An efficient two-layer wall model for high Reynolds number large eddy simulation

Wall-bounded flows at high Reynolds number are an important research field given that they are present in many important industrial applications. Nonetheless, the use of accurate numerical methodologies such as Large Eddy Simulation (LES) for routine industrial applications, is still unfeasible due to their heavy computational cost. Wall-Modeled LES is intended to circumvent the massive costs of accurately resolving the boundary layer while benefiting from the temporal and spatial resolution of an LES computation. In this work, a Two-Layer Wall Model with a general formulation suitable for non-equilibrium flows and complex geometries is presented. The Two-Layer Models (TLM) suffer from two recurrent problems, the ”log-layer mismatch” (LLM) and the resolved Reynolds stresses inflow (RRSI). Until now, complex and expensive techniques have been proposed to overcome these problems separately. In the present work, a timeaveraging filter (TAF) is considered to deal with both issues at once, with a single and low-computational-cost technique. It is the first time that the TAF technique is used to block the RRSI. In this regard, a numerical experiment is initially performed to assess the TAF ability in doing so. Afterward, the WM is tested in regular operating conditions with a Ret ˜ 3000 pipe flow case. Good results are obtained in all the performed tests, showing the capability of the TAF of suppressing the LLM while avoiding the RRSI at the same time. This makes the new TLM methodology a very effcient technique compared to other implementations proposed so far.