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The paper is focused on simulation of high-pressure part of thermodynamic cycle in a four-stroke spark ignition engine. The main author's ambition is to create the fast and sufficiently accurate multi-zone simulating tool working on the basis of simple quasi-dimensional method reflecting a real 3-D combustion chamber geometry and using the specific approach to transfer and transformation of species. The introduced procedure combines a classical kinetic scheme with the flexible Holub's method for chemical equilibrium to solve serious numerical issues resulting from chemical kinetics itself. But for the present, the current version model uses just fast chemical kinetics with direct transformation of reactants to chemical equilibrium state. New code is able to work in predictive or inverse mode as well. Real 3-D combustion chamber geometry is taken into account by means of in advance created geometrical characteristics to save a computational time during the simulation.