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Mathematical and numerical aspects of one-dimensional laminar flame simulation

Mathematical and numerical aspects of one-dimensional laminar flame simulation The aim of this paper is to solve several mathematical and numerical questions related to the simulation of stationary and nonstationary premixed flat flames. Most of the results are obtained in the general context of complex chemical and diffusion mechanisms. The main mathematical results concern: (i) thea priori positivity of the mass fractions, and (ii) the sensitivity of the flame speed to the computational domain. The numerical method proposed for solving the stationary problem is a new combination of the pseudo-nonstationary approach, the Newton iterations, and the adaptive gridding. The computation of H2-O2-N2 flames with various initial concentrations (including the chemical extinction zone) shows the efficiency of this method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Mathematical and numerical aspects of one-dimensional laminar flame simulation

Applied Mathematics and Optimization , Volume 14 (1) – Mar 23, 2005

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References (57)

Publisher
Springer Journals
Copyright
Copyright © 1986 by Springer-Verlag New York Inc.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01442232
Publisher site
See Article on Publisher Site

Abstract

The aim of this paper is to solve several mathematical and numerical questions related to the simulation of stationary and nonstationary premixed flat flames. Most of the results are obtained in the general context of complex chemical and diffusion mechanisms. The main mathematical results concern: (i) thea priori positivity of the mass fractions, and (ii) the sensitivity of the flame speed to the computational domain. The numerical method proposed for solving the stationary problem is a new combination of the pseudo-nonstationary approach, the Newton iterations, and the adaptive gridding. The computation of H2-O2-N2 flames with various initial concentrations (including the chemical extinction zone) shows the efficiency of this method.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Mar 23, 2005

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