Statistical properties of compressible hydrodynamic and magnetohydrodynamic turbulence [Elektronische Ressource] / Christian Vogel. Gutachter: Sibylle Günter ; Andreas Burkert. Betreuer: Sibylle Günter

TECHNISCHE UNIVERSITAT MUNCHENMax-Planck-Institut fur PlasmaphysikStatistical properties of compressiblehydrodynamic and magnetohydrodynamicturbulenceChristian VogelVollst andiger Abdruck der von der Fakult at fur Physik der TechnischenUniversit at Munc hen zur Erlangung des akademischen Grades einesDoktors der Naturwissenschaften (Dr. rer. nat.) genehmigtenDissertation.Vorsitzender: Univ.-Prof. Dr. St. PaulPrufer der Dissertation: 1. Hon.-Prof. Dr. S. Gun ter2. Univ.-Prof. Dr. A. BurkertLudwig-Maximilians-Universit at Munc henDie Dissertation wurde am 31.05.2010 bei der Technischen Universit atMunc hen eingereicht und durch die Fakult at fur Physik am 01.03.2011angenommen.AbstractIn this work, statistical properties of compressible hydrodynamic and magnetohydrodynamic turbulenceare studied using direct numerical simulations. The properties of turbulent ows change when average ow velocities within the turbulence exceed the speed of sound in the medium. High ow velocities leadto the formation of shocks, and some of the base assumptions of turbulence theories of incompressible uids no longer hold. This work presents a systematic study of the in uence of ow parameters suchas the sonic Mach number and the Alfven Mach number on low-order statistical properties of isotropic,isothermal turbulence. Numerical results for both non-magnetic and magnetic turbulence are presentedand compared to model predictions.