It presents some numerical methods to simulate the complicated behavior of the plasma flow in laser hohlraum target, Which include adaptive technique of the meshes and moving grid method, etc. The calculated results show that these methods are effective.

The hydrodynamic surface instabilities driven by X-ray ablation in Inertial Confinement Fusion(CIF)have been analyzed,and the role of Raleigh-Taylor(RT) instabilities in CIF has been also discussed.Based on one dimension numerical computational results,according to the formula of net growth factor at the ablation surface,the net growth rates of RT instabilities have been estimated.Finally,some recommendations for instability experiment are proposed.

The low phase error FCT numerical algorithm is introduced,and used to simulate Rayleigh-Taylor(RT) and Richtmyer-Meshkov(RM) instabilities.Simulation results agree well with the linear theories of RT and RM instabilities and the calculation of the shock tube experiment of Russia.It shows that the FCT method is fit to simulations of instabilities of ICF problems.