Direct numerical simulations of three-dimensional hypersonic flow over a flat plate with periodic holes

Abstract

A numerical study is presented which investigates, through direct numerical simulation (DNS) of the Navier-Stokes equations, the main characteristics of a three-dimensional (3D) hypersonic flow at Mach 6 over a at plate with periodic pores in both the streamwise and spanwise directions. Some preliminary two-dimensional (2D) simulations have been run first, through which an initial validation of the numerical code, a grid convergence study, and a parametric study showing the sensitivity of the solution to different Reynolds numbers and wall temperatures have been performed. The method used to carry out the numerical simulations consists of a 6th-order central differencing base scheme, in conjunction with a shock-capturing symmetric 6th-order weighted-essentially-non-oscillatory (WENO) scheme, which provides higher numerical stability in the critical regions of strong gradients while minimising the numerical dissipation in smooth regions. The results show the capabilities of the code in carrying out high-resolution simulations with relatively low computational cost for the present configuration. The viscosity effects relative to a lower Reynolds number have been found to enhance fluid trapping and recirculation within the pores in the 2D case, however in the 3D case internal
recirculation is enhanced at the higher Reynolds number via more influent
3D flow effects. Moreover, acoustic waves have been found to be radiated
from the pore edges into the boundary layer, which are stronger at the lower Reynolds number. An increase of the radiated acoustic-field amplitude has been observed to be induced also by wall cooling. The three-dimensional characteristics of the flow nearby the pores are presented and discussed for two different Reynolds numbers.

More information

Identifiers

ORCID for Ralf Deiterding: orcid.org/0000-0003-4776-8183

ORCID for Neil Sandham: orcid.org/0000-0002-5107-0944

Catalogue record

Export record