High-Order Simulation of Induced Disturbance in a Mach 6 Boundary Layer

Abstract

Simulations of the early evolution of induced unstable disturbances in a Mach 6 hypersonic boundary layer are presented for the purposes of validating a high-order discontinuous Galerkin Navier-Stokes simulation code. The simulations are modeled after experiments performed in the Boeing/AFOSR Mach-6 Quiet Tunnel at Purdue University. In these experiments, a forcing mechanism was employed to induce reproducible disturbances in a hypersonic boundary layer providing for the controlled study of the growth and breakdown of these disturbances into turbulent spots. Simulations revealed that the form and strength of the excitation can greatly influence the growth of the disturbance. In particular, at large forcing amplitude, the simulated forcing produces large advecting transients that appear to enhance the growth of the wave packet, relative to that of low amplitude forcing. Simulation results with large amplitude forcing agree well with experimental results while results from low amplitude forcing agree with linear stability theory.

Simulations of Compressible Taylor-Green Flow by a Discontinuous Galerkin Method

“…The current implementation has been applied to a range of flows from two-dimensional linear acoustics 11 to three-dimensional turbulent spot simulations. 12 The method has demonstrated superconvergence for the shedding frequency for viscous flow over a two-dimensional cylinder. 13 Section III.…”