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The new EDC model formulation based on the operator-splitting procedure applied to the mass conservation equations for species participating in reversible chemical reactions which can be interpreted as representing combustion in a partially stirred reactor (PaSR) volume is presented. The model has been implemented in the KIVA-3V code, and examples of the model application to spray and gas combustion are illustrated, first, by the results of the 3-D modeling of the Diesel DI Volvo D12C engine. The combustion mechanism of diesel oil surrogate included of 68 species (including soot aromatic precursors) participating in 280 reversible reactions. Mean features of diesel spray engine combustion under conditions of delayed injection when auto-ignition has much in common with HCCI process are predicted in accordance with experimental data.