Chapter 8
Some Aspects on Pulsating Detonation
Wave Numerical Simulation Using
Detailed Chemical Kinetics Mechanism
Alexander I. Lopato
Abstract The chapter is dedicated to the numerical study of pulsating gaseous detonation wave propagation. The mathematical model is based on the Euler equations
written for the multicomponent gas and supplemented by the detailed chemical reactions model to describe the combustion of the hydrogen–air mixture. The Petersen
and Hanson kinetics is applied as the detailed chemical model. The numerical algorithm is based on the finite volume approach, essentially non-oscillatory scheme,
AUSM numerical flux and the Runge–Kutta method. The numerical investigation
of pulsating detonation wave propagation with direct detonation initiation near the
closed end of the channel is carried out. The peculiarities of high-frequency and
high-amplitude pulsations modes are discussed.
8.1 Introduction
Detonation wave (DW) is a supersonic complex consisting of a leading shock wave
(LSW) followed by a chemical reaction zone. Detonation is a hydrodynamic wave
process of propagation of an exothermic reaction through a substance at supersonic
speed. Among the works on the study of detonation processes in gases, there are
several directions. One of the directions includes the works on studies of detonation
propagation in terms of safety engineering in tunnels and mines, where explosions
and propagation of detonation and combustion waves are possible. Another direction
involves the works on the study of detonation initiation and interaction of DWs in
channels, stars, and other objects from the scientific point of view. As a third direction,
note the works on detonation application in industry, including pulse-detonation gas
burners and engines of the next generation, such as pulse detonation engines [1]. The
development of the direction can be explained by the fact that detonation combustion
is a thermodynamically advantageous method of fuel combustion and conversion of
A. I. Lopato (B)
Institute for Computer Aided Design of the RAS, 19/18 Vtoraya Brestskaya ul., Moscow 123056,
Russian Federation
e-mail: lopato2008@mail.ru
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
L. C. Jain et al. (eds.), Applied Mathematics and Computational Mechanics for Smart
Applications, Smart Innovation, Systems and Technologies 217,
https://doi.org/10.1007/978-981-33-4826-4_8
103
Some Aspects on Pulsating Detonation
Wave Numerical Simulation Using
Detailed Chemical Kinetics Mechanism
Alexander I. Lopato
Abstract The chapter is dedicated to the numerical study of pulsating gaseous detonation wave propagation. The mathematical model is based on the Euler equations
written for the multicomponent gas and supplemented by the detailed chemical reactions model to describe the combustion of the hydrogen–air mixture. The Petersen
and Hanson kinetics is applied as the detailed chemical model. The numerical algorithm is based on the finite volume approach, essentially non-oscillatory scheme,
AUSM numerical flux and the Runge–Kutta method. The numerical investigation
of pulsating detonation wave propagation with direct detonation initiation near the
closed end of the channel is carried out. The peculiarities of high-frequency and
high-amplitude pulsations modes are discussed.
8.1 Introduction
Detonation wave (DW) is a supersonic complex consisting of a leading shock wave
(LSW) followed by a chemical reaction zone. Detonation is a hydrodynamic wave
process of propagation of an exothermic reaction through a substance at supersonic
speed. Among the works on the study of detonation processes in gases, there are
several directions. One of the directions includes the works on studies of detonation
propagation in terms of safety engineering in tunnels and mines, where explosions
and propagation of detonation and combustion waves are possible. Another direction
involves the works on the study of detonation initiation and interaction of DWs in
channels, stars, and other objects from the scientific point of view. As a third direction,
note the works on detonation application in industry, including pulse-detonation gas
burners and engines of the next generation, such as pulse detonation engines [1]. The
development of the direction can be explained by the fact that detonation combustion
is a thermodynamically advantageous method of fuel combustion and conversion of
A. I. Lopato (B)
Institute for Computer Aided Design of the RAS, 19/18 Vtoraya Brestskaya ul., Moscow 123056,
Russian Federation
e-mail: lopato2008@mail.ru
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
L. C. Jain et al. (eds.), Applied Mathematics and Computational Mechanics for Smart
Applications, Smart Innovation, Systems and Technologies 217,
https://doi.org/10.1007/978-981-33-4826-4_8
103