학술논문

An intuitive parametric model for 3D compressible hydrodynamical and MHD turbulence
Document Type
Working Paper
Source
Subject
Astrophysics - Astrophysics of Galaxies
Astrophysics - Solar and Stellar Astrophysics
Physics - Fluid Dynamics
Physics - Plasma Physics
Language
Abstract
An analytical model for three-dimensional incompressible turbulence was recently introduced in the hydrodynamics community which, with only a few parameters, shares many properties of experimental and numerical turbulence, notably intermittency (non-Gaussianity), the energy cascade (skewness), and vorticity alignment properties. In view of modeling astrophysical environments, we introduce a manner to extend to compressible fluids the three-dimensional turbulent velocity field model of Chevillard et al. (2010), as well as the three 3D turbulent magnetic field models of Durrive et al. (2020), following the same procedure based on the concept of multiplicative chaos. Our model provides a complementary tool to numerical simulations, as it enables us to generate very quickly fairly realistic velocity fields and magnetic fields, the statistics of which are controllable with intuitive parameters. Therefore our model will also provide a useful tool for observers in astrophysics. Finally, maybe even more than the model itself, it is the very procedure that matters the most: our model is modular, in the sense that it is constructed gradually, with intuitive and physically motivated steps, so that it is prone to many further improvements.
Comment: 15 pages, submitted to MNRAS