scholarly journals ON THE LINEARIZATION OF DEFECT-CORRECTION METHOD FOR THE STEADY NAVIER-STOKES EQUATIONS

2013 ◽  
Vol 50 (5) ◽  
pp. 1129-1163
Author(s):  
Yueqiang Shang ◽  
Do Wan Kim ◽  
Tae-Chang Jo
Keyword(s):  
Stokes Equations ◽  
Correction Method ◽  
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.

Subgrid Stabilized Defect Correction Methods for the Navier–Stokes Equations

2006 ◽  
Vol 44 (4) ◽  
pp. 1639-1654 ◽  
Author(s):  
Songul Kaya ◽  
William Layton ◽  
Béatrice Rivière
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Defect Correction ◽  
Navier Stokes Equations

Measurement and Calculation of Nozzle Guide Vane End Wall Heat Transfer

1998 ◽  
Author(s):  
Neil W. Harvey ◽  
Martin G. Rose ◽  
John Coupland ◽  
Terry Jones
Keyword(s):  
Heat Transfer ◽  
Stokes Equations ◽  
Guide Vane ◽  
Correction Method ◽  
Navier Stokes ◽  
Design Data ◽  
Navier Stokes Equations ◽  
Wall Functions ◽  
Transfer Rates ◽  
Nozzle Guide

A 3-D steady viscous finite volume pressure correction method for the solution of the Reynolds averaged Navier-Stokes equations has been used to calculate the heat transfer rates on the end walls of a modern High Pressure Turbine first stage stator. Surface heat transfer rates have been calculated at three conditions and compared with measurements made on a model of the vane tested in annular cascade in the Isentropic Light Piston Facility at DERA, Pyestock. The NGV Mach numbers, Reynolds numbers and geometry are fully representative of engine conditions. Design condition data has previously been presented by Harvey and Jones (1990). Off-design data is presented here for the first time. In the areas of highest heat transfer the calculated heat transfer rates are shown to be within 20% of the measured values at all three conditions. Particular emphasis is placed on the use of wall functions in the calculations with which relatively coarse grids (of around 140,000 nodes) can be used to keep computational run times sufficiently low for engine design purposes.

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