Introducing Combustion-Turbulence Interaction in Parallel Simulation of Diesel Engines

  • Paola Belardini
  • Claudio Bertoli
  • Stefania Corsaro
  • Pasqua D’Ambra
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4208)


In this work we focus on parallel combustion simulation in modern Common Rail Diesel engines when the interaction between complex chemical kinetics and turbulence is taken into account. We introduce a turbulence term in a detailed chemical reaction model and analyze the impact on the reliability of pollutant emission predictions and on the efficiency and scalability of our combustion software. The parallel combustion software we developed adaptively combines numerical schemes based either on Backward Differentiation Formulas or semi-implicit Runge-Kutta methods for the solution of ODE systems arising from the chemical reaction model. It is based on CHEMKIN-II package for managing detailed chemistry and on two general-purpose solvers for adaptive solution of the resulting ODE systems. Furthermore, it is interfaced with KIVA3V-II code in order to simulate the entire engine cycle.


Diesel Engine Ignition Delay Combustion Model Turbulent Combustion Model Detailed Chemical Kinetic 
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  1. 1.
    Ali, A., Cazzoli, G., Kong, S., Reitz, R., Montgomery, C.J.: Improvement in Computational Efficiency for HCCI Engine Modeling by Using Reduced Mechanisms and Parallel Computing. In: 13th International Multidimensional Engine Modeling User’s Group Meeting (Detroit 2003)Google Scholar
  2. 2.
    Amsden, A.A.: KIVA-3V: A Block-Structured KIVA Program for Engines with Vertical or Canted Valves, Los Alamos National Laboratory Report No. LA-13313-MS (1997)Google Scholar
  3. 3.
    Ascher, U.M., Petzold, L.R.: Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. SIAM, Philadelphia (1998)zbMATHGoogle Scholar
  4. 4.
    Belardini, P., Bertoli, C., Corsaro, S., D’Ambra, P.: Parallel Simulation of Combustion in Common Rail Diesel Engines by Advanced Numerical Solution of Detailed Chemistry. In: Primicerio, M., Spigler, R., Valente, V. (eds.) Applied and Industrial Mathematics in Italy, Proc. of the 7th Conference of SIMAI. World Scientific Pub., Singapore (2005)Google Scholar
  5. 5.
    Belardini, P., Bertoli, C., Corsaro, S., D’Ambra, P.: Multidimensional Modeling of Advanced Diesel Combustion System by Parallel Chemistry, Society for Automotive Engineers (SAE) Paper, 2005-01-0201 (2005)Google Scholar
  6. 6.
    Belardini, P., Bertoli, C., Corsaro, S., D’Ambra, P.: The Impact of Different Stiff ODE Solvers in Parallel Simulation of Diesel Combustion. In: Yang, L.T., Rana, O.F., Di Martino, B., Dongarra, J. (eds.) HPCC 2005. LNCS, vol. 3726, pp. 958–968. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  7. 7.
    Belardini, P., Bertoli, C., Corsaro, S., D’Ambra, P.: A Multi-Method ODE Software Component for Parallel Simulation of Diesel Engine Combustion. In: SIAM Conference on Parallel Processing for Scientific Computing, San Francisco (February 2006)Google Scholar
  8. 8.
    Brown, P.N., Byrne, G.D., Hindmarsh, A.C.: VODE: A Variable Coefficient ODE Solver. SIAM J. Sci. Stat. Comput. 10 (1989)Google Scholar
  9. 9.
    Gear, C.W.: Numerical Initial Value Problems in Ordinary Differential Equations. Prentice-Hall, Englewood Cliffs (1973)Google Scholar
  10. 10.
    Gustavsson, J., Golovitchev, V.I.: Spray Combustion Simulation Based on Detailed Chemistry Approach for Diesel Fuel Surrogate Model, Society for Automotive Engineers (SAE) Paper, 2003-0137 (2003)Google Scholar
  11. 11.
    Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, 2nd edn. Springer Series in Comput. Mathematics, vol. 14. Springer, Heidelberg (1996)zbMATHGoogle Scholar
  12. 12.
    Kee, R.J., Rupley, F.M., Miller, J.A.: Chemkin-II: A Fortran chemical kinetics package for the analysis of gas-phase chemical kinetics, SAND89-8009, Sandia National Laboratories (1989)Google Scholar
  13. 13.
    Kong, S.C., Han, Z., Reitz, R.D.: The Development and Application of a Diesel Ignition and Combustion Model for Multidimensional Engine Simulation, SAE 950278 (1995)Google Scholar
  14. 14.
    Kong, S.C., Marriott, C.D., Reitz, R.D., Christensen, M.: Modeling and Experiments of HCCI Engine Combustion Using Detailed Chemical Kinetics with Multidimensional CFD, SAE 2001-01-1026 (2001)Google Scholar
  15. 15.
    Senecal, P.K., Pomraning, E., Richards, K.J., Briggs, T.E., Choi, C.Y., McDavid, R.M., Patterson, M.A.: Multi-dimensional Modeling of Direct-Injection Diesel Spray Liquid Lenght and Flame Lift-off Lenght using CFD and Parallel Detailed Chemistry, SAE 2003-01-1043 (2003)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Paola Belardini
    • 1
  • Claudio Bertoli
    • 1
  • Stefania Corsaro
    • 2
  • Pasqua D’Ambra
    • 3
  1. 1.Istituto Motori (IM)-CNRNaplesItaly
  2. 2.Department of Statistics and Mathematics for Economic ResearchUniversity of Naples “Parthenope”NaplesItaly
  3. 3.Institute for High-Performance Computing and Networking (ICAR)-CNRNaplesItaly

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