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Monofractal and multifractal analysis of simulated heat release fluctuations in a spark ignition heat engine

Author

Listed:
  • Curto-Risso, P.L.
  • Medina, A.
  • Calvo Hernández, A.
  • Guzmán-Vargas, L.
  • Angulo-Brown, F.

Abstract

We study data from cycle-by-cycle variations in heat release for a simulated spark-ignited engine. Our analyses are based on nonlinear scaling properties of heat release fluctuations obtained from a turbulent combustion model. We apply monofractal and multifractal methods to characterize the fluctuations for several fuel–air ratio values, ϕ, from lean mixtures to stoichiometric situations. The monofractal approach reveals that, for lean and stoichiometric conditions, the fluctuations are characterized by the presence of weak anticorrelations, whereas for intermediate mixtures we observe complex dynamics characterized by a crossover in the scaling exponents: for short scales, the variations display positive correlations while for large scales the fluctuations are close to white noise. Moreover, a broad multifractal spectrum is observed for intermediate fuel ratio values, while for low and high ϕ the fluctuations lead to a narrow spectrum. Finally, we explore the origin of correlations by using the surrogate data method to compare the findings of multifractality and scaling exponents between original simulated and randomized data.

Suggested Citation

  • Curto-Risso, P.L. & Medina, A. & Calvo Hernández, A. & Guzmán-Vargas, L. & Angulo-Brown, F., 2010. "Monofractal and multifractal analysis of simulated heat release fluctuations in a spark ignition heat engine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5662-5670.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:24:p:5662-5670
    DOI: 10.1016/j.physa.2010.08.024
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    Cited by:

    1. Curto-Risso, P.L. & Medina, A. & Calvo Hernández, A. & Guzmán-Vargas, L. & Angulo-Brown, F., 2011. "On cycle-to-cycle heat release variations in a simulated spark ignition heat engine," Applied Energy, Elsevier, vol. 88(5), pages 1557-1567, May.
    2. Israel Reyes-Ramírez & Santiago D. Martínez-Boggio & Pedro L. Curto-Risso & Alejandro Medina & Antonio Calvo Hernández & Lev Guzmán-Vargas, 2018. "Symbolic Analysis of the Cycle-to-Cycle Variability of a Gasoline–Hydrogen Fueled Spark Engine Model," Energies, MDPI, vol. 11(4), pages 1-19, April.

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