Abstract.  In the fast ignition (FI) scheme of inertial confinement fusion, the deuterium-tritium fuel capsule is first compressed to high density by long-pulse lasers. A petawatt short-pulse laser then ignites the fuel’s dense plasma core with an enormous current of superhot electrons. In theory, FI reduces both the laser energy and precision requirements for achieving ignition. But FI faces its own challenges. A high coupling efficiency of the incident short pulse laser on the fuel is a key issue in order not to waste the igniter energy. In this talk, an overview of the latest advances in using hydrodynamics, particlein-cell and hybrid simulations for studying some fundamental issues in FI physics is presented. The plan to simulate FI experiments in SG-IIU by developing the integrated code is also introduced.