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Acceleration of the pressure correction method for a rotating Navier‐Stokes problem
Author(s) -
Lonsdale G.,
Walsh J. E.
Publication year - 1988
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.1650080605
Subject(s) - pressure correction method , laminar flow , navier–stokes equations , multigrid method , linearization , solver , incompressible flow , mathematics , compressibility , hagen–poiseuille equation , pressure gradient , mechanics , polar coordinate system , computational fluid dynamics , mathematical analysis , flow (mathematics) , physics , geometry , partial differential equation , nonlinear system , mathematical optimization , quantum mechanics
The behaviour of the pressure correction method is studied for the solution of the incompressible steady‐state Navier‐Stokes and continuity equations in a rotating cylindrical‐polar co‐ordinate system, the specific problem being that of laminar source‐sink flow between two corotating discs. Modifications to improve the linearization and the handling of the rotation terms are introduced, and we compare three extended pressure correction schemes and also the use of a multigrid algorithm in part of the calculation procedure as a linear solver.