A fully coupled solver for two- and three-dimensional incompressible and free surface flows in viscous fluid

  • L. Gentaz
  • B. Alessandrini
  • G. Delhommeau
Algorithms Incompressible Flows
Part of the Lecture Notes in Physics book series (LNP, volume 490)


This article deals with an original numerical method for computation of two-dimensional laminar free surface flows in viscous and incompressible fluid. With this method exact non linear free surface boundary conditions are taken into account. Equations are discretised by finite differences and a modified Rhie and Chow method is used to write the discrete pressure equation. The coupled linear system in velocities, pressure and free surface elevation unknowns is solved by CGSTAB algorithm.

Two-dimensional results are presented for waves propagation in shallow water and flows around free-surface piercing bodies in forced motion.


Free Surface Pressure Equation Free Surface Flow Free Surface Elevation Forced Motion 
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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • L. Gentaz
    • 1
  • B. Alessandrini
    • 1
  • G. Delhommeau
    • 1
  1. 1.Laboratoire de Mécanique des Fluides, Division Hydrodynamique NavaleEcole Centrale de NantesNantes Cedex 03France

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