Lumped Model Generation and Evaluation: Sensitivity and Lie Algebraic Techniques with Applications to Combustion
Abstract
This program dealt with the development and application of new approaches for producing and evaluating lumped parameter models of physical processes. Local and global sensitivity analysis procedures were studied for achieving this goal. Specifically, Lie group formalism was developed to address global parameter space mapping issues of temporal kinetics problems and extended to more complex reactive-diffusive problems. Furthermore, Lie group theoretical techniques were also used to gain analytic insight into the solution of nonlinear kinetic systems. Using local gradient methods, the lumpability (or model reduction) of hydrogen/oxygen and carbon monoxide/hydrogen/oxygen kinetic mechanisms were studied in various physical environments. It was found that the presence of strong scaling and self similarity in the sensitivities allowed for kinetic model simplification. Such scaling and similarity was found associated with strong thermal coupling in the systems. Lastly, a general analysis method for the exact lumping of chemical kinetic mechanisms was developed and illustrated by simple.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1987
- Accession Number
- ADA190402
Entities
People
- F. L. Dryer
- H. Rabitz
- R. Yetter
Organizations
- Princeton University