (SCIPPY) and PNS (SCIPVIS) models. Applications to several supersonic combustion flowfield problems are presented that exhibit overall capabilities.