scholarly journals Characteristic-Based Split Meshless Solution for Couette Flow

2014 ◽  
Vol 10 (1) ◽  
pp. 62-68
Author(s):  
Juraj Mužík
Keyword(s):  
Stokes Equations ◽  
Interpolation Method ◽  
Flow Analysis ◽  
Navier Stokes ◽  
Shape Functions ◽  
Weak Formulation ◽  
Navier Stokes Equations ◽  
Point Interpolation Method ◽  
Fluid Flow Analysis ◽  
Characteristic Based Split

Abstract The paper deals with use of the meshless method for incompressible fluid flow analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) - local weak formulation of the Navier-Stokes equations. The shape function construction is the crucial part of the meshless numerical analysis in the construction of shape functions. The article presents the radial point interpolation method (RPIM) for the shape functions construction

Simulating Couette Flow Using the Meshless Local Petrov-Galerkin Method

2014 ◽  
Vol 617 ◽  
pp. 203-208
Author(s):  
Juraj Mužík
Keyword(s):  
Galerkin Method ◽  
Stokes Equations ◽  
Interpolation Method ◽  
Flow Analysis ◽  
Navier Stokes ◽  
Shape Functions ◽  
Weak Formulation ◽  
Navier Stokes Equations ◽  
Point Interpolation Method ◽  
Fluid Flow Analysis

The paper deals with use of the meshless method for incompressible fluid flow analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) – local weak formulation of the Navier-Stokes equations. The shape function construction is the crucial part of the meshless numerical analysis in the construction of shape functions. The article presents the radial point interpolation method (RPIM) for the shape functions construction.

A 3D Unsteady Flow Analysis in a Doubly Constricted Tube

2000 ◽  
Author(s):  
B. V. Rathish Kumar ◽  
T. Yamaguchi ◽  
H. Liu ◽  
R. Himeno
Keyword(s):  
Pressure Drop ◽  
Unsteady Flow ◽  
Stokes Equations ◽  
Vortex Formation ◽  
Flow Analysis ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
In Series ◽  
3D Unsteady Flow

Abstract Unsteady flow dynamics in a doubly constricted vessel is analyzed by using a time accurate Finite Volume solution of three dimensional incompressible Navier-Stokes equations. Computational experiments are carried out for various values of Reynolds number in order to assess the criticality of multiple mild constrictions in series and also to bring out the subtle 3D features like vortex formation. Studies reveal that pressure drop across a series of mild constrictions can get physiologically critical. Further this pressure drop is found to be sensitive to the spacing between the constrictions and also to the oscillatory nature of the inflow profile.

Cascade viscous flow analysis using the Navier-Stokes equations

1987 ◽  
Vol 3 (5) ◽  
pp. 406-414 ◽  
Author(s):  
Roger L. Davis ◽  
Ron-Ho Ni ◽  
James E. Carter
Keyword(s):  
Viscous Flow ◽  
Stokes Equations ◽  
Flow Analysis ◽  
Navier Stokes ◽  
Navier Stokes Equations

Aerodynamic and Aeroacoustic Analyses of a Regenerative Blower

2015 ◽  
Author(s):  
Man-Woong Heo ◽  
Tae-Wan Seo ◽  
Chung-Suk Lee ◽  
Kwang-Yong Kim
Keyword(s):  
Shear Stress ◽  
Variational Formulation ◽  
Stokes Equations ◽  
Flow Analysis ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Side Channel ◽  
Leakage Flow ◽  
Navier Stokes Equations ◽  
Unsteady Flow Analysis

This paper presents a parametric study to investigate the aerodynamic and aeroacoustic characteristics of a side channel regenerative blower. Flow analysis in the side channel blower was carried out by solving three-dimensional steady and unsteady Reynolds-averaged Navier-Stokes equations with the shear stress transport turbulence closure. Aeroacoustic analysis was conducted by solving the variational formulation of Lighthill’s analogy on the basis of the aerodynamic sources extracted from the unsteady flow analysis. The height and width of the blade and the angle between inlet and outlet ports were selected as three geometric parameters, and their effects on the aerodynamic and aeroacoustic performances of the blower have been investigated. The results showed that the aerodynamic and aeroacoustic performances were enhanced by decreasing height and width of blade. It was found that angle between inlet and outlet ports significantly influences the aerodynamic and aeroacoustic performances of the blower due to the stripper leakage flow.

Flow Pattern on the Surface of Airfoil With Lower Reynolds Number

2009 ◽  
Author(s):  
Xu Sun ◽  
Jia-Zhong Zhang
Keyword(s):  
Reynolds Number ◽  
Flow Pattern ◽  
Stokes Equations ◽  
Separation Bubble ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Driven Cavity ◽  
Naca0012 Airfoil ◽  
Lower Reynolds Number ◽  
Characteristic Based Split

In this paper, aerodynamic performance of the NACA0012 airfoil in the incompressible flow with a lower Reynolds number (Re) is investigated numerically from the viewpoints of flow pattern and nonlinear dynamics. First, the characteristic-based split (CBS) finite element method is introduced for the approximation of the incompressible Navier-Stokes equations, and then the lid-driven cavity flow and flow around a circular cylinder are calculated for varification. Then, at Re = 1000, flow fields around the NACA0012 airfoil at a series of angles of attack are simulated. With the increase of the attack angle, great change of the flow pattern appears, and the flow structures such as trailing edge vortex, separation bubble and shedding vortex are observed. Moreover, it is found that the separation bubble plays an important role in the deterioration of the flow stability at higher attack angles, and the vortex shedding can be taken as the result of a Hopf bifurcation while the bifurcation parameter is the angle of attack.

Squeeze Film Flow Analysis Using Moving Particle Semi-Implicit Calculation

2012 ◽  
Author(s):  
Nobuyuki Hirooka ◽  
Elon J. Terrell
Keyword(s):  
Stokes Equations ◽  
Flow Analysis ◽  
Squeeze Film ◽  
Navier Stokes ◽  
Original Form ◽  
Particle Interactions ◽  
Navier Stokes Equations ◽  
Mps Method ◽  
Moving Particle ◽  
Film Flows

We have presented an application of the modified Moving Particle Semi-implicit (MPS) method for squeeze film flows. In addition to calculating the flow field of a squeeze film using the full Navier-Stokes equations, this method has the advantage of being meshless, which gives it the capability of analyzing dynamic and/or highly transient squeeze films by discretizing the domain as a series of particles and numerically analyzing inter-particle interactions. Although past literature has indicated the MPS method in its original form to be unstable in terms of its calculation of pressure, a modified algorithm was implemented to provide agreement between the numerical results and the analytical solutions.

Application of the Meshless Local Petrov-Galerkin Method for Subsoil Settlement Analysis

2014 ◽  
Vol 969 ◽  
pp. 55-62 ◽  
Author(s):  
Juraj Mužík ◽  
Dana Sitányiová
Keyword(s):  
Galerkin Method ◽  
Interpolation Method ◽  
Meshless Methods ◽  
Deformation Analysis ◽  
Shape Functions ◽  
Equilibrium Equations ◽  
Weak Formulation ◽  
Point Interpolation Method ◽  
Point Interpolation ◽  
Set Of Points

The paper deals with use of the meshless method for soil stress-deformation analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) local weak formulation of the equilibrium equations. The main difference between meshless methods and the conventional finite element method (FEM) is that meshless shape functions are constructed using randomly scattered set of points without any relation between points. The shape function construction is the crucial part of the meshless numerical analysis in the construction of shape functions. The article presents the radial point interpolation method (RPIM) for the shape functions construction.

scholarly journals A Novel Approach to High Resolution Compressible Cascade Flow Analysis Using the Navier-Stokes Equations

1992 ◽  
Author(s):  
E. Y.-K. Ng ◽  
W. N. Dawes
Keyword(s):  
Stokes Equations ◽  
Reverse Flow ◽  
Flow Analysis ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Outer Code ◽  
Fast Solver ◽  
Novel Approach ◽  
Euler Solver ◽  
Fine Resolution

This paper deals with the development of a technique aimed at improving the accuracy of 2-D flow solutions of turbomachinery problems. The basic concept is to take a quasi-3D Navier-Stokes or Euler solver on a coarse mesh (the “outer code”) and couple it to a 2-D space marching parabolised Navier-Stokes solver on a finer sub-mesh (the “inner code”). The “inner-code” includes the FLARE approximation to permit reverse flow. The inner and outer codes are coupled by adopting an approach analogous to classical multigrid methods. The combination forms a cheap and fast solver to provide fine resolution solutions using only mini-computer resources. Predictions of the flow through a compressor and a turbine cascade are described and show good agreement with the experimental results.

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