A Penalty-Projection Method Using Staggered Grids for Incompressible Flows

  • C. Févrière
  • Ph. Angot
  • P. Poullet
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4818)


We deal with the time-dependent Navier-Stokes equations with Dirichlet boundary conditions on all the domain or, on a part of the domain and open boundary conditions on the other part. It is shown numerically that a staggered mesh with penalty-projection method yields reasonable good results for solving the above mentioned problem. Similarly to the results obtained recently by other scientists using finite element method (FEM) [1] and [2] (with the rotational pressure-correction method for the latter), we confirm that the penalty-projection scheme with spatial discretization of the Marker And Cell method (MAC) [3] is compatible with our problem.


Dirichlet Boundary Condition Projection Method Open Boundary Condition Augmented Lagrangian Method Pressure Error 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • C. Févrière
    • 1
  • Ph. Angot
    • 2
  • P. Poullet
    • 1
  1. 1.Groupe de Recherche en Info. et Math. Appli. des Antilles et de la GuyaneUniversité des Antilles et de la GuyanePointe-à-PitreFrance
  2. 2.Laboratoire d’Analyse Topologie et ProbabilitésUniversité de ProvenceMarseille Cédex 13France

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