scholarly journals Accurate Projection Methods for the Incompressible Navier–Stokes Equations

2001 ◽  
Vol 168 (2) ◽  
pp. 464-499 ◽  
Author(s):  
David L. Brown ◽  
Ricardo Cortez ◽  
Michael L. Minion
Keyword(s):  
Stokes Equations ◽  
Projection Methods ◽  
Navier Stokes ◽  
Navier Stokes Equations

A class of fully third-order accurate projection methods for solving the incompressible Navier-Stokes equations

2005 ◽  
Vol 21 (6) ◽  
pp. 542-549 ◽  
Author(s):  
Yuxin Ren ◽  
Yuxi Jiang ◽  
Miao'er Liu ◽  
Hanxin Zhang
Keyword(s):  
Stokes Equations ◽  
Projection Methods ◽  
Navier Stokes ◽  
Third Order ◽  
Navier Stokes Equations

A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier–Stokes equations

2017 ◽  
Vol 25 (4) ◽  
Author(s):  
Alexander Linke ◽  
Michael Neilan ◽  
Leo G. Rebholz ◽  
Nicholas E. Wilson
Keyword(s):  
Finite Elements ◽  
Stokes Equations ◽  
Mixed Finite Elements ◽  
Projection Methods ◽  
Navier Stokes ◽  
Spatial Discretization ◽  
Navier Stokes Equations ◽  
Coupled Method

AbstractWe prove that for several inf-sup stable mixed finite elements, the solution of the Chorin/Temam projection methods for Navier–Stokes equations equipped with grad–div stabilization with parameter γ converge to the associated coupled method solution with rate γ

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