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:
-
- 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. https://doi.org/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. https://doi.org/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 = {Thu Mar 23 00:00:00 EDT 2017},
month = {Thu Mar 23 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Laser diagnostics and their interplay with computations to understand turbulent combustion
journal, January 2007
- Barlow, Robert S.
- Proceedings of the Combustion Institute, Vol. 31, Issue 1
Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion
journal, January 1999
- Pierce, Charles D.; Moin, Parviz
- Journal of Fluid Mechanics, Vol. 504
Computational study of flame characteristics of a turbulent piloted jet burner with inhomogeneous inlets
journal, January 2017
- Kleinheinz, Konstantin; Kubis, Thomas; Trisjono, Philipp
- Proceedings of the Combustion Institute, Vol. 36, Issue 2
The Earth Mover's Distance: Lower Bounds and Invariance Under Translation
report, October 1997
- Cohen, Scott; Guibas, Leonidas
A two mixture fraction flamelet model for large eddy simulation of turbulent flames with inhomogeneous inlets
journal, January 2017
- Perry, Bruce A.; Mueller, Michael E.; Masri, Assaad R.
- Proceedings of the Combustion Institute, Vol. 36, Issue 2
Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model
journal, October 2008
- Ihme, Matthias; Pitsch, Heinz
- Combustion and Flame, Vol. 155, Issue 1-2
On the rate of convergence in Wasserstein distance of the empirical measure
journal, October 2014
- Fournier, Nicolas; Guillin, Arnaud
- Probability Theory and Related Fields, Vol. 162, Issue 3-4
Wasserstein distances in the analysis of time series and dynamical systems
journal, January 2011
- Muskulus, Michael; Verduyn-Lunel, Sjoerd
- Physica D: Nonlinear Phenomena, Vol. 240, Issue 1
On nondifferentiable functions and the bootstrap
journal, March 1993
- D�mbgen, Lutz
- Probability Theory and Related Fields, Vol. 95, Issue 1
Large-Eddy Simulation of Realistic Gas Turbine Combustors
journal, April 2006
- Moin, P.; Apte, S. V.
- AIAA Journal, Vol. 44, Issue 4
LES flamelet modeling of a three-stream MILD combustor: Analysis of flame sensitivity to scalar inflow conditions
journal, January 2011
- Ihme, Matthias; See, Yee Chee
- Proceedings of the Combustion Institute, Vol. 33, Issue 1
A unified view of pilot stabilized turbulent jet flames for model assessment across different combustion regimes
journal, January 2017
- Wang, Haifeng; Zhang, Pei
- Proceedings of the Combustion Institute, Vol. 36, Issue 2
Nonparametric Maximum Likelihood Estimation of a Mixing Distribution
journal, December 1978
- Laird, Nan
- Journal of the American Statistical Association, Vol. 73, Issue 364
Some Comments on the Evaluation of Model Performance
journal, November 1982
- Willmott, Cort J.
- Bulletin of the American Meteorological Society, Vol. 63, Issue 11
A Linear Time Histogram Metric for Improved SIFT Matching
book, January 2008
- Pele, Ofir; Werman, Michael
- Lecture Notes in Computer Science
Note on the generation of most probable frequency distributions
journal, March 1972
- Lisman, J. H. C.; Zuylen, M. C. A. van
- Statistica Neerlandica, Vol. 26, Issue 1
Thermocouples and sample probes for combustion studies
journal, January 1993
- Heitor, M. V.; Moreira, A. L. N.
- Progress in Energy and Combustion Science, Vol. 19, Issue 3
The Hungarian method for the assignment problem
journal, March 1955
- Kuhn, H. W.
- Naval Research Logistics Quarterly, Vol. 2, Issue 1-2, p. 83-97
Error analysis of large-eddy simulation of the turbulent non-premixed sydney bluff-body flame
journal, December 2011
- Kempf, A. M.; Geurts, B. J.; Oefelein, J. C.
- Combustion and Flame, Vol. 158, Issue 12
Piloted methane/air jet flames: Transport effects and aspects of scalar structure
journal, December 2005
- Barlow, R.; Frank, J.; Karpetis, A.
- Combustion and Flame, Vol. 143, Issue 4
Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model
journal, October 2008
- Ihme, Matthias; Pitsch, Heinz
- Combustion and Flame, Vol. 155, Issue 1-2
An Optimal Transport Approach to Robust Reconstruction and Simplification of 2D Shapes
journal, August 2011
- de Goes, Fernando; Cohen-Steiner, David; Alliez, Pierre
- Computer Graphics Forum, Vol. 30, Issue 5
A subgrid model for equilibrium chemistry in turbulent flows
journal, August 1994
- Cook, Andrew W.; Riley, James J.
- Physics of Fluids, Vol. 6, Issue 8
On a Problem of Monge
journal, March 2006
- Kantorovich, L. V.
- Journal of Mathematical Sciences, Vol. 133, Issue 4
Fuel effects on lean blow-out in a realistic gas turbine combustor
journal, July 2017
- Esclapez, Lucas; Ma, Peter C.; Mayhew, Eric
- Combustion and Flame, Vol. 181
Prediction of local extinction and re-ignition effects in non-premixed turbulent combustion using a flamelet/progress variable approach
journal, January 2005
- Ihme, Matthias; Cha, Chong M.; Pitsch, Heinz
- Proceedings of the Combustion Institute, Vol. 30, Issue 1
Stabilization of piloted turbulent flames with inhomogeneous inlets
journal, January 2015
- Meares, S.; Prasad, V. N.; Magnotti, G.
- Proceedings of the Combustion Institute, Vol. 35, Issue 2
Mean rates of convergence of empirical measures in the Wasserstein metric
journal, November 1994
- Horowitz, Joseph; Karandikar, Rajeeva L.
- Journal of Computational and Applied Mathematics, Vol. 55, Issue 3
Local extinction and near-field structure in piloted turbulent CH4/air jet flames with inhomogeneous inlets
journal, October 2015
- Barlow, R. S.; Meares, S.; Magnotti, G.
- Combustion and Flame, Vol. 162, Issue 10
Uncertainty quantification in LES of a turbulent bluff-body stabilized flame
journal, January 2015
- Khalil, Mohammad; Lacaze, Guilhem; Oefelein, Joseph C.
- Proceedings of the Combustion Institute, Vol. 35, Issue 2
Regularized deconvolution method for turbulent combustion modeling
journal, February 2017
- Wang, Qing; Ihme, Matthias
- Combustion and Flame, Vol. 176
Visualization and understanding of combustion processes using spatially and temporally resolved laser diagnostic techniques
journal, January 2011
- Aldén, Marcus; Bood, Joakim; Li, Zhongshan
- Proceedings of the Combustion Institute, Vol. 33, Issue 1
Compliance of combustion models for turbulent reacting flow simulations
journal, December 2016
- Wu, Hao; Ihme, Matthias
- Fuel, Vol. 186
A modified piloted burner for stabilizing turbulent flames of inhomogeneous mixtures
journal, February 2014
- Meares, Shaun; Masri, Assaad R.
- Combustion and Flame, Vol. 161, Issue 2
Large eddy simulation of turbulent combustion by a dynamic second-order moment closure model
journal, January 2017
- Luo, Kun; Yang, Jianshan; Bai, Yun
- Fuel, Vol. 187
On Choosing and Bounding Probability Metrics
journal, December 2002
- Gibbs, Alison L.; Su, Francis Edward
- International Statistical Review, Vol. 70, Issue 3
Large-eddy simulation of a piloted premixed jet burner
journal, December 2013
- Chen, Yuntao; Ihme, Matthias
- Combustion and Flame, Vol. 160, Issue 12
A Rational Method of Determining Probability Distributions in Turbulent Reacting Flows
journal, January 1979
- Pope, S. B.
- Journal of Non-Equilibrium Thermodynamics, Vol. 4, Issue 5
Combustion at the focus: laser diagnostics and control
journal, January 2005
- Kohse-Höinghaus, Katharina; Barlow, Robert S.; Aldén, Marcus
- Proceedings of the Combustion Institute, Vol. 30, Issue 1
Optimal Mass Transport for Shape Matching and Comparison
journal, November 2015
- Su, Zhengyu; Wang, Yalin; Shi, Rui
- IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 37, Issue 11
Empirical Bayes deconvolution estimates
journal, February 2016
- Efron, Bradley
- Biometrika, Vol. 103, Issue 1
Compliance of combustion models for turbulent reacting flow simulations
journal, December 2016
- Wu, Hao; Ihme, Matthias
- Fuel, Vol. 186
The Earth Mover's Distance as a Metric for Image Retrieval
journal, November 2000
- Rubner, Yossi
- International Journal of Computer Vision, Vol. 40, Issue 2, p. 99-121
Large Eddy Simulations and experimental studies of turbulent premixed combustion near extinction
journal, January 2013
- Wang, P.; Zieker, F.; Schießl, R.
- Proceedings of the Combustion Institute, Vol. 34, Issue 1
Laminar diffusion flamelet models in non-premixed turbulent combustion
journal, January 1984
- Peters, N.
- Progress in Energy and Combustion Science, Vol. 10, Issue 3
A Pareto-efficient combustion framework with submodel assignment for predicting complex flame configurations
journal, November 2015
- Wu, Hao; See, Yee Chee; Wang, Qing
- Combustion and Flame, Vol. 162, Issue 11
Numerical analysis of the Cambridge stratified flame series using artificial thickened flame LES with tabulated premixed flame chemistry
journal, October 2014
- Proch, Fabian; Kempf, Andreas M.
- Combustion and Flame, Vol. 161, Issue 10
Inference for Empirical Wasserstein Distances on Finite Spaces
journal, May 2017
- Sommerfeld, Max; Munk, Axel
- Journal of the Royal Statistical Society Series B: Statistical Methodology, Vol. 80, Issue 1
Works referencing / citing this record:
Nonadiabatic Flamelet Formulation for Predicting Wall Heat Transfer in Rocket Engines
journal, June 2018
- Ma, Peter C.; Wu, Hao; Ihme, Matthias
- AIAA Journal, Vol. 56, Issue 6
Efficient time stepping for reactive turbulent simulations with stiff chemistry
conference, January 2018
- Wu, Hao; Ma, Peter C.; Ihme, Matthias
- 2018 AIAA Aerospace Sciences Meeting, 2018 AIAA Aerospace Sciences Meeting
Requirements Towards Predictive Simulations of Turbulent Reacting Flows
preprint, January 2020
- Ihme, Matthias
- arXiv