Localized Resolvent-Mode Bases for Turbulence Statistics

Details

• Creators:
  Eichberger, Ethan ; Heidt, Liam F ; Colonius, Tim
• Corporate Creators:
  United States. Department of Transportation. Federal Aviation Administration. Center of Excellence for Alternative Jet Fuels and Environment ; University of Illinois at Urbana-Champaign
• Corporate Contributors:
  United States. Department of Transportation. Federal Aviation Administration. Office of Environment and Energy
• Subject/TRT Terms:
  Algorithms ASCENT Aviation Compressible Flow Data Processing Operations Flow Fluid Dynamics Kinetic Energy Power Spectra Radial Velocity Reynolds Averaged Navier Stokes Shear Layers Spectral Proper Orthogonal Decomposition Statistical Analysis Strouhal Numbers Turbulence

  More +
• Publication/ Report Number:
  AIAA 2024-3205
• DOI:
  https://doi.org/10.2514/6.2024-3205
• Resource Type:
  Proceedings
• Right Statement:
  Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.
• Geographical Coverage:
  United States
• Corporate Publisher:
  American Institute of Aeronautics and Astronautics, Inc
• Abstract:
  Modes from global resolvent analyses have been shown to accurately model the frequencies and spatial structure of the dominant coherent structures in several turbulent flows. However, resolvent-mode forcing models must be developed to predict the amplitude of the structures or other flow statistics, including the radiated noise. The present research aims to apply data-driven approaches to learn forcing coefficients from lower-order statistics available from Reynolds-averaged Navier-Stokes (RANS) predictions. As a first step towards this goal, we present a novel localized resolvent framework that reconstructs global quantities at low rank through spatially restricting the resolvent forcing and response domains. To illustrate the flexibility and robustness of the proposed framework, we initially utilize localized resolvent modes to reconstruct the spectral proper orthogonal decomposition (SPOD) modes of an isothermal Mach 0.4 jet at ???? = 450, 000. The results showcase the flexibility localized resolvent modes provide in the construction of global SPOD, while using 10 or fewer total localized modes total across ???? = [0.05, 1.00]. Furthermore, we employ localized resolvent modes to reconstruct second-order statistics, comparing their performance with that of global modes. At low reconstruction error, it is shown that about twice as many global modes are needed to achieve comparable errors.
• Content Notes:
  This material is declared a work of the U.S. Government. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Please cite as: Ethan R. Eichberger, Liam Heidt and Tim Colonius. "Localized Resolvent-Mode Bases for Turbulence Statistics," AIAA 2024-3205. 30th AIAA/CEAS Aeroacoustics Conference (2024). June 2024. https://doi.org/10.2514/6.2024-3205
• Format:
  PDF
• Funding:
  13-C-AJFE-UI-031
• Collection(s):
  Federal Aviation Administration
• Main Document Checksum:
  urn:sha-512:d584439d9c4baecfb521b87a55a588111ddfe09007aa508570a98f204bca07d78176cfe2666b3145abe3d4d93e1a51e4c264f469a9d473de49f151d97624e712
• Download URL:
  https://rosap.ntl.bts.gov/view/dot/85117/dot_85117_DS1.pdf
• File Type:
  [PDF - 10.03 MB ]