Numerical simulation of normal shock wave/turbulent boundary-layer interaction over a bump surface

Abstract

Numerical computation of the normal shock wave/turbulent boundary layer interaction over a bump is discussed here. The time-dependent, two-dimensional Reynolds averaged compressible Navier-Stokes equations have been solved employing three-stage Runge-Kutta time-stepping scheme in-conjunction with a finite volume discretization of spatial coordinates. The closure of these equations is obtained using the Baldwin-Lomax turbulence model. Artificial dissipation terms are added to the numerical scheme to maintain numerical stability and they contain a blend of second and fourth differences of the state vector with an appropriate pressure switch that detects the presence of strong pressure gradients. The

<span style="font-size:12.0pt;line-height:115%;font-family:" times="" new="" roman","serif";="" mso-fareast-font-family:"times="" roman";mso-ansi-language:en-in;mso-fareast-language:="" en-in;mso-bidi-language:hi"="" lang="EN-IN">formation of the λ-shock is simulated by setting downstream pressure condition using an adjustable aerofoil. The numerical solution captures the λ-shock associated with the separated boundary layer inside the channel, which is very sensitive to the exit condition of the flow. Comparisons have been made with available experimental data such as interferogram and wall pressure distributions. They are found to be in good agreement.</span>