scholarly journals An algebraic multigrid method forQ2−Q1mixed discretizations of the Navier-Stokes equations

2017 ◽  
Vol 24 (6) ◽  
pp. e2109 ◽  
Author(s):  
Andrey Prokopenko ◽  
Raymond S. Tuminaro
Keyword(s):  
Multigrid Method ◽  
Stokes Equations ◽  
Algebraic Multigrid ◽  
Navier Stokes ◽  
Algebraic Multigrid Method ◽  
Navier Stokes Equations

Comparison between extrapolation techniques associated to the multigrid method applied in the Navier-Stokes equations

2017 ◽  
Author(s):  
Bruno Benato Rutyna ◽  
Marcio Augusto Villela Pinto ◽  
Réverton Luís Antunes Neundorf ◽  
Márcio Alexandro Maciel de Anunciação ◽  
Márcio André Martins
Keyword(s):  
Multigrid Method ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations

scholarly journals Algebraic multigrid for the finite pointset method

2020 ◽  
Vol 23 (1-4) ◽  
Author(s):  
Bram Metsch ◽  
Fabian Nick ◽  
Jörg Kuhnert
Keyword(s):  
Differential Operators ◽  
Stokes Equations ◽  
Algebraic Multigrid ◽  
Navier Stokes ◽  
Symmetric Matrices ◽  
Point System ◽  
Navier Stokes Equations ◽  
Saddle Point System ◽  
Matrix Property ◽  
Velocity Pressure

AbstractWe investigate algebraic multigrid (AMG) methods for the linear systems arising from the discretization of Navier–Stokes equations via the finite pointset method. In the segregated approach, three pressure systems and one velocity system need to be solved. In the coupled approach, one of the pressure systems is coupled with the velocity system, leading to a coupled velocity-pressure saddle point system. The discretization of the differential operators used in FPM leads to non-symmetric matrices that do not have the M-matrix property. Even though the theoretical framework for many AMG methods requires these properties, our AMG methods can be successfully applied to these matrices and show a robust and scalable convergence when compared to a BiCGStab(2) solver.

Integration of Navier-Stokes equations using dual time stepping and a multigrid method

AIAA Journal ◽  
1995 ◽  
Vol 33 (6) ◽  
pp. 985-990 ◽  
Author(s):  
Andrea Arnone ◽  
Meng-Sing Liou ◽  
Louis A. Povinelli
Keyword(s):  
Multigrid Method ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Time Stepping ◽  
Dual Time Stepping
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