Effective Boundary Conditions for Turbulent Compressible Flows over a Riblet Surface

Abstract

In Achdou et al. (J Comp Phys 147:187–218, 1998, [9]), Anderson (Hypersonic and High Temperature Gas Dynamics, 1989, [10]), 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.