{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T23:06:36Z","timestamp":1776726396477,"version":"3.51.2"},"reference-count":19,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,2,17]],"date-time":"2024-02-17T00:00:00Z","timestamp":1708128000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["22-71-00113"],"award-info":[{"award-number":["22-71-00113"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>The propagation of detonation waves (i.e., supersonic combustion waves) in non-uniform gaseous mixtures has become a matter of interest over the past several years due to the development of rotating detonation engines. It was shown in a number of recent theoretical studies of one-dimensional pulsating detonation that perturbation of the parameters in front of the detonation wave can lead to a resonant amplification of intrinsic pulsations for a certain range of perturbation wavelengths. This work is dedicated to the clarification of the mechanism of this effect. One-dimensional reactive Euler equations with single-step Arrhenius kinetics were solved. Detonation propagation in a gas with sine waves in density was simulated in a shock-attached frame of reference. We carried out a series of simulations, varying the wavelength of the disturbances. We obtained a non-linear dependence of the amplitude of these pulsations on the wavelength of disturbances with resonant amplification for a certain range of wavelengths. The gain in velocity was about 25% of the Chapman\u2013Jouguet velocity of the stable detonation wave. The effect is explained using the characteristic analysis in the x-t diagram. For the resonant case, we correlated the pulsation period with the time it takes for the C+ and C\u2212 characteristics to travel through the effective reaction zone. A similar pulsation mechanism is realized when a detonation wave propagates in a homogeneous medium.<\/jats:p>","DOI":"10.3390\/computation12020037","type":"journal-article","created":{"date-parts":[[2024,2,19]],"date-time":"2024-02-19T11:23:57Z","timestamp":1708341837000},"page":"37","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The Mechanism of Resonant Amplification of One-Dimensional Detonation Propagating in a Non-Uniform Mixture"],"prefix":"10.3390","volume":"12","author":[{"given":"Alexander","family":"Lopato","sequence":"first","affiliation":[{"name":"Institute for Computer Aided Design of the Russian Academy of Sciences, 123056 Moscow, Russia"},{"name":"Institute for Computer Science and Mathematical Modeling, I. M. Sechenov First Moscow State Medical University (Sechenov University), 119991 Moscow, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8055-178X","authenticated-orcid":false,"given":"Pavel","family":"Utkin","sequence":"additional","affiliation":[{"name":"Department of Astronautical Science and Mechanics, Harbin Institute of Technology, Harbin 150001, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Lee, J.H.S. (2008). The Detonation Phenomenon, Cambridge University Press.","DOI":"10.1017\/CBO9780511754708"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Jiang, Z., and Teng, H. (2022). 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