Modelling CMEs in the Heliosphere

Heliospheric models of Coronal Mass Ejection (CME) propagation and evolution provide an important insight into the dynamics of CMEs and are a valuable tool for interpretating interplanetary in situ observations. Moreover, they represent a virtual laboratory for exploring conditions and regions of space that are not conveniently or currently accessible by spacecraft. In this talk we summarize our recent advances in modeling the properties and evolution of CMEs in the solar wind. In particular, we focus on: interpretation of the global context of in situ observations; identification of new phenomena in the simulations; computation of geo-effective phenomena; and simulations of specific case events. We conclude by discussing what topics will likely be important for models to address in the future.