Eruption of magnetic flux ropes during flux emergence
  Aims: We investigate the formation of flux ropes in a flux emergence region and their rise into the outer atmosphere of the Sun.   Methods: We perform 3D numerical experiments solving the time-dependent and resistive MHD equations.   Results: A sub-photospheric twisted flux tube rises from the solar interior and expands into the corona. A flux rope is formed within the expanding field, due to shearing and reconnection of field lines at low atmospheric heights. If the tube emerges into a non-magnetized atmosphere, the flux rope rises, but remains confined inside the expanding magnetized volume. On the contrary, if the expanding tube is allowed to reconnect with a preexisting coronal field, the flux rope experiences a full eruption with a rise profile which is in qualitative agreement with erupting filaments and Coronal Mass Ejections. 
V. Archontis, T. Torok