A block preconditioning technique for the streamfunction-vorticity formulation of the Navier-Stokes equations

2011 ◽  
Vol 28 (3) ◽  
pp. 888-898 ◽  
Author(s):  
Faisal A. Fairag ◽  
Andrew J. Wathen
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Block Preconditioning ◽  
Preconditioning Technique

Preconditioned Density-Based Methods for All-Speed Flows

2007 ◽  
Author(s):  
Sijun Zhang
Keyword(s):  
Mach Number ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Test Cases ◽  
Unsteady State ◽  
Navier Stokes Equations ◽  
Speed Flow ◽  
Preconditioning Technique ◽  
Preconditioning Method ◽  
Flow Through

A low Mach number preconditioning method has been implemented in commercial computational fluid dynamics software, CFD-FASTRAN. The preconditioning technique offers a way to formulate the Euler and Navier-Stokes equations such that convergences can be made independent of Mach number. This enhancement is shown to provide accurate steady/unsteady state solutions for transonic and low-speed flow through several test cases.

Stabilization and scalable block preconditioning for the Navier–Stokes equations

2012 ◽  
Vol 231 (2) ◽  
pp. 345-363 ◽  
Author(s):  
Eric C. Cyr ◽  
John N. Shadid ◽  
Raymond S. Tuminaro
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Block Preconditioning

Effects of stator splitter blades on aerodynamic performance of a single-stage transonic axial compressor

2020 ◽  
Vol 14 (4) ◽  
pp. 7369-7378
Author(s):  
Ky-Quang Pham ◽  
Xuan-Truong Le ◽  
Cong-Truong Dinh
Keyword(s):  
Stokes Equations ◽  
Three Dimensional ◽  
Axial Compressor ◽  
Aerodynamic Performance ◽  
Numerical Results ◽  
Single Stage ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Operating Stability ◽  
Length Coverage

Splitter blades located between stator blades in a single-stage axial compressor were proposed and investigated in this work to find their effects on aerodynamic performance and operating stability. Aerodynamic performance of the compressor was evaluated using three-dimensional Reynolds-averaged Navier-Stokes equations using the k-e turbulence model with a scalable wall function. The numerical results for the typical performance parameters without stator splitter blades were validated in comparison with experimental data. The numerical results of a parametric study using four geometric parameters (chord length, coverage angle, height and position) of the stator splitter blades showed that the operational stability of the single-stage axial compressor enhances remarkably using the stator splitter blades. The splitters were effective in suppressing flow separation in the stator domain of the compressor at near-stall condition which affects considerably the aerodynamic performance of the compressor.

Sensitivity analysis for Navier-Stokes equations on unstructured meshes using complex variables

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 56-63
Author(s):  
W. Kyle Anderson ◽  
James C. Newman ◽  
David L. Whitfield ◽  
Eric J. Nielsen
Keyword(s):  
Sensitivity Analysis ◽  
Stokes Equations ◽  
Unstructured Meshes ◽  
Complex Variables ◽  
Navier Stokes ◽  
Navier Stokes Equations

Numerical solution of the reduced Navier-Stokes equations for internal incompressible flows

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1603-1614
Author(s):  
Martin Scholtysik ◽  
Bernhard Mueller ◽  
Torstein K. Fannelop
Keyword(s):  
Numerical Solution ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations
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