A defect correction method for the time-dependent Navier-Stokes equations

2009 ◽  
Vol 25 (1) ◽  
pp. 1-25 ◽  
Author(s):  
A. Labovschii
Keyword(s):  
Stokes Equations ◽  
Correction Method ◽  
Time Dependent ◽  
Navier Stokes ◽  
Defect Correction ◽  
Navier Stokes Equations

scholarly journals A TWO-LEVEL DEFECT–CORRECTION METHOD FOR NAVIER–STOKES EQUATIONS

2009 ◽  
Vol 81 (3) ◽  
pp. 442-454 ◽  
Author(s):  
QINGFANG LIU ◽  
YANREN HOU
Keyword(s):  
Stokes Equations ◽  
Correction Method ◽  
Navier Stokes ◽  
Stability Factor ◽  
Defect Correction ◽  
Navier Stokes Equations ◽  
Level Method ◽  
High Reynolds ◽  
Standard Galerkin Method ◽  
Correction Step

AbstractA two-level defect–correction method for the steady-state Navier–Stokes equations with a high Reynolds number is considered in this paper. The defect step is accomplished in a coarse-level subspace Hm by solving the standard Galerkin equation with an artificial viscosity parameter σ as a stability factor, and the correction step is performed in a fine-level subspace HM by solving a linear equation. H1 error estimates are derived for this two-level defect–correction method. Moreover, some numerical examples are presented to show that the two-level defect–correction method can reach the same accuracy as the standard Galerkin method in fine-level subspace HM. However, the two-level method will involve much less work than the one-level method.

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