Lumped Model Generation and Evaluation: Sensitivity and Lie Algebraic Techniques with Applications to Combustion
Annual technical rept. 1 Sep 1986-1 Oct 1987
PRINCETON UNIV NJ DEPT OF MECHANICAL AND AEROSPACE ENGINEERING
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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 hydrogenoxygen and carbon monoxidehydrogenoxygen 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.
- Physical Chemistry
- Operations Research