Classification of ignition regimes in HCCI combustion using computational singular perturbation

Saurabh Gupta, Hong G. Im, Mauro Valorani

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


The computational singular perturbation (CSP) technique is applied as an automated diagnostic tool to classify ignition regimes encountered in homogeneous charge compression ignition (HCCI) engines. Various model problems representing HCCI combustion are simulated using high-fidelity computation with detailed chemistry for hydrogen-air system. The simulation data are then analyzed by CSP. In a homogeneous system, the occurrence of two branches of explosive eigenvalues characterizes chain-branching and thermal ignition. Their merging point serves as a good indicator of the completion of the explosive stage of ignition. However, the merging point diagnostics is insufficient to differentiate spontaneous ignition from deflagration. As an alternate method, the active reaction zones are first identified by the locus of minimum number of fast exhausted time scales (based on user-specified error thresholds). Subsequently, the relative importance of transport and chemistry is determined in the region ahead of the reaction zone. A new index IT, defined as the sum of the absolute values of the importance indices of diffusion and convection of temperature to the slow dynamics of temperature, serves as a criterion to differentiate spontaneous ignition from deflagration regimes. These diagnostic tools are applied to 1D and 2D ignition problems under laminar and turbulent mixture conditions, respectively, allowing automated detection of different ignition regimes at different times and location during the ignition events. The implication of the results in the context of modeling autoignition of nearly homogeneous turbulent mixtures is discussed.

Original languageEnglish (US)
Pages (from-to)2991-2999
Number of pages9
JournalProceedings of the Combustion Institute
Issue number2
StatePublished - 2011

Bibliographical note

Funding Information:
S.G. and H.G.I. were supported in part by the DOE Office of Basic Sciences, SciDAC Computational Chemistry Division. M.V. acknowledges the support of the Italian Ministry of University and Research (MIUR) and the US Department of Energy, Office of Basic Energy, Office of Basic Energy Sciences, SciDAC Computational Chemistry Program. The computational resources for the 2-D DNS simulations were supported in part by the National Science Foundation through TeraGrid provided by Pittsburgh Supercomputing Center. The authors would like to thank Dr. Gaurav Bansal of Center for Turbulence Research at Stanford University for providing the simulation data.


  • Computational singular perturbation
  • Deflagration
  • HCCI combustion
  • Spontaneous ignition

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Mechanical Engineering
  • Physical and Theoretical Chemistry


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