Linear stability analysis of detonations via numerical computation and dynamic mode decomposition
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Applied Mathematics and Computational Science Program
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AbstractWe 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.
CitationKabanov 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.
SponsorsThis 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).
JournalPhysics of Fluids