Algebraic pressure segregation methods for the incompressible navier-stokes equations

S. Badia, R. Codina

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27 Citations (Scopus)


This work is an overview of algebraic pressure segregation methods for the incompressible Navier-Stokes equations. These methods can be understood as an inexact LU block factorization of the original system matrix. We have considered a wide set of methods: algebraic pressure correction methods, algebraic velocity correction methods and the Yosida method. Higher order schemes, based on improved factorizations, are also introduced. We have also explained the relationship between these pressure segregation methods and some widely used preconditioners, and we have introduced predictor-corrector methods, one-loop algorithms where nonlinearity and iterations towards the monolithic system are coupled.

Original languageEnglish
Pages (from-to)343-369
Number of pages27
JournalArchives of Computational Methods in Engineering
Issue number3
Publication statusPublished - 1 Sep 2008
Externally publishedYes

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