Uncertainty quantification in chemical systems

H. N. Najm, B. J. Debusschere, Y. M. Marzouk, S. Widmer, Olivier Le Maitre

Research output: Contribution to journalArticlepeer-review

86 Scopus citations

Abstract

We demonstrate the use of multiwavelet spectral polynomial chaos techniques for uncertainty quantification in non-isothermal ignition of a methane-air system. We employ Bayesian inference for identifying the probabilistic representation of the uncertain parameters and propagate this uncertainty through the ignition process. We analyze the time evolution of moments and probability density functions of the solution. We also examine the role and significance of dependence among the uncertain parameters. We finish with a discussion of the role of non-linearity and the performance of the algorithm.

Original languageEnglish (US)
Pages (from-to)789-814
Number of pages26
JournalInternational Journal for Numerical Methods in Engineering
Volume80
Issue number6-7
DOIs
StatePublished - Nov 2 2009

Keywords

  • Chemistry
  • Ignition
  • Multiwavelet
  • Polynomial chaos
  • Uncertainty quantification

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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