TURBULENCE SHOCK WAVE INTERACTIONS IN CHEMICALLY REACTING FLOWS/

Physical interactions between turbulence and shock waves are very comp lex phenomena. If these interactions take place in chemically reacting flows, the degree of complexity increases dramatically. Examples of a pplications may be cited in the area of supersonic combustion, in whic h the controlled generation of turbulence and/or large scale vortices in the mixing and flame-holding zones is crucial for efficient combust ion. Equally important, shock waves interacting with turbulence and ch emical reactions affect the combustor flowfield resulting in enhanced relaxation and chemical reaction rates. Chemical reactions in turn con tribute to dispersion of shock waves and reduction of turbulent kineti c energies. Computational schemes to address these physical phenomena must be capable of resolving various length and time scales. These sca les are widely disparate and the most optimum approach is found in exp licit/implicit adjustable schemes for the Navier-Stokes solver. This i s accomplished by means of the generalized Taylor-Galerkin (GTG) finit e element formulations. Adaptive meshes are used in order to assure ef ficiency and accuracy of solutions. Various benchmark problems are pre sented for illustration of the theory and applications. Geometries of ducted rockets, supersonic diffusers, flame holders, and hypersonic in lets are included. Merits of proposed schemes are demonstrated through these example problems.