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Nonlinear dynamics of pulsating detonation wave with two-stage chemical kinetics in the shock-attached frame

  • Yaroslava E. Poroshyna EMAIL logo , Aleksander I. Lopato ORCID logo and Pavel S. Utkin ORCID logo

Abstract

The paper contributes to the clarification of the mechanism of one-dimensional pulsating detonation wave propagation for the transition regime with two-scale pulsations. For this purpose, a novel numerical algorithm has been developed for the numerical investigation of the gaseous pulsating detonation wave using the two-stage model of kinetics of chemical reactions in the shock-attached frame. The influence of grid resolution, approximation order and the type of rear boundary conditions on the solution has been studied for four main regimes of detonation wave propagation for this model. Comparison of dynamics of pulsations with results of other authors has been carried out.

MSC 2010: 65M08; 65M20; 65M25; 76L05; 76N15

Award Identifier / Grant number: MK-244.2020.1

Funding statement: The work of A. I. Lopato was supported by the Council for Grants of the President of the Russian Federation for the State Support of Young Russian Scientists (project no. MK-244.2020.1). The work of P. S. Utkin and Y. E. Poroshyna was carried out under the state task of the ICAD RAS.

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Received: 2020-03-14
Revised: 2020-10-30
Accepted: 2020-11-05
Published Online: 2020-12-22
Published in Print: 2021-08-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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