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On stability and convergence of projection methods based on pressure Poisson equation
Author(s) -
Guermond J.L.,
Quartapelle L.
Publication year - 1998
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/(sici)1097-0363(19980515)26:9<1039::aid-fld675>3.0.co;2-u
Subject(s) - mathematics , convergence (economics) , projection (relational algebra) , stability (learning theory) , poisson's equation , finite element method , compressibility , pressure correction method , work (physics) , mathematical analysis , incompressible flow , projection method , poisson distribution , mathematical optimization , geometry , flow (mathematics) , dykstra's projection algorithm , algorithm , mechanics , computer science , physics , statistics , machine learning , economics , economic growth , thermodynamics
This work investigates the proper choices of spatial approximations for velocity and pressure in fractional‐step projection methods. Numerical results obtained with classical finite element interpolations are presented. These tests confirm the role of the inf – sup LBB condition in non‐incremental and incremental versions of the method for computing viscous incompressible flows. © 1998 John Wiley & Sons, Ltd.