Newtonian cafe: a new ideal MHD code to study the solar atmosphere

Abstract

We present a new code designed to solve the equations of classical ideal\nmagneto-hydrodynamics (MHD) in three dimensions, submitted to a constant\ngravitational field. The purpose of the code centers on the analysis of solar\nphenomena within the photosphere-corona region. We present 1D and 2D standard\ntests to demonstrate the quality of the numerical results obtained with our\ncode. As solar tests we present the transverse oscillations of Alfvenic pulses\nin coronal loops using a 2.5D model, and as 3D tests we present the propagation\nof impulsively generated MHD-gravity waves and vortices in the solar\natmosphere. The code is based on high-resolution shock-capturing methods, uses\nthe HLLE flux formula combined with Minmod, MC and WENO5 reconstructors. The\ndivergence free magnetic field constraint is controlled using the Flux\nConstrained Transport method.\n