Calculation of three-dimensional flows with complex boundaries using a multigrid method

  • A. Orth
  • W. Rodi
Part of the Acta Mechanica book series (ACTA MECH.SUPP., volume 4)


The paper describes a multigrid method for calculating incompressible laminar and turbulent 3 D flows with complex geometries. The flow solver is based on an iterative finite-volume method employing non-staggered, general curvilinear grids. The convergence of the basic solver is accelerated by a Full-Approximation-Scheme/Full Multigrid Method. The iterative SIMPLE scheme for solving the coupled momentum and continuity equations and the strongly implicit procedure (SIP) for solving iteratively the linear algebraic equations are found to have good smoothing properties for use in the multigrid method. Applications of the method to a few laminar and turbulent flows are presented. The performance is compared with that of single-grid calculations and demonstrates that considerable computing time can be saved with the multigrid method also for geometrically complex flows and when turbulence-model equations are solved.


Coarse Grid Fine Grid Multigrid Method Horseshoe Vortex Multi Grid Method 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • A. Orth
    • 1
  • W. Rodi
    • 1
  1. 1.Institut für HydromechanikUniversität Karlsruhe (TH)KarlsruheFederal Republic of Germany

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