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The velocity-vorticity formulation on staggered grid: A fractional step method. (La formulation vitesse-tourbillon en maillage décalé: Une méthode de projection.) (French. Abridged English version) Zbl 0881.76065

Summary: We show that the solution of the Navier-Stokes equations by using the velocity-vorticity formulation on a staggered grid, where the velocity is computed by means of the solution of a Cauchy-Riemann problem, may be interpreted as a fractional step method.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids