Multigrid-Based Grid-Adaptive Solution of the Navier-Stokes Equations

  • Jess Michelsen
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 29)


A finite volume scheme for solution of the incompressible Navier-Stokes equations in 2D and axisymmetry is described.

Solutions are obtained on non-orthogonal, solution adaptive BFC grids, based on the Brackbill-Saltzman generator. Adaptivity is achieved by the use of a single control function based on the local kinetic energy production.

Non-staggered allocation of pressure and Cartesian velocity components avoids the introduction of curvature terms associated with the use of a grid-direction vector-base. A special interpolation of the pressure correction equation in the SIMPLE algorithm ensures firm coupling between velocity and pressure field.

Steady-state solutions are accellerated by a full approximation (FAS) multigrid scheme working on the decoupled grid-flow problem, while an algebraic multigrid scheme is employed for the pressure correction equation.


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Copyright information

© Springer Fachmedien Wiesbaden 1990

Authors and Affiliations

  • Jess Michelsen
    • 1
  1. 1.Dept. of Fluid Mech.DTHLyngbyDenmark

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