Numerical Simulations of Fast Magnetohydrodynamic Waves in a Coronal Plasma - Part One

The temporal evolution of ducted waves under coronal conditions is studied in the framework of linearized lowβ MHD by means of numerical simulations. Coronal loops are represented by smoothed slabs of enhanced gas density embedded within a uniform magnetic field. The simulations show that for a smoothed density profile there is an energy leakage from the slab, associated with the propagation of sausage and kink waves. Wave energy leakage in the kink wave is generally small, whereas the wave energy in sausage waves leaks more strongly for long wavelengths and smoother slabs.