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Reynolds stress decay modeling informed by anisotropically forced homogeneous turbulence

Ty Homan*, Omkar B. Shende†, and Ali Mani‡

  • *Contact author: tyhoman@stanford.edu
  • †Contact author: oshende@stanford.edu
  • ‡Contact author: alimani@stanford.edu
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Phys. Rev. Fluids 9, 094608 – Published 26 September, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.094608

Abstract

Models for solving the Reynolds-averaged Navier-Stokes equations are popular tools for predicting complex turbulent flows due to their computational affordability and their ability to provide or estimate quantities of engineering interest. However, results depend on a proper treatment of unclosed terms, which require progress in the development and assessment of model forms. In this study, we consider the Reynolds stress transport equations as a framework for second-moment turbulence closure modeling. We specifically focus on the terms responsible for decay of the Reynolds stresses, which can be isolated and evaluated separately from other terms in a canonical setup of homogeneous turbulence. We show that by using anisotropic forcing of the momentum equation, we can access states of turbulence traditionally not probed in a triply periodic domain. The resulting data span a wide range of anisotropic turbulent behavior in a more comprehensive manner than extant literature. We then considered a variety of model forms for which these data allow us to perform a robust selection of model coefficients, and we selected an optimal model that extends to cubic terms when expressed in terms of the principal coordinate Reynolds stresses. Performance of the selected decay model is then examined relative to the simulation data and popular models from the literature, demonstrating the superior accuracy of the developed model and, in turn, the efficacy of this framework for model selection and tuning.

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Phys. Rev. Fluids 9, 094608– Published 26 September, 2024
  • Received 18 June 2024
  • Accepted 6 September 2024
Article part of CHORUS
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