Linear stability analysis of detonations via numerical computation and dynamic mode decomposition
Type
ArticleAuthors
Kabanov, Dmitry
Kasimov, Aslan R.
KAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Earth Science and Engineering Program
Date
2018-03-20Preprint Posting Date
2017-12-08Online Publication Date
2018-03-20Print Publication Date
2018-03Permanent link to this record
http://hdl.handle.net/10754/626509Metadata
Show full item recordAbstract
We introduce a new method to investigate linear stability of gaseous detonations that is based on an accurate shock-fitting numerical integration of the linearized reactive Euler equations with a subsequent analysis of the computed solution via the dynamic mode decomposition. The method is applied to the detonation models based on both the standard one-step Arrhenius kinetics and two-step exothermic-endothermic reaction kinetics. Stability spectra for all cases are computed and analyzed. The new approach is shown to be a viable alternative to the traditional normal-mode analysis used in detonation theory.Citation
Kabanov DI, Kasimov AR (2018) Linear stability analysis of detonations via numerical computation and dynamic mode decomposition. Physics of Fluids 30: 036103. Available: http://dx.doi.org/10.1063/1.5020558.Sponsors
This work was partially supported by the King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia. For computer time, this work used the resources of the Supercomputing Laboratory at KAUST. A.R.K. was also partially supported by the Russian Foundation for Basic Research (Grant No. #17-53-12018).Publisher
AIP PublishingJournal
Physics of FluidsarXiv
arXiv:1712.03276Additional Links
http://arxiv.org/abs/1712.03276v1http://arxiv.org/pdf/1712.03276v1
https://aip.scitation.org/doi/10.1063/1.5020558