Abstract: It studies numerical simulation of two-dimensional hydrodynamic instability and the laser ablative interfaces instability of the inertial confinement fusion by applying the level-set-methods and the ENO method. Numerical examples are given, which demonstrate the efficiency of the present scheme for the numerical siumlation of interfaces instability.

Key words: inertial confiment fusion, laser ablative, Rayleigh-Taylor instability, level-set-method, ENO scheme