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Finite element solution of the Navier–Stokes equations by a velocity–vorticity method
Author(s) -
Guevremont G.,
Habashi W. G.,
Hafez M. M.
Publication year - 1990
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650100408
Subject(s) - vorticity , pressure correction method , laminar flow , navier–stokes equations , mathematics , reynolds number , vorticity equation , mathematical analysis , compressibility , finite element method , classical mechanics , mechanics , physics , vortex , turbulence , thermodynamics
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.