Sergey S. Khrapov. Numerical modeling of shock waves in a nonequilibrium reactive gas
- Details
- Hits: 110
https://doi.org/10.15688/mpcm.jvolsu.2024.1.6
Sergey S. Khrapov
Candidate of Sciences (Physics and Mathematics), Associate Professor, Department of Information Systems and Computing Modeling,
Volgograd State University
This email address is being protected from spambots. You need JavaScript enabled to view it.
,
Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Abstract. The nonlinear dynamics of unstable sound waves in a nonequilibrium vibrationally excited gas is considered, taking into account viscosity, thermal conductivity, chemical reactions and arbitrary dependences of the relaxation time, heating and cooling functions on density and temperature. A numerical model has been constructed and a software package has been developed, based on the gas-dynamic methods of end-to-end calculation CSPH-TVD/MUSCL, to study the linear and nonlinear stages of the development of acoustic instability in a nonequilibrium chemically active gas with different models of relaxation, heating and cooling times. The numerical model has high spatial resolution and second order accuracy. The influence of chemical activity in a nonequilibrium vibrationally excited gas on the nonlinear dynamics of acoustic instability has been studied. It is shown that taking into account chemical reactions in a nonequilibrium gas leads to an increase in acoustic instability and, as a result, at the final nonlinear stage, shock wave pulses of higher intensity and with a larger spatial scale are formed. The structure and stability of shock waves (SW) of various intensities have been studied. It is shown that shock waves in a nonequilibrium vibrationally excited gas turn out to be unstable, i.e. SW the shock front, unstable disturbances are generated, the amplitude of which increases over time, reaching nonlinear saturation
Key words: nonequilibrium gas, vibrational relaxation, chemical reactions, shock waves, CSPH-TVD numerical method, nonlinear acoustic equation.
Numerical modeling of shock waves in a nonequilibrium reactive gas by Khrapov S.S., is licensed under a Creative Commons Attribution 4.0 International License.
Citation in English: Mathematical Physics and Computer Simulation. Vol. 27 No. 1 2024, pp. 86-96
 KhrapovS.pdfURL: https://mp.jvolsu.com/index.php/en/component/attachments/download/1175 | 45 Downloads |