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Using a segregated finite element scheme to solve the incompressible Navier‐Stokes equations
Author(s) -
Shaw C. T.
Publication year - 1991
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.1650120106
Subject(s) - pressure correction method , laminar flow , navier–stokes equations , mathematics , interpolation (computer graphics) , finite element method , incompressible flow , compressibility , mathematical analysis , flow (mathematics) , classical mechanics , physics , geometry , mechanics , motion (physics) , thermodynamics
In this paper, a segregated finite element scheme for the solution of the incompressible Navier‐Stokes equations is proposed which is simpler in form than previously reported formulations. A pressure correction equation is derived from the momentum and continuity equations, and equal‐order interpolation is used for both the velocity components and pressure. Algorithms such as this have been known to lead to checkerboard pressure oscillations; however, the pressure correction equation of this scheme should not produce these oscillations. The method is applied to several laminar flow situations, and details of the methods used to achieve converged solutions are given.