Direct Simulation and Theoretical Study of Sub- and Supersonic Wakes.

摘要

Wakes are constitutive components of engineering, aeronautical and geophysical flows. Despite their canonical nature, many fundamental questions surrounding wakes remain unanswered. The present work studies the nature of archetypal planar splitter-plate wakes in the sub- and supersonic regimes from a theoretical as well as a numerical perspective. A highly-parallelizable computational fluid dynamic solver was developed, from scratch, for the very-large scale direct numerical simulations of high-speed free shear flows.;Wakes maintain a near indelible memory of their origins; thus, changes to the state of the flow on the generating body lead to multiple self-similar states in the far wake. To understand the source of the lack of universality, three distinct wake evolution scenarios are investigated in the incompressible limit: the Kelvin-Helmholtz transition, the bypass transition in an asymmetric wake and the initially turbulent wake. The multiplicity of self-similar states is the result of a plurality of far wake structural organizations, which maintains the memory of the flow. The structural organization is predicated on the presence or absence of near wake anti-symmetric perturbations (as a result of shedding, instability modes and/or trailing edge receptivity). The plurality of large-scale structural organization contrasts with the commonality observed in the mid-sized structures, which are dominated by inclined vortical rods, and not, as previously assumed, by horseshoe structures.;The compressibility effects are a direct function of the maximal velocity defect in the wake and are therefore only important in the transitional region - the far wake having an essentially incompressible character. The compressibility simultaneously modifies the growth rate and wavelength of the primary instability mode with a concomitant effect on the emerging transitional structures. As a direct result, the spanwise rollers have an increasing ellipticity and cross-wake domain of influence with the increasing Mach number of the wake. Consequently, structural pairing - a key feature of wake transition - is inhibited at a critical Mach number, which greatly modifies the transitional dynamics. In idealized wakes, the increased stability caused by the compressibility effects leads to a vortex breakdown of secondary structures prior to the full transition of the principal mode. These findings open the door to novel mixing enhancement and flow control possibilities in the high-speed wake transition.;Keywords: FLUID DYNAMICS, DIRECT NUMERICAL SIMULATIONS, FREE SHEAR FLOWS, TURBULENCE, NUMERICAL METHODS.