A collision model has been developed,which treats classical nuclear motion and quantum electronic motion self-consistently.This model conserves the total energy and momentum during the time-dependent simulation of collision dynamical process.The electrons are described within the time-dependent density-functional theory (TDDFT) equation.Realistic electron-ion pseudo-potential is used.The forces on the nuclei are computed through the Ehrenfest theorem.Wave-functions are expanded in a three-dimensional Cartesian grid in real space.The kinetic energy operator is computed with a high-order finite difference method.Time and grid spacing are related by imposing a stable time-evolution.