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A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
Author(s) -
De Sampaio P. A. B.
Publication year - 1991
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620310608
Subject(s) - petrov–galerkin method , mathematics , interpolation (computer graphics) , navier–stokes equations , compressibility , galerkin method , mathematical analysis , pressure correction method , finite element method , classical mechanics , mechanics , physics , motion (physics) , thermodynamics
A new Petrov‐Galerkin method for the incompressible Navier‐Stokes equations is presented. The use of the so‐called ‘optimal upwind’ parameter in multidimensions is justified by a time‐scale analysis of the relevant physical processes. The resulting procedure circumvents the Babuška‐Brezzi condition and allows equal order interpolation for velocity and pressure to be used.