Shock Waves pp 299-304 | Cite as

Implicit-explicit Runge-Kutta methods for stiff combustion problems

  • E. Lindblad
  • D.M. Valiev
  • B. Müller
  • J. Rantakokko
  • P. Lütstedt
  • M.A. Liberman


New high order implicit-explicit Runge-Kutta methods have been developed and implemented into a finite volume code to solve the Navier-Stokes equations for reacting gas mixtures. If only the stiff chemistry is treated implicitly, the linear systems in each Newton iteration are simple and solved directly. Numerical simulations of deflagration-to-detonation transition (DDT) show the potential of the new time integration for computational combustion.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • E. Lindblad
    • 1
  • D.M. Valiev
    • 2
  • B. Müller
    • 3
  • J. Rantakokko
    • 1
    • 4
  • P. Lütstedt
    • 1
  • M.A. Liberman
    • 5
  1. 1.Department of Information TechnologyUppsala University751 05 UppsalaSweden
  2. 2.Materials Science and Engineering, KTH100 44 StockholmSweden
  3. 3.Department of Energy and Process EngineeringNorwegian University of Science and TechnologyNorway
  4. 4.UPPMAXUppsala University751 05 UppsalaSweden
  5. 5.Department of PhysicsUppsala University751 21 UppsalaSweden

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