Multigrid Method for Solving Euler and Navier-Stokes Equations in two and three Dimensions

  • V. Couaillier
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 29)


In this paper we describe the multigrid method we use for solving Euler and Navier-Stokes equations and which is based upon the method proposed by Ni [1] [2]. Because the multigrid acceleration technique used for the Navier-Stokes equations is straightforwardly derived from that used for the Euler equations, the main part of the presentation is dedicated to the Euler multigrid solver. Comparisons between calculations performed on a 3D complex inviscid flow allow us to optimize the convergence rate of the multigrid process by modifying the transfer operator. We indicate how the multigrid method can be easily extended to the solution of the Navier-Stokes equations.


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Copyright information

© Springer Fachmedien Wiesbaden 1990

Authors and Affiliations

  • V. Couaillier
    • 1
  1. 1.Office National d’Etudes et de Recherches Aérospatiales (ONERA)ChatillonFrance

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