A Composite Explicit-Implicit Godunov Method for Unsteady Problems on Highly Stiff Grids

  • Igor Men’shov
  • Yoshiaki Nakamura
Conference paper


The present paper is devoted to the development of a composite explicit-implicit method for computing the unsteady Navier-Stokes equations on grids with a high ratio between maximal and minimal grid spacings, here referred to as stiff grids. The method implements a smooth switching between the explicit and implicit modes. In the explicit mode, which is realized in regions of a large grid spacing, the method is represented by a second order Godunov/MUSCL sceme. As a whole, the method satisfies the Max Norm Diminishing (MND) property in the linear case and is stable for any value of the time step in the case of non-linear equations




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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Igor Men’shov
    • 1
  • Yoshiaki Nakamura
    • 1
  1. 1.Nagoya UniversityNagoyaJapan

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