In order to get more insight of the combustion process in a constant volume vessel, a numerical simulation is developed. A two-dimensional model with a square chamber is used and devoted to compressible, multi-components reactive flows. A global one-step reaction for chemical kinetics with the Arrhenius law for fuel consumption and laminar flame propagation is assumed. The governing equations are the Navier-Stokes equations with equation of of energy and equations of chemical species. Patankar's SIMPLE is used as an algorithm for solving the pressure and flow fields. Absolute pressure is assumed to obey the thermodynamics zero-dimensional model. Effects of heat of reation, frequency factor as well as actiation engergy are examined.