2007
DOI: 10.1016/s0069-8040(07)42006-4
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Chapter 6 Optimization of Reaction Models with Solution Mapping

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Cited by 28 publications
(29 citation statements)
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“…A system of four and five coupled differential equations was numerically solved (Frenklach et al 1992(Frenklach et al , 2007 for the respective pathways A and B, resulting in the corresponding set of rate constants derived (Table 3).…”
Section: Reaction Mechanismsmentioning
confidence: 99%
“…A system of four and five coupled differential equations was numerically solved (Frenklach et al 1992(Frenklach et al , 2007 for the respective pathways A and B, resulting in the corresponding set of rate constants derived (Table 3).…”
Section: Reaction Mechanismsmentioning
confidence: 99%
“…For reaction O + OH + M → HO 2 + M, we took the value from Saxena and Williams [40] and uncertainty bounds from Burke et al [41], who showed that this reaction impacted significantly the mass burning rate of lean high-pressure hydrogen flames. In the present study, variables are defined as the normalized forms of rate preexponential factors, as multipliers to the overall rate coefficients (see the description and equations in Appendix A of [5] and [12]). …”
Section: Kinetic Model Of Hydrogen Combustionmentioning
confidence: 99%
“…The one on the left shows ranked sensitivity coefficients, displayed also as a list on the left panel of the figure. The second bar chart shows corresponding impact factors, computed as a product of the absolute value of sensitivity coefficient and the corresponding span; the latter being the square root of the ratio of the upper and lower bounds of the reaction rate-coefficient preexponential factors, listed in the left panel of the figure (further details of this definition can be found in [5] and [12]). The surrogate models are built on the fly, similar to the sensitivity analysis, by performing a series of computational runs according to a design matrix.…”
Section: Creation Of a Datasetmentioning
confidence: 99%
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“…Further analysis of the origin of such ''controversies'' can be found in Refs. [40,53,54] and examples of feasible sets encountered in combustion kinetics in Refs. [47,53,[55][56][57].…”
Section: Artificial Controversiesmentioning
confidence: 99%