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.
Authors
- Claire Lavigne (ORCID: https://orcid.org/0000-0003-2869-5177)
- Sidonie Lefèbvre (ORCID: https://orcid.org/0000-0002-8332-972X)
- Christian Musso
- Sylvain Rommeluère
Institutions
- Université Paris-Saclay (FR)
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
- Field-Weighted Citation Impact
- 0.00