Finite element solution of the Navier–Stokes equations by a velocity–vorticity method |
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Authors: | G. Guevremont W. G. Habashi M. M. Hafez |
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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. |
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Keywords: | Finite elements Navier– Stokes Velocity– vorticity |
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