Deolmi, G.; Dahmen, W.; Müller, S.; Albers, M.; Meysonnat, P. S.; Schröder, W. Effective boundary conditions for turbulent compressible flows over a riblet surface. (English) Zbl 1405.76015 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems I, Aachen, Germany, August 2016. Cham: Springer (ISBN 978-3-319-91544-9/hbk; 978-3-319-91545-6/ebook). Springer Proceedings in Mathematics & Statistics 236, 473-485 (2018). Summary: In [Y. Achdou et al., J. Comput. Phys. 147, No. 1, 187–218 (1998; Zbl 0917.76013); J. D. Anderson jun., Hypersonic and high temperature gas dynamics. Reston, VA.: American Institute of Aeronautics and Astronautics (AIAA). (1989; doi:10.2514/4.861956)], a numerical scheme is developed to accurately capture the microscale effects of periodic spanwise roughness at essentially the cost of solving twice a laminar problem on a smooth domain at affordable resolution. In the present work, this methodology is extended to the turbulent regime modeled by the compressible Reynolds-averaged Navier-Stokes (RANS) equations using a one-equation model. As an application, a subsonic flow over a flat plate with partially embedded periodic roughness, i.e., riblets, is considered.For the entire collection see [Zbl 1398.65011]. Cited in 1 Document MSC: 76F05 Isotropic turbulence; homogeneous turbulence 76N15 Gas dynamics (general theory) 35Q30 Navier-Stokes equations Keywords:multiscale modeling; effective boundary conditions; Navier wall law; compressible flow Citations:Zbl 0917.76013 PDFBibTeX XMLCite \textit{G. Deolmi} et al., Springer Proc. Math. Stat. 236, 473--485 (2018; Zbl 1405.76015) Full Text: DOI