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

✍ Scribed by G. Guevremont; W. G. Habashi; M. M. Hafez

• Publisher: John Wiley and Sons
• Year: 1990
• Tongue: English
• Weight: 510 KB
• Volume: 11
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1650110511

✦ Synopsis

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.