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Finite element solution of the Navier–Stokes equations by a velocity–vorticity method

1990; Wiley; Volume: 10; Issue: 4 Linguagem: Inglês

10.1002/fld.1650100408

1097-0363

G. Guèvremont, Wagdi G. Habashi, Mohamed Hafez,

Fluid Dynamics and Vibration Analysis

Abstract A velocity–vorticity formulation of the Navier–Stokes equations is presented as an alternative to the primitive variables approach. The velocity components and the vorticity are solved for in a fully coupled manner using a Newton method. No artificial viscosity is required in this formulation. The pressure is updated by a method allowing natural imposition of boundary conditions. Incompressible and subsonic results are presented for two‐dimensional laminar internal flows up to high Reynolds numbers.