International Journal of Automotive Technology

, Volume 17, Issue 1, pp 51–61 | Cite as

Cycle-simulation turbulence modelling of IC engines

  • M. Sjerić
  • D. Kozarac
  • K. Ormuž


Numerical simulations of IC engines are of high interest for automotive engineers worldwide. The simulation models should be as fast as possible, low-computational effort and predictive tool. The correct prediction of turbulence level inside the combustion chamber of spark ignition engines is the most important factor influencing to the engine working cycle. This paper presents a development of the k-ε turbulence model applied to the commercial cycle-simulation software with the high emphasis on the intake part. The validation was performed on two engine geometries with the variation of engine speed and load comparing the cycle-simulation results of the turbulent kinetic energy and in-cylinder temperature with 3-D CFD results. In order to apply the cycle-simulation turbulence model for the simulation of entire engine map, the parameterization model of turbulence constants was proposed. The parameterized turbulence model was optimized using NLPQL optimization algorithm where the single set of turbulence model parameters for each engine was found. A good agreement of the turbulent kinetic energy during the expansion was achieved when the turbulence affects the flame front propagation and combustion rate as well.

Key Words

Cycle-simulation Turbulence Combustion Spark-ignition engine 



surface area, m2


turbulent kinetic energy, m2/s2


integral (Taylor) length scale, m


Kolmogorov length scale, m


in-cylinder mass, kg


production of turbulent kinetic energy, m2/s3


mass flow, kg/s


flame speed, m/s


mean flow velocity, m/s


turbulent velocity, m/s


turbulence intensity, m/s


cylinder volume, m3


dissipation rate of turbulent kinetic energy, m2/s3


dynamic viscosity, Pa·s


fluid density, kg/m3


kinematic viscosity, m2/s




intake valve cross-section






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Copyright information

© The Korean Society of Automotive Engineers and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of IC Engines and Mechanical Handling Equipment, Faculty of Mechanical Engineering and Naval ArchitectureUniversity of ZagrebZagrebCroatia

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