Sensitivity analysis of one-dimensional mixed initial-boundary value problems: Application to freely propagating premixed laminar flames

Y. Reuven, M. D. Smooke, H. Rabitz

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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 languageEnglish (US)
Pages (from-to)345-370
Number of pages26
JournalJournal of Scientific Computing
Volume2
Issue number4
DOIs
StatePublished - 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

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