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Title: Lyapunov exponent as a metric for assessing the dynamic content and predictability of large-eddy simulations

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Publisher's Accepted Manuscript
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Physical Review Fluids
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Journal Name: Physical Review Fluids Journal Volume: 2 Journal Issue: 9; Journal ID: ISSN 2469-990X
American Physical Society
Country of Publication:
United States

Citation Formats

Nastac, Gabriel, Labahn, Jeffrey W., Magri, Luca, and Ihme, Matthias. Lyapunov exponent as a metric for assessing the dynamic content and predictability of large-eddy simulations. United States: N. p., 2017. Web. doi:10.1103/PhysRevFluids.2.094606.
Nastac, Gabriel, Labahn, Jeffrey W., Magri, Luca, & Ihme, Matthias. Lyapunov exponent as a metric for assessing the dynamic content and predictability of large-eddy simulations. United States. doi:10.1103/PhysRevFluids.2.094606.
Nastac, Gabriel, Labahn, Jeffrey W., Magri, Luca, and Ihme, Matthias. Thu . "Lyapunov exponent as a metric for assessing the dynamic content and predictability of large-eddy simulations". United States. doi:10.1103/PhysRevFluids.2.094606.
title = {Lyapunov exponent as a metric for assessing the dynamic content and predictability of large-eddy simulations},
author = {Nastac, Gabriel and Labahn, Jeffrey W. and Magri, Luca and Ihme, Matthias},
abstractNote = {},
doi = {10.1103/PhysRevFluids.2.094606},
journal = {Physical Review Fluids},
number = 9,
volume = 2,
place = {United States},
year = {2017},
month = {9}

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DOI: 10.1103/PhysRevFluids.2.094606

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Works referenced in this record:

Eulerian – Eulerian Large Eddy Simulations Applied to Non-Reactive Transient Diesel Sprays
journal, November 2013

  • Robert, Anthony; Martinez, Lionel; Tillou, Julien
  • Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles, Vol. 69, Issue 1
  • DOI: 10.2516/ogst/2013140

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
  • DOI: 10.1016/j.proci.2004.08.260

The dimension of attractors underlying periodic turbulent Poiseuille flow
journal, September 1992

Predictability in systems with many characteristic times: The case of turbulence
journal, March 1996

A dynamic model for subgrid-scale variance and dissipation rate of a conserved scalar
journal, December 1998

  • Pierce, Charles D.; Moin, Parviz
  • Physics of Fluids, Vol. 10, Issue 12
  • DOI: 10.1063/1.869832

Ten questions concerning the large-eddy simulation of turbulent flows
journal, January 2004

Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion
journal, January 1999

Effects of heat release and buoyancy on flow structure and entrainment in turbulent nonpremixed flames
journal, July 2001

Predictability in spatially extended systems
journal, July 1994

Application of spontaneous Raman and Rayleigh scattering and 2D LIF for the characterization of a turbulent CH 4 /H 2 /N 2 jet diffusion flame
journal, April 1998

  • Bergmann, V.; Meier, W.; Wolff, D.
  • Applied Physics B: Lasers and Optics, Vol. 66, Issue 4
  • DOI: 10.1007/s003400050424

Convex Error Growth Patterns in a Global Weather Model
journal, June 2005

Flow field measurements of stable and locally extinguishing hydrocarbon-fuelled jet flames
journal, October 2003

Turbulence Resolution Scale Dependence in Large-Eddy Simulations of a Jet Flame
journal, December 2011

  • Kemenov, Konstantin A.; Wang, Haifeng; Pope, Stephen B.
  • Flow, Turbulence and Combustion, Vol. 88, Issue 4
  • DOI: 10.1007/s10494-011-9380-x

Predictability: a way to characterize complexity
journal, January 2002

A framework for predicting accuracy limitations in large-eddy simulation
journal, June 2002

  • Geurts, Bernard J.; Fröhlich, Jochen
  • Physics of Fluids, Vol. 14, Issue 6
  • DOI: 10.1063/1.1480830

Ergodic theory of differentiable dynamical systems
journal, December 1979

  • Ruelle, David
  • Publications mathématiques de l'IHÉS, Vol. 50, Issue 1
  • DOI: 10.1007/BF02684768

A dynamic subgrid‐scale eddy viscosity model
journal, July 1991

  • Germano, Massimo; Piomelli, Ugo; Moin, Parviz
  • Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 7
  • DOI: 10.1063/1.857955

A dynamic global-coefficient subgrid-scale eddy-viscosity model for large-eddy simulation in complex geometries
journal, June 2007

  • You, Donghyun; Moin, Parviz
  • Physics of Fluids, Vol. 19, Issue 6
  • DOI: 10.1063/1.2739419

Fully Developed Turbulence and Intermittency
journal, December 1980

Large eddy simulation of a partially-premixed gas turbine model combustor
journal, January 2015

Irregular combustion in supercharged spark ignition engines – pre-ignition and other phenomena
journal, December 2010

  • Dahnz, C.; Spicher, U.
  • International Journal of Engine Research, Vol. 11, Issue 6
  • DOI: 10.1243/14680874JER609

Quantitative model-based imaging of mid-infrared radiation from a turbulent nonpremixed jet flame and plume
journal, April 2015

Large-deviation joint statistics of the finite-time Lyapunov spectrum in isotropic turbulence
journal, August 2015

  • Johnson, Perry L.; Meneveau, Charles
  • Physics of Fluids, Vol. 27, Issue 8
  • DOI: 10.1063/1.4928699

Radiation of noise in turbulent non-premixed flames
journal, January 2009

  • Ihme, Matthias; Pitsch, Heinz; Bodony, Daniel
  • Proceedings of the Combustion Institute, Vol. 32, Issue 1
  • DOI: 10.1016/j.proci.2008.06.137

The dimension of chaotic attractors
journal, May 1983

On the effect of heat release in turbulence spectra of non-premixed reacting shear layers
journal, May 2009

Forcing for statistically stationary compressible isotropic turbulence
journal, November 2010

  • Petersen, Mark R.; Livescu, Daniel
  • Physics of Fluids, Vol. 22, Issue 11
  • DOI: 10.1063/1.3488793

A practical method for calculating largest Lyapunov exponents from small data sets
journal, May 1993

  • Rosenstein, Michael T.; Collins, James J.; De Luca, Carlo J.
  • Physica D: Nonlinear Phenomena, Vol. 65, Issue 1-2
  • DOI: 10.1016/0167-2789(93)90009-P

Index of Resolution Quality for Large Eddy Simulations
journal, September 2005

  • Celik, I. B.; Cehreli, Z. N.; Yavuz, I.
  • Journal of Fluids Engineering, Vol. 127, Issue 5
  • DOI: 10.1115/1.1990201

Quality assessment of Large-Eddy Simulation of wind flow around a high-rise building: Validation and solution verification
journal, June 2013

Predictability in the large: an extension of the concept of Lyapunov exponent
journal, January 1997

  • Aurell, E.; Boffetta, G.; Crisanti, A.
  • Journal of Physics A: Mathematical and General, Vol. 30, Issue 1
  • DOI: 10.1088/0305-4470/30/1/003

Planar imaging of CH, OH, and velocity in turbulent non-premixed jet flames
journal, January 2002

An examination of forcing in direct numerical simulations of turbulence
journal, January 1988

Image-based large-eddy simulation in a realistic left heart
journal, May 2014

Effects of turbulence on species mass fractions in methane/air jet flames
journal, January 1998

Scalar energy fluctuations in Large-Eddy Simulation of turbulent flames: Statistical budgets and mesh quality criterion
journal, April 2010

Stability and Lyapunov stability of dynamical systems: A differential approach and a numerical method
journal, August 1987

  • Goldhirsch, Isaac; Sulem, Pierre-Louis; Orszag, Steven A.
  • Physica D: Nonlinear Phenomena, Vol. 27, Issue 3
  • DOI: 10.1016/0167-2789(87)90034-0

Growth of Noninfinitesimal Perturbations in Turbulence
journal, August 1996

Predictability of Turbulent Flows
journal, September 1972

Ergodic theory of chaos and strange attractors
journal, July 1985

Intermittency and predictability in turbulence
journal, January 1993

Error Growth in a Decaying Two-Dimensional Turbulence
journal, January 1990

  • Kida, Shigeo; Yamada, Michio; Ohkitani, Koji
  • Journal of the Physical Society of Japan, Vol. 59, Issue 1
  • DOI: 10.1143/JPSJ.59.90

Atmospheric Predictability as Revealed by Naturally Occurring Analogues
journal, July 1969

Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model
journal, October 2008

Linear forcing in numerical simulations of isotropic turbulence: Physical space implementations and convergence properties
journal, September 2005

  • Rosales, Carlos; Meneveau, Charles
  • Physics of Fluids, Vol. 17, Issue 9
  • DOI: 10.1063/1.2047568