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Title: A general probabilistic approach for the quantitative assessment of LES combustion models

Abstract

The Wasserstein metric is introduced as a probabilistic method to enable quantitative evaluations of LES combustion models. The Wasserstein metric can directly be evaluated from scatter data or statistical results through probabilistic reconstruction. The method is derived and generalized for turbulent reacting flows, and applied to validation tests involving a piloted turbulent jet flame with inhomogeneous inlets. It is shown that the Wasserstein metric is an effective validation tool that extends to multiple scalar quantities, providing an objective and quantitative evaluation of model deficiencies and boundary conditions on the simulation accuracy. Several test cases are considered, beginning with a comparison of mixture-fraction results, and the subsequent extension to reactive scalars, including temperature and species mass fractions of CO and CO2. To demonstrate the versatility of the proposed method in application to multiple datasets, the Wasserstein metric is applied to a series of different simulations that were contributed to the TNF-workshop. Analysis of the results allows to identify competing contributions to model deviations, arising from uncertainties in the boundary conditions and model deficiencies. These applications demonstrate that the Wasserstein metric constitutes an easily applicable mathematical tool that reduce multiscalar combustion data and large datasets into a scalar-valued quantitative measure.

Authors:
 [1];  [1];  [1]
  1. Stanford Univ., CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1543528
Alternate Identifier(s):
OSTI ID: 1396741
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Combustion and Flame
Additional Journal Information:
Journal Volume: 183; Journal Issue: C; Journal ID: ISSN 0010-2180
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Thermodynamics; Energy & Fuels; Engineering

Citation Formats

Johnson, Ross, Wu, Hao, and Ihme, Matthias. A general probabilistic approach for the quantitative assessment of LES combustion models. United States: N. p., 2017. Web. doi:10.1016/j.combustflame.2017.05.004.
Johnson, Ross, Wu, Hao, & Ihme, Matthias. A general probabilistic approach for the quantitative assessment of LES combustion models. United States. doi:10.1016/j.combustflame.2017.05.004.
Johnson, Ross, Wu, Hao, and Ihme, Matthias. Thu . "A general probabilistic approach for the quantitative assessment of LES combustion models". United States. doi:10.1016/j.combustflame.2017.05.004. https://www.osti.gov/servlets/purl/1543528.
@article{osti_1543528,
title = {A general probabilistic approach for the quantitative assessment of LES combustion models},
author = {Johnson, Ross and Wu, Hao and Ihme, Matthias},
abstractNote = {The Wasserstein metric is introduced as a probabilistic method to enable quantitative evaluations of LES combustion models. The Wasserstein metric can directly be evaluated from scatter data or statistical results through probabilistic reconstruction. The method is derived and generalized for turbulent reacting flows, and applied to validation tests involving a piloted turbulent jet flame with inhomogeneous inlets. It is shown that the Wasserstein metric is an effective validation tool that extends to multiple scalar quantities, providing an objective and quantitative evaluation of model deficiencies and boundary conditions on the simulation accuracy. Several test cases are considered, beginning with a comparison of mixture-fraction results, and the subsequent extension to reactive scalars, including temperature and species mass fractions of CO and CO2. To demonstrate the versatility of the proposed method in application to multiple datasets, the Wasserstein metric is applied to a series of different simulations that were contributed to the TNF-workshop. Analysis of the results allows to identify competing contributions to model deviations, arising from uncertainties in the boundary conditions and model deficiencies. These applications demonstrate that the Wasserstein metric constitutes an easily applicable mathematical tool that reduce multiscalar combustion data and large datasets into a scalar-valued quantitative measure.},
doi = {10.1016/j.combustflame.2017.05.004},
journal = {Combustion and Flame},
number = C,
volume = 183,
place = {United States},
year = {2017},
month = {3}
}

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