Estimating temperature and gas concentrations in propellant flames using metamodeling and global optimization

We propose a methodology combining polynomial metamodeling and global optimization for estimating temperature and gas concentrations in propellant flames from moderate-resolution spectroradiometer measurements. We retrieve seven parameters: temperature, soot absorbance, concentrations of CO2 , H2O, CO, and HCl and the projected source area, and we estimate a Cramér-Rao Lower Bound, which provides a reliable estimate of the minimal achievable error. We propose two sampling-based methods for optimization that give parameter estimation close to this bound. Our methodology is validated on representative synthetic cases and one experimental measurement, showing promising results for most parameters. A more complex retrieval method is discussed in the outlook section.

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Publication Details

Journal
Applied Mathematics in Science and Engineering
Published
2026-06-09
DOI
https://doi.org/10.1080/27690911.2026.2680753
Primary Topic
Energetic Materials and Combustion
Type
article
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article

Estimating temperature and gas concentrations in propellant flames using metamodeling and global optimization

Claire Lavigne, Sidonie Lefèbvre, Christian Musso, Sylvain Rommeluère
Applied Mathematics in Science and Engineering
Energetic Materials and Combustion
article

Estimating temperature and gas concentrations in propellant flames using metamodeling and global optimization

Claire Lavigne, Sidonie Lefèbvre, Christian Musso, Sylvain Rommeluère
article en

Abstract

We propose a methodology combining polynomial metamodeling and global optimization for estimating temperature and gas concentrations in propellant flames from moderate-resolution spectroradiometer measurements. We retrieve seven parameters: temperature, soot absorbance, concentrations of CO2 , H2O, CO, and HCl and the projected source area, and we estimate a Cramér-Rao Lower Bound, which provides a reliable estimate of the minimal achievable error. We propose two sampling-based methods for optimization that give parameter estimation close to this bound. Our methodology is validated on representative synthetic cases and one experimental measurement, showing promising results for most parameters. A more complex retrieval method is discussed in the outlook section.

Applied Mathematics in Science and EngineeringVol. 34(1)
Université Paris-Saclay (FR)
Affordable and clean energy
Openalex Percentile: Top 11%
Energetic Materials and Combustion
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