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A method for examining ensemble averaging forms during the transition to turbulence in HED systems for application to RANS models

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/5.0180549· OSTI ID:2340896
 [1];  [1];  [1];  [1];  [1]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
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This paper discusses a strategy to initialize a two-dimensional (2D) Reynolds-averaged Navier–Stokes model [LANL's Besnard–Harlow–Rauenzahn (BHR) model] in order to describe an unsteady transitional Richtmyer–Meshkov (RM)-induced flow observed in on-going high-energy-density ensemble experiments performed on the OMEGA-EP facility. The experiments consist of a nominal single-mode perturbation (initial amplitude a0 ≈ 10 and wavelength $$λ$$ = 100μm) with target-to-target variations in the surface roughness subjected to the RM instability with delayed Rayleigh–Taylor in a heavy-to-light configuration. Our strategy leverages high-resolution three-dimensional (3D) implicit large eddy simulations (ILES) simulations to initialize BHR-relevant parameters and subsequently validate the 2D BHR results against the 3D ILES simulations. A suite of five 3D ILES simulations corresponding to five experimental target profiles is undertaken to generate an ensemble dataset. Using ensemble averages from the 3D simulations to initialize the turbulent kinetic energy in the BHR model (K 0) demonstrates the ability of the model to predict the time evolution of the interface as well as the density-specific-volume covariance, b. To quantify the sensitivity of the BHR results to the choice of K 0 and the initial turbulent length scale, S 0, we execute a parameter sweep spanning four orders of magnitude for both S 0 and K 0, generating a parameter space consisting of 26 simulations. The Pearson's correlation coefficient is used as a measure of discrepancy between the 2D BHR and 3D ILES simulations and reveals that the ranges 8≲S 0≲20 μm and 109≲K 0≲1010 cm2/s2 produce predictions that agree best with the 3D ILES results.
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2340896
Report Number(s):
LA-UR--23-31593
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 31; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY