Contributions to the computation of compressible turbulence

We present an overview of a portion of the compressible turbulence program associated with the ASCI sponsored Center for Simulation of Dynamic Response of Materials. The role of modeling for large-eddy simulation (LES) in connection with compressible turbulence phenomena associated with the overarching application of the center-a virtual high energy shock tube-is described. The goal is to incorporate into the virtual facility the capability for high-order simulations of shock initiated turbulence associated with both Richtmyer-Meshkov and Rayleigh-Taylor instabilities. We also describe 256³ direct numerical simulations (DNS) of decaying compressible, isotropic turbulence at fluctuation Mach numbers of M_t ~ 0.5 and at Taylor Reynolds numbers Reλ = 0(100). Comparisons of the decay of the turbulent kinetic energy obtained from the DNS with LES results at 32³ resolution using two different subgrid scale (SGS) models are presented, and the effect of the order of the Pade-based scheme used on the model performance is discussed. Finally, detailed computations of the three-dimensional Richtmyer-Meshkov instability carried out with a finite-volume method on a massively parallel computer are described. These include the reshock phase following shock reflection from a plane wall.