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Title: Ensemble Kalman Filter for Assimilating Experimental Data into Large-Eddy Simulations of Turbulent Flows

Abstract

Data assimilation techniques are investigated for integrating high-speed high-resolution experimental data into large-eddy simulations. To this end, an ensemble Kalman filter is employed to assimilate velocity measurements of a turbulent jet at a Reynolds number of 13,500 into simulations. The goal of the current work is to examine the behavior of the assimilation algorithm for state estimation of turbulent flows that are of relevance to engineering applications. This is accomplished by investigating the impact that localization, measurement uncertainties, assimilation frequency, data sparsity and ensemble size have on the estimated state vector. For the flow configuration and computational setup considered in this study an optimal value of the localization radius is identified, which minimizes the error between experimental data and state vector. The impact of experimental uncertainties on the state estimation is demonstrated to provide solution bounds on the assimilation algorithm. In this work, it is found that increasing the number of ensembles has a positive impact on the state estimation. In comparison, decreasing the assimilation frequency or reducing the experimental data available for assimilation is found to have a negative impact on the state estimation. These findings demonstrate the viability of assimilating measurements into numerical simulations to improve state estimates,more » to support parameter evaluations and to guide model assessments.« less

Authors:
ORCiD logo [1];  [1];  [1];  [2];  [2];  [1]
  1. Stanford Univ., CA (United States)
  2. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Org.:
National Aeronautics and Space Administration (NASA); Stanford-Ford Alliance; USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division; USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1772036
Report Number(s):
SAND-2021-2782J
Journal ID: ISSN 1386-6184; 694695
Grant/Contract Number:  
AC04-94AL85000; NNX15AV04A; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Flow, Turbulence and Combustion
Additional Journal Information:
Journal Volume: 104; Journal Issue: 4; Journal ID: ISSN 1386-6184
Publisher:
European Research Community on Flow, Turbulence and Combustion (ERCOFTAC)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Data assimilation; High-speed experimental data; Large-eddy simulation

Citation Formats

Labahn, Jeffrey W., Wu, Hao, Harris, Shaun R., Coriton, Bruno, Frank, Jonathan H., and Ihme, Matthias. Ensemble Kalman Filter for Assimilating Experimental Data into Large-Eddy Simulations of Turbulent Flows. United States: N. p., 2019. Web. doi:10.1007/s10494-019-00093-1.
Labahn, Jeffrey W., Wu, Hao, Harris, Shaun R., Coriton, Bruno, Frank, Jonathan H., & Ihme, Matthias. Ensemble Kalman Filter for Assimilating Experimental Data into Large-Eddy Simulations of Turbulent Flows. United States. https://doi.org/10.1007/s10494-019-00093-1
Labahn, Jeffrey W., Wu, Hao, Harris, Shaun R., Coriton, Bruno, Frank, Jonathan H., and Ihme, Matthias. Thu . "Ensemble Kalman Filter for Assimilating Experimental Data into Large-Eddy Simulations of Turbulent Flows". United States. https://doi.org/10.1007/s10494-019-00093-1. https://www.osti.gov/servlets/purl/1772036.
@article{osti_1772036,
title = {Ensemble Kalman Filter for Assimilating Experimental Data into Large-Eddy Simulations of Turbulent Flows},
author = {Labahn, Jeffrey W. and Wu, Hao and Harris, Shaun R. and Coriton, Bruno and Frank, Jonathan H. and Ihme, Matthias},
abstractNote = {Data assimilation techniques are investigated for integrating high-speed high-resolution experimental data into large-eddy simulations. To this end, an ensemble Kalman filter is employed to assimilate velocity measurements of a turbulent jet at a Reynolds number of 13,500 into simulations. The goal of the current work is to examine the behavior of the assimilation algorithm for state estimation of turbulent flows that are of relevance to engineering applications. This is accomplished by investigating the impact that localization, measurement uncertainties, assimilation frequency, data sparsity and ensemble size have on the estimated state vector. For the flow configuration and computational setup considered in this study an optimal value of the localization radius is identified, which minimizes the error between experimental data and state vector. The impact of experimental uncertainties on the state estimation is demonstrated to provide solution bounds on the assimilation algorithm. In this work, it is found that increasing the number of ensembles has a positive impact on the state estimation. In comparison, decreasing the assimilation frequency or reducing the experimental data available for assimilation is found to have a negative impact on the state estimation. These findings demonstrate the viability of assimilating measurements into numerical simulations to improve state estimates, to support parameter evaluations and to guide model assessments.},
doi = {10.1007/s10494-019-00093-1},
journal = {Flow, Turbulence and Combustion},
number = 4,
volume = 104,
place = {United States},
year = {Thu Dec 05 00:00:00 EST 2019},
month = {Thu Dec 05 00:00:00 EST 2019}
}

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