Guarini, Stephen E.; Moser, Robert D.; Shariff, Karim; Wray, Alan Direct numerical simulation of a supersonic turbulent boundary layer at Mach 2. 5. (English) Zbl 0983.76039 J. Fluid Mech. 414, 1-33 (2000). From the summary: A direct numerical simulation of a supersonic turbulent boundary layer has been performed. We assume that the boundary layer grows so slowly in the streamwise direction that the turbulence can be treated as approximately homogeneous in this direction. The slow growth is accounted for by a coordinate transformation and a multiple-scale analysis. The result is a modified system of equations, in which the flow is homogeneous in both the streamwise and spanwise directions, and which represents the state of the boundary layer at a given streamwise location. The equations are solved using a mixed Fourier and B-spline Galerkin method. Cited in 57 Documents MSC: 76F65 Direct numerical and large eddy simulation of turbulence 76F40 Turbulent boundary layers 76J20 Supersonic flows 76M22 Spectral methods applied to problems in fluid mechanics Keywords:Fourier method; direct numerical simulation; supersonic turbulent boundary layer; coordinate transformation; multiple-scale analysis; B-spline Galerkin method PDFBibTeX XMLCite \textit{S. E. Guarini} et al., J. Fluid Mech. 414, 1--33 (2000; Zbl 0983.76039) Full Text: DOI