In order to attempt to eliminate global warming effects, it is highly desirable that new technologies with lower or zero emission of CO2 to the environment are developed. In this work, a high-pressure fluidized-bed coal gasifier for H-2 production with in situ fixation of CO2 is simulated by a comprehensive two-dimensional model. The Eddy Dissipation Concept (EDC) model is first adopted in the pulverized coal gasification model to simultaneously describe the turbulent mixing and detailed chemical kinetics. The developed model is verified with experimental results. The simulated concentrations for the gas product agree well with the experimental data. The simulated distributions for gas temperature and velocity correlate well with the reaction mechanism and experimental phenomena.