TY - JOUR
T1 - Algebraic pressure segregation methods for the incompressible navier-stokes equations
AU - Badia, S.
AU - Codina, R.
PY - 2008/9/1
Y1 - 2008/9/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=56949097652&partnerID=8YFLogxK
U2 - 10.1007/s11831-008-9020-3
DO - 10.1007/s11831-008-9020-3
M3 - Article
AN - SCOPUS:56949097652
SN - 1134-3060
VL - 15
SP - 343
EP - 369
JO - Archives of Computational Methods in Engineering
JF - Archives of Computational Methods in Engineering
IS - 3
ER -