Spatio temporal analysis of waves in compressively driven magnetohydrodynamics turbulence

Abstract

Using direct numerical simulations (DNSs), the interaction between linear waves and turbulence under the compressible magnetohydrodynamic (CMHD) approach was studied. A set of DNSs in three dimensions for a spatial resolution of $128^3$ and $256^3$ were performed. A parametric study was carried out varying the sonic Mach number, the mean magnetic field and the compressibility amplitude of the forcing. Spatio-temporal spectra of the magnetic energy were built and analyzed, allowing for direct identification of all wave modes in a CMHD turbulent system and quantification of the amount of energy in each mode as a function of the wave number. Thus, linear waves were detected, that is Alfvén waves and fast and slow magnetosonic waves. Furthermore, different responses of the plasma were found according to whether the Mach number or the mean magnetic field was varied. On the other hand, making use of spatio-temporal spectra and two different integration methods, we accurately quantified the amount of energy present in each of the normal modes. Finally, although the presence of linear waves was observed, in all the cases studied the system was mainly dominated by the non-linear dynamics of the plasma.

arXiv admin note: substantial text overlap with arXiv:1707.09190

References in corpus (15)

• The Solar Orbiter mission -- Science overview
• Density Fluctuations in MHD Turbulence: Spectra, Intermittency and Topology
• Energy Cascade Rate In Compressible Fast And Slow Solar Wind Turbulence
• Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory
• Nature of the MHD and kinetic scale turbulence in the magnetosheath of Saturn: Cassini observations
• Scaling of compressible magnetohydrodynamic turbulence in the fast solar wind
• Physical Interpretation of the Angle Dependent Magnetic Helicity Spectrum in the Solar Wind: The Nature of Turbulent Fluctuations near the Proton Gyroradius Scale
• Kolmogorov versus Iroshnikov-Kraichnan spectra: Consequences for ion heating in the solar wind
• Development of Anisotropy in Incompressible Magnetohydrodynamic Turbulence
• Alternative derivation of exact law for compressible and isothermal magnetohydrodynamics turbulence
• Weakly Turbulent MHD Waves in Compressible Low-Beta Plasmas
• The evolution of compressible solar wind turbulence in the inner heliosphere: PSP, THEMIS and MAVEN observations
• On the spatio-temporal behavior of magnetohydrodynamic turbulence in a magnetized plasma
• Saturn's ULF wave foreshock boundary: Cassini observations
• Absorption of waves by large scale winds in stratified turbulence

Cited by in corpus (6)

• On the Existence of Fast Modes in Compressible Magnetohydrodynamic Turbulence
• Fast magneto-acoustic wave turbulence and the Iroshnikov-Kraichnan spectrum
• Nature and Scalings of Density Fluctuations of Compressible MHD Turbulence with Applications to the Solar Wind
• Small-amplitude Compressible Magnetohydrodynamic Turbulence Modulated by Collisionless Damping in Earth's Magnetosheath: Observation Matches Theory
• Turbulence Driving by Interstellar Pickup Ions in the Outer Solar Wind
• Effect of the electronic pressure on the energy and magnetic moment of charged test particles in turbulent electromagnetic fields