Multigrid solution of the Navier-Stokes equations for the flow in a rapidly rotating cylinder

  • W. Schröder
  • D. Hänel
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 218)


The steady axisymmetric flow in a gas centrifuge is calculated by a finite-difference solution of the linearized Navier-Stokes equations. For these equations a streamfunction -vorticity formulation could be derived with a structure similar to those for incompressible flow. The equations are solved with a multigrid method. The investigation covers the numerical problems of optimization of the algorithm, the implementation of the boundary conditions and the treatment of boundary-layer regions by means of subgrids. The results show that the multigrid algorithm improves the rate of convergence of the solution for the present problem substantially.


Coarse Grid Multigrid Method Work Unit Solid Body Rotation Multigrid Algorithm 
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    Brandt, A.: Multilevel Adaptive Solutions to Boundary-Value Problems. Math. Comput., Vol. 31, pp. 333–390, 1977.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • W. Schröder
    • 1
  • D. Hänel
    • 1
  1. 1.Aerodynamisches InstitutRWTH AachenAachenGermany

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