Enhanced Runge-Kutta/Implicit Methods for Solving the Navier-Stokes Equations

  • C.-C. Rossow
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) book series (NNFM, volume 96)


Recently, Runge-Kutta/Implicit methods were proposed for the solution of the Euler and Navier-Stokes equations, allowing a reduction of computation times by about half an order of magnitude compared to methods presently in use. In this contribution the efficiency of such methods is further enhanced, first by reducing the number of Runge-Kutta stages, and second by introducing direct line-solves in the direction of maximum stiffness. Compared to a well tuned, standard reference code, for high-Reynolds number flows computation times are reduced by more than an order of magnitude.


High Reynolds Number Incompressible Flow Maximum Stiffness Implicit System Multigrid Cycle 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • C.-C. Rossow
    • 1
  1. 1.Institut für Aerodynamik und StrömungstechnikDLRBraunschweigGermany

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