SOLUTION OF THE STEADY NAVIER-STOKES EQUATIONS BY THE PRESSURE CORRECTION METHOD IN THE ALE GRID

1993 ◽  
Vol 23 (2) ◽  
pp. 237-255 ◽  
Author(s):  
Yao-Hsin Hwang
Keyword(s):  
Stokes Equations ◽  
Correction Method ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Pressure Correction

scholarly journals Consistent Velocity–Pressure Coupling for Second-Order L2-Penalty and Direct-Forcing Methods

Fluids ◽  
2020 ◽  
Vol 5 (2) ◽  
pp. 92
Author(s):  
Arthur Sarthou ◽  
Stéphane Vincent ◽  
Jean-Paul Caltagirone
Keyword(s):  
Stokes Equations ◽  
Correction Method ◽  
Navier Stokes ◽  
Fictitious Domain ◽  
Immersed Boundary ◽  
Navier Stokes Equations ◽  
Pressure Correction ◽  
Numerical Instabilities ◽  
Pressure Projection ◽  
Velocity Pressure

The present work studies the interactions between fictitious-domain methods on structured grids and velocity–pressure coupling for the resolution of the Navier–Stokes equations. The pressure-correction approaches are widely used in this context but the corrector step is generally not modified consistently to take into account the fictitious domain. A consistent modification of the pressure-projection for a high-order penalty (or penalization) method close to the Ikeno–Kajishima modification for the Immersed Boundary Method is presented here. Compared to the first-order correction required for the L 2 -penalty methods, the small values of the penalty parameters do not lead to numerical instabilities in solving the Poisson equation. A comparison of the corrected rotational pressure-correction method with the augmented Lagrangian approach which does not require a correction is carried out.

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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