Effective Boundary Conditions for Turbulent Compressible Flows over a Riblet Surface
In Achdou et al. (J Comp Phys 147:187–218, 1998, ), Anderson (Hypersonic and High Temperature Gas Dynamics, 1989, ), 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.
KeywordsMultiscale modeling Effective boundary conditions Navier wall law Compressible flow
This work has been supported in part by the German Research Council (DFG) within the DFG Research Unit FOR 1779, by grant DA 117/22-1 and the DFG Collaborative Research Center SFB-TR-40, TP A1, and by the Excellence Initiative of the German Federal and State Governments (RWTH Aachen Distinguished Professorship, Graduate School AICES). Furthermore, the computing resources made available by the High-Performance Computing Center in Stuttgart (HLRS) along with the continued support are gratefully acknowledged.
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