Navier-Stokes equations for incompressible fluids

  • Roger Peyret
Part of the Applied Mathematical Sciences book series (AMS, volume 148)

Abstract

In this short chapter, the Navier-Stokes equations governing the motion of a viscous incompressible fluid are recalled. Two formulations are considered: the velocity-pressure formulation (also called “primitive variables” formulation) and the vorticity-streamfunction formulation. The formulation using vorticity and velocity as dependent variables will not be addressed here. This formulation, commonly used with finite-difference methods, has not yet received large attention in the field of spectral methods. However, recent works (Clercx, 1997; Trujillo and Karniadakis, 1999) have shown that Chebyshev solutions of the vorticity-velocity equations could be envisaged with success.

Keywords

Compatibility Condition Incompressible Fluid Vorticity Vector Associate Boundary Condition Outflow Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Roger Peyret
    • 1
  1. 1.Laboratoire J.A. DieudonnéUniversité de Nice-Sophia AntipolisNiceFrance

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