The combustion process in a compression apparatus with rectangular cross section is simulated using a front tracking technique. The numerical model allows to trace the movement of the flame zone in time and space allowing the flame to change its shape and position. A two-dimensional calculation of the flow field and the flame propagation is combined with a zero dimensional calculation of thermodynamic quantities. An entrainment model is applied, crevices are taken into account. The influence of the turbulence intensity on flame propagation is modeled by the turbulent flame speed for which an expression is given. Results of numerical calculations are given for different turbulence intensities. The results of these simulations are compared with experimental data.