Sergey S. Khrapov. Numerical modeling of shock waves in a nonequilibrium reactive gas
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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
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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
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