Abstract

Direct numerical simulation (DNS) and high-fidelity, implicit large-eddy simulation (HFILES) were carried out for turbulent boundary layers at Mach 2.3 and 4.9. Transition to turbulence was promoted with an artificial body force trip. Two main projects were carried out in this work. First, the effects of spatial resolution on spectra and other flow statistics were examined for the baseline Mach 2.3 turbulent boundary layer flow. The finest grid in the spatial resolution study consisted of 3.3× 10 points, and maintained max(∆x+1 ,∆x + 2 ,∆x + 3 ) ≤ 1 everywhere. Examining velocity spectra in detail, HFILES was seen to converge seamlessly to DNS as the spatial resolution was increased. Further, turbulence statistics were found to be essentially independent of the domain width for values between two and eight times the maximum boundary layer thickness. Second, variations from the baseline flow conditions were considered, and the results compared to an algebraic model for the turbulent energy flux developed by R. Bowersox (J. Fluid Mech., vol. 633, pp. 61–70, 2009). An impressive match was obtained between the model and simulations, for a wide range of wall temperature and Mach number.

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