Acta Mechanica Sinica

, 27:519 | Cite as

Large eddy simulation of fuel injection and mixing process in a diesel engine

  • Lei Zhou
  • Mao-Zhao XieEmail author
  • Ming Jia
  • Jun-Rui Shi
Research Paper


The large eddy simulation (LES) approach implemented in the KIVA-3V code and based on one-equation sub-grid turbulent kinetic energy model are employed for numerical computation of diesel sprays in a constant volume vessel and in a Caterpillar 3400 series diesel engine. Computational results are compared with those obtained by an RANS (RNG k-ɛ) model as well as with experimental data. The sensitivity of the LES results to mesh resolution is also discussed. The results show that LES generally provides flow and spray characteristics in better agreement with experimental data than RANS; and that small-scale random vortical structures of the in-cylinder turbulent spray field can be captured by LES. Furthermore, the penetrations of fuel droplets and vapors calculated by LES are larger than the RANS result, and the sub-grid turbulent kinetic energy and sub-grid turbulent viscosity provided by the LES model are evidently less than those calculated by the RANS model. Finally, it is found that the initial swirl significantly affects the spray penetration and the distribution of fuel vapor within the combustion chamber.


Large eddy simulation Diesel engine Fuel spray 

List of symbols


Drag coefficient


Drag force from gas to droplet


LES spatial filter function


Subgrid kinetic energy per unit mass


Droplet mass


Droplet evaporation rate




Subgrid kinetic energy production


Prandtl number


Droplet radius


Reynolds number


Turbulent Schmidt number

Si j

Rate of strain tensor




Drop-gas relative velocity


Spray source


Mass fraction of species m

δi j

Kronecker delta


Dissipation rate for subgrid kinetic energy


Gas density


Shear stress


Viscous shear stress

\(\bar \Delta \)

Grid size


Dynamic viscosity


Eddy viscosity


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.School of Energy and Power EngineeringDalian University of TechnologyDalianChina
  2. 2.Department of Power EngineeringShenyang Institute of EngineeringShenyangChina

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