Solution Methods for the Incompressible Navier–Stokes Equations

2016 ◽  
pp. 41-1-41-22
Author(s):  
Wei Shyy ◽  
Rajat Mittal
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Solution Methods

A CFD Model for Real Gas Flows

2000 ◽  
Author(s):  
Carlo Cravero ◽  
Antonio Satta
Keyword(s):  
Numerical Solutions ◽  
Turbulence Modeling ◽  
Stokes Equations ◽  
Fluid Model ◽  
Industrial Applications ◽  
Navier Stokes ◽  
Gas Flows ◽  
Navier Stokes Equations ◽  
Real Fluid ◽  
Solution Methods

Numerical solutions of Navier-Stokes equations are nowadays widely used for several industrial applications in different fields (aerodynamic, propulsion, naval, combustion, etc..), but the solution methods still require significant improvements especially in two aspects: turbulence modeling and fluid modeling. The paper describes in some detail a real fluid model based on Redlich-Kwong-Aungier equation of state and its implementation into a Navier-Stokes solver developed by the authors for turbomachinery flows analysis.

Plume and Crosswind Interaction, Prediction and Validation

2002 ◽  
Author(s):  
J. A. Green
Keyword(s):  
Stokes Equations ◽  
Effective Means ◽  
Kinetic Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Solution Methods ◽  
Mesh Resolution ◽  
Modelling Techniques ◽  
Computational Fluid Dynamics Cfd ◽  
High Level

The prediction of the behaviour of a jet in a crossflow using computational fluid dynamics (CFD) methods is an important area of study, with many applications in industry. The methods by which the CFD code solves the kinetic equations of fluid flow, greatly affects the accuracy of the solution. As the use of CFD becomes increasingly relied upon in industry, it is necessary to investigate different modelling techniques, and to provide validation of the techniques used. This paper describes work to develop an effective means of predicting the behaviour of a subsonic jet in a crossflow using a modified version of a commercial CFD code. The effect of mesh resolution and distribution on the accuracy of the results was studied, along with the discretisation and solution methods used to solve the Navier-Stokes equations. This was done with the aim of establishing a modelling strategy for future applications, and to appraise current methods. The treatment of species and heat transport was examined. The effect of buoyancy was modelled and found to be negligible. The results from these modelling approaches were then compared to experimental data. This revealed a reasonably high level of confidence in the usefulness of CFD as a tool for predicting jet plume and crosswind interactions.

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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