Modelling of propagation of strong perturbations in gas of arbitrary rarefaction

The work discusses the numerical solution of the kinetic Boltzmann equation using the discrete velocity method and the MUSCL method with the Berger gradient slope limiter, which allows to eliminate the unphysical fluctuations associated with sharp and sudden changes in the found values near the shock front. The aim of the article is to study the changes in the temperature and density fields under strong perturbations obtained by solving the problem of modelling the decay of an initially given discontinuity of macroparameters of a resting gas of arbitrary rarefaction in a Soda shock tube, which is the simplest device for obtaining and studying short-lived supersonic flows, i.e. shock waves. The obtained distributions of gas macroparameters were correlated with theoretical values and analysed. The calculated coefficient of determination confirmed the quantitative coincidence of the constructed mathematical model with the theory.