MHD Waves

Compared to hydrodynamic (HD) waves in a nonmagnetized fluid, magnetohydrodynamic (MHD) waves in a magnetized fluid show complicated behavior. Here we present the results of 2-dimensional MHD numerical simulations and explain the basic properties of MHD waves.

Introduction

First of all, we show the dispersion-relation diagram of an HD wave (sound wave) and two MHD waves (fast-mode wave, slow-mode wave). Phase velocity is the propagation speed of a single-mode wave while group velocity is the propagation speed of a group of single-mode waves.


Next we describe the basic setting of the simulations.



Simulation Results

In the following we show wave propagation in a non-magnetized fluid (HydroDynamic case), highly magnetized fluid (Low beta case), and weakly magnetized fluid (High beta case). Click the picture for details.

HD case
(Nonmagnetized case)
Low beta case (beta = 0.5)
(Strong magnetic field)
High beta case (beta = 2.0)
(Weak magnetic field)