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.

Monte-Carlo method for simulationg the responses of a dual-space neutron porosity oil well-logging tool is developed and presented.For practical computations,the specific Monte-Carlo code introduced here uses implicit capture、weight and energy cut off、geometric splitting and Russian roulette and directional biasing techniques as primary variance reduction methods.Some of the techniques have been improved partly.Numerical tests of practical examples are discussed and analyzed,which confirmed the effectiveness of these techniques.