Nonlinear Dynamics of Acoustic Instability in a Vibrationally Excited Gas: Influence of Heating and Cooling

The dynamics of unstable sound waves in a nonequilibrium vibrationally excited gas is considered, taking into account viscosity and thermal conductivity. A numerical model has been constructed and a computational tool has been developed to study the linear and nonlinear stages of the development of acoustic instability in a nonequilibrium gas with different models of relaxation, heating and cooling times. The numerical model has high spatial resolution and second order accuracy. It is shown that at the initial stage, small disturbances generated by a sound source grow exponentially in accordance with the conclusions of linear theory. At the nonlinear stage of development of acoustic instability, a sawtooth system of weak shock waves is first formed, and then, due to the interaction (merger) of shock waves, a quasi-stationary system of high-intensity shock wave pulses is formed.

nonequilibrium gas, vibrational relaxation, instability of sound waves, shock waves, numerical methods CSPH-TVD and MUSCL

Volume 24, issue 6, 2023 year

Нелинейная динамика акустической неустойчивости в колебательно-возбужденном газе: влияние нагрева и охлаждения

Рассмотрена динамика неустойчивых звуковых волн в неравновесном колебательно-возбужденном газе с учетом вязкости и теплопроводности. Построена численная модель и разработан вычислительный инструмент для исследования линейной и нелинейной стадии развития акустической неустойчивости в неравновесном газе с различными моделями времени релаксации, нагрева и охлаждения. Численная модель обладает высоким пространственным разрешением и имеет второй порядок точности. Показано, что на начальной стадии малые возмущения, генерируемые источником звука, нарастают по экспоненциальному закону в соответствии с выводами линейной теории. На нелинейной стадии развития акустической неустойчивости сначала формируется пилообразная система слабых ударных волн, а затем из-за взаимодействия (слияния) ударных волн образуется квазистационарная система ударно-волновых импульсов высокой интенсивности.

неравновесный газ, колебательная релаксация, неустойчивость звуковых волн, ударные волны, численные методы CSPH-TVD и MUSCL

Volume 24, issue 6, 2023 year

Анимация динамики акустической неустойчивости (работает только в Acrobat Reader)

3.9 MB

Анимация динамики акустической неустойчивости (демонстрация PowerPoint)

2.8 MB

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