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Subgrid-scale pressure field of scale-enriched large eddy simulations using Gabor modes

Ryan D. Hass

Aditya S. Ghate

Sanjiva K. Lele

  • Department of Mechanical Engineering, Stanford University, Stanford, California 94305, USA

  • Department of Aeronautics and Astronautics, Stanford University, Stanford, California 94305, USA

  • Department of Mechanical Engineering and Department of Aeronautics and Astronautics, Stanford University, Stanford, California 94305, USA

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Phys. Rev. Fluids 6, 124607 – Published 30 December, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.124607

Abstract

With the continuing progress in large eddy simulations (LES), and ever increasing computational resources, it is currently possible to numerically solve the time-dependent and anisotropic large scales of turbulence in a wide variety of flows. For some applications this large-scale resolution is satisfactory. However, a wide range of engineering problems involve flows at very large Reynolds numbers where the subgrid-scale dynamics of a practical LES are critically important to design and yet are out of reach given the computational demands of solving the Navier Stokes equations; this difficulty is particularly relevant in wall-bounded turbulence where even the large scales are often below the implied filter width of modest cost wall modeled LES. In this paper we briefly introduce a scale enrichment procedure which leverages spatially and spectrally localized Gabor modes. The method provides a physically consistent description of the small-scale velocity field without solving the full nonlinear equations. The enrichment procedure is appraised against its ability to predict small-scale contributions to the pressure field. We find that the method accurately extrapolates the pressure spectrum and recovers pressure variance of the full field remarkably well when compared to a computationally expensive, highly resolved LES. The analysis is conducted both in a priori and a posteriori settings for the case of homogeneous isotropic turbulence.

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References (22)

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Outline

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Phys. Rev. Fluids 6, 124607– Published 30 December, 2021
  • Received 29 December 2020
  • Accepted 6 December 2021
Article part of CHORUS
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