Density probability distribution in one-dimensional polytropic gas dynamics
Density probability distribution in one-dimensional polytropic gas dynamics
We discuss the generation and statistics of the density fluctuations in highly compressible polytropic turbulence, based on a simple model and one-dimensional numerical simulations. Observing that density structures tend to form in a hierarchical manner, we assume that density fluctuations follow a random multiplicative process. When the polytropic exponent $\ensuremath{\gamma}$ …