Optimisation of Hermitian methods for Navier-Stokes equations in the vorticity and stream-function formulation

  • B. Roux
  • P. Bontoux
  • Ta Phuoc Loc
  • O. Daube
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 771)


The aim of this paper is to show the efficiency of a "combined" method proposed to solve the 2D incompressible Navier-Stokes equations in the vorticity and stream-function formulation. A compact hermitian scheme is used for the stream function equation while a classical second order accurate scheme is taken for the vorticity equation. Comparisons have been made with purely hermitian or purely second order accurate methods. Numerical experiments have been carried out for a large variety of steady and unsteady, internal or external flows. For these problems, comparisons have been made with available experimental or computed data.


Rayleigh Number Divergence Form Combine Method Secondary Vortex Elliptic Cylinder 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • B. Roux
    • 1
  • P. Bontoux
    • 1
  • Ta Phuoc Loc
    • 2
  • O. Daube
    • 2
  1. 1.Institut de Mécanique des Fluides de MarseilleMarseille
  2. 2.Laboratoire d'Informatique pour la Mécanique et les Sciences de l'IngénieurOrsay Cedex

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