In the current work the preliminary results of numerical simulations of detonation wave propagation with detailed hy- drocarbon chemical mechanisms are presented. 1D and 2D cases are investigated. All simulations are conducted using an in-home code solving the chemically reacting Euler equations on supercomputers with GPUs. Four chemical models are considered: AFRL model, Singh-Jachimowski model, Varatharajan-Williams model and GRI-Mech 3.0 model. Due to complexity of GRI-Mech 3.0 model it is not used for 2D numerical simulations of detonation wave propagation. For all chemical models the Chapman-Jouguet velocity is obtained, the ignition delay is determined and the Zeldovich-Neumann-Doering solution is obtained in order to compare how suitable they are for numerical simulations of detonations. The 2D Euler equations are solved for an ethylene/oxygen/nitrogen mixture using high-order shock-capturing TVD schemes and a finite-rate chemistry solver. The sizes of detonation cells obtained with different models are compared with each other and experimental data.