Optimization and Engineering

, Volume 11, Issue 4, pp 533–554 | Cite as

Combustion engine optimization: a multiobjective approach

  • Stefan Jakobsson
  • Muhammad Saif-Ul-Hasnain
  • Robert Rundqvist
  • Fredrik Edelvik
  • Björn Andersson
  • Michael Patriksson
  • Mattias Ljungqvist
  • Dimitri Lortet
  • Johan Wallesten
Article

Abstract

To simulate the physical and chemical processes inside combustion engines is possible by appropriate software and high performance computers. For combustion engines a good design is such that it combines a low fuel consumption with low emissions of soot and nitrogen oxides. These are however partly conflicting requirements. In this paper we approach this problem in a multi-criteria setting which has the advantage that it is possible to estimate the trade off between the different objectives and the decision of the optimal solution is postponed until all possibilities and limitations are known. The optimization algorithm is based on surrogate models and is here applied to optimize the design of a diesel combustion engine.

Keywords

Combustion engine Simulation-based optimization Multiobjective optimization Surrogate models Radial basis functions 

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References

  1. Beyer W, Liebscher M, Beer M, Graf W (2006) Neural network based response surface methods—a comparative study. In: Proceedings of the 5th German LS-DYNA Forum 2006. DYNAmore GmbH, Ulm Google Scholar
  2. Buhmann MD (2000) Radial basis functions. Acta Numer, vol 9. Cambridge Univ Press, Cambridge, pp 1–38 Google Scholar
  3. Buhmann MD (2003) Radial basis functions. Cambridge monographs on applied and computational mathematics, vol 12. Cambridge University Press, Cambridge MATHGoogle Scholar
  4. CD-adapco (2005) User guide, star-cd version 3.26 Google Scholar
  5. Chui CK (1988) Multivariate splines. CBMS-NSF regional conference series in applied mathematics, vol 54. Society for Industrial and Applied Mathematics (SIAM), Philadelphia. With an appendix by Harvey Diamond Google Scholar
  6. Deb K (1999) An introduction to genetic algorithms. Chance as necessity. Sādhanā 24(4–5):293–315. MATHMathSciNetGoogle Scholar
  7. Deb K (2001) Multi-objective optimization using evolutionary algorithms. Wiley-interscience series in systems and optimization. Wiley, New York. With a foreword by David E Goldberg MATHGoogle Scholar
  8. Deb K, Goel T (2002) Multi-objective evolutionary algorithms for engineering shape design. Evolutionary optimization, Internat Ser Oper Res Management Sci, vol 48. Kluwer Academic, Boston, pp 147–175 Google Scholar
  9. Deb K, Tiwari S (2008) Omni-optimizer: a generic evolutionary algorithm for single and multi-objective optimization. Eur J Oper Res 185(3):1062–1087 MATHCrossRefMathSciNetGoogle Scholar
  10. Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: Nsga-II. IEEE Trans Evol Comput 6:182–197 CrossRefGoogle Scholar
  11. Deb K, Sundar J, Udaya B, Rao N, Chaudhuri S (2006) Reference point based multi-objective optimization using evolutionary algorithms. Int J Comput Intell Res 2(3):273–286 MathSciNetGoogle Scholar
  12. Goel T, Vaidyanathan R, Haftka RT, Shyy W, Queipo NV, Tucker K (2007) Response surface approximation of Pareto optimal front in multi-objective optimization. Comput Meth Appl Mech Eng 196(4–6):879–893 MATHCrossRefGoogle Scholar
  13. Hamacher HW, Küfer K-H (2002) Inverse radiation therapy planning—a multiple objective optimization approach. Discrete Appl Math 118(1–2):141–161 Google Scholar
  14. Hjorth JSU (1994) Computer intensive statistical methods. Chapman & Hall, London. Validation model selection and bootstrap MATHGoogle Scholar
  15. Holmström K (1999) The TOMLAB optimization environment in MATLAB. Adv Model Optim 1:47 MATHGoogle Scholar
  16. Huh KY, Gosman AD (1991) A phenomenological model of diesel spray atomization. In: Proc of the international conference on multiphase flows (Sep 1991) Google Scholar
  17. Jakobsson S, Patriksson M, Rudholm J, Wojciechowski A (2009) A method for simulation based optimization using radial basis functions. Optim Eng. doi: 10.1007/s11081-009-9087-1
  18. Jones DR (2001) A taxonomy of global optimization methods based on response surfaces. J Glob Optim 21(4):345–383 MATHCrossRefGoogle Scholar
  19. Jones DR, Perttunen CD, Stuckman BE (1993) Lipschitzian optimization without the Lipschitz constant. J Optim Theory Appl 79(1):157–181 MATHCrossRefMathSciNetGoogle Scholar
  20. Karlsson A, Magnusson I, Balthasar M, Mauss F (1998) Simulation of soot formation under diesel engine conditions using a detailed kinetic soot model. J Eng, SAE-Trans 981022 Google Scholar
  21. Magnussen BF, Hjertager BH (1976) On mathematical models of turbulent combustion with special emphasis on soot formation and combustion. Proc Combust Inst 16:719–729 Google Scholar
  22. Miettinen K (1999) Nonlinear multiobjective optimization. International series in operations research & management science. Kluwer Academic, Boston MATHGoogle Scholar
  23. Miettinen K (2001) Some methods for nonlinear multi-objective optimization. In: Evolutionary multi-criterion optimization (Zurich, 2001). Lecture notes in comput sci. Springer, Berlin, pp 1–20 CrossRefGoogle Scholar
  24. Pedram T, Fakhraie SM, Pedram A, Jamali MR, Lucas C (2006) Local linear model tree (lolimot) reconfigurable parallel hardware. In: Proceedings of World Academy of Science, Engineering and Technology, vol 13, May 2006, pp 96–101 Google Scholar
  25. Queipo NV, Haftka RT, Shyy W, Goel T, Vaidyanathan R, Kevin T (2005) Surrogate-based analysis and optimization. Prog Aerosp Sci 41(1):1–28 CrossRefGoogle Scholar
  26. Sacks J, Welch WJ, Mitchell TJ, Wynn HP (1989) Design and analysis of computer experiments. Stat Sci 4(4):409–435. With comments and a rejoinder by the authors MATHCrossRefMathSciNetGoogle Scholar
  27. Thieke C, Küfer K-H, Monz M, Scherrer A, Alonso F, Oelfke U, Huber PE, Debus J, Bortfeld T (2007) A new concept for interactive radiotherapy planning with multicriteria optimization: First clinical evaluation. Radiother Oncol 85(2):292–298 CrossRefGoogle Scholar
  28. Wendland H (2005) Scattered data approximation. Cambridge monographs on applied and computational mathematics, vol 17. Cambridge University Press, Cambridge MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Stefan Jakobsson
    • 1
  • Muhammad Saif-Ul-Hasnain
    • 1
  • Robert Rundqvist
    • 1
  • Fredrik Edelvik
    • 1
  • Björn Andersson
    • 1
  • Michael Patriksson
    • 2
  • Mattias Ljungqvist
    • 3
  • Dimitri Lortet
    • 4
  • Johan Wallesten
    • 4
  1. 1.Fraunhofer-Chalmers CentreGöteborgSweden
  2. 2.Chalmers University of TechnologyGöteborgSweden
  3. 3.Volvo Car CorporationGöteborgSweden
  4. 4.Volvo Powertrain CorporationGöteborgSweden

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