Abstract
A procedure for calculating sensitivity coefficients of one-dimensional parabolic mixed initial-boundary value problems is developed. The method is based upon the use of implicit time integration and Newton's method in solving the governing equations. The link between the sensitivity coefficients and the solution method is studied with particular emphasis on the use of adaptive gridding and variable time stepping. The method is employed in the analysis of two model freely propagating premixed laminar flames. The numerical accuracy of the sensitivities is verified and their values are utilized for interpretation of the model results.
Original language | English (US) |
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Pages (from-to) | 345-370 |
Number of pages | 26 |
Journal | Journal of Scientific Computing |
Volume | 2 |
Issue number | 4 |
DOIs | |
State | Published - Dec 1987 |
All Science Journal Classification (ASJC) codes
- Software
- General Engineering
- Computational Mathematics
- Theoretical Computer Science
- Applied Mathematics
- Numerical Analysis
- Computational Theory and Mathematics
Keywords
- Newton's method
- Sensitivity analysis
- adaptive gridding
- premixed laminar flames