Fast equivalent operational model of tropospheric alkane photochemistry

S. W. Wang, S. Balakrishnan, P. Georgopoulos

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


A mathematical "kinetic lumping" approach, the direct constrained approximate lumping (DCAL) method, for developing a condensed chemical mechanism of complex tropospheric alkane photochemistry was presented in previous work. In the present work, the high dimensional model representation (HDMR) method is applied to further accelerate the chemical kinetic calculations of the Alkane/DCAL mechanism from our previous work. An efficient HDMR is based on expressing a chemical species concentration at a given reaction time as an expansion of correlated functions consisting of the initial chemical species concentrations. An HDMR expansion calculates efficiently the output species concentrations at any given reaction time, employing very rapid and stable algebraic manipulations. The HDMR estimates are shown to be almost identical to those derived from solving the full tropospheric alkane photochemistry through conventional (for example, Gear-type) chemistry solvers over wide ranges of initial conditions, while being more than 1,000 times faster.

Original languageEnglish (US)
Pages (from-to)1297-1303
Number of pages7
JournalAIChE Journal
Issue number4
StatePublished - Apr 2005

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Environmental Engineering
  • Chemical Engineering(all)


  • Atmospheric chemistry mechanisms
  • High dimensional model representation
  • Kinetic mechanism reduction


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