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Closure modeling in near-wall region of steep resolution variation for partially averaged Navier-Stokes simulations

Chetna Kamble* and Sharath Girimaji

Pooyan Razi

Pedram Tazraei

Stefan Wallin

  • Department of Ocean Engineering, Texas A&M University, College Station, Texas 77843, USA

  • General Motors, Warren, Michigan 48092, USA

  • Convergent Science, Madison, Wisconsin 53719, USA

  • FLOW, Department of Engineering Mechanics, KTH, Stockholm 11428, Sweden

  • *Corresponding author: chetna_2491@tamu.edu
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Phys. Rev. Fluids 7, 044608 – Published 29 April, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.044608

Abstract

We seek to develop a closure model to enable scale-resolving simulation (SRS) of a turbulent flow to optimally switchover from a Reynolds-averaged Navier-Stokes (RANS) calculation at the wall to a specified degree of resolution in the wake or free-stream region. The closure model is derived by (i) using the physical principle that the total energy of resolved and unresolved scales should be conserved in the switchover region and (ii) establishing consistency with equilibrium boundary layer scaling of the partially resolved field. The model development is performed in the context of a partially averaged Navier-Stokes (PANS) scale-resolving method by quantifying and modeling the commutation terms resulting from varying resolutions in the wall-normal direction. The resulting wall-modeled PANS (WM-PANS) is used to compute the turbulent channel flow in the Reτ range 180−8000. The influence of the RANS-SRS switchover location on the computed flow field is examined. It is then demonstrated that the mean flow is reproduced with reasonable accuracy at modest computational effort without discernible log-layer mismatch even at the highest Reynolds number considered. While the Reynolds stresses are also recovered accurately over most of the flow domain, a noticeable computational transition from RANS to unsteady SRS flow behavior is observed and the underlying physics is examined. Irrespective of the location of computational transition, the unsteady features of the flow away from the wall are well captured. It is demonstrated that the proposed closure is able to inject the appropriate amount of resolved turbulence without the need for artificially generated synthetic turbulence. Overall, WM-PANS presents an accurate and computationally viable option for scale-resolving computations of near-wall high-Reynolds number flows.

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Phys. Rev. Fluids 7, 044608– Published 29 April, 2022
  • Received 2 May 2021
  • Accepted 21 March 2022
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