A new discretization method and its application to solve incompressible Navier-Stokes equations

2001 ◽  
Vol 27 (4) ◽  
pp. 292-301 ◽  
Author(s):  
C. Shu ◽  
L. F. Fan
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Discretization Method ◽  
Navier Stokes Equations

scholarly journals Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Rong An ◽  
Xian Wang
Keyword(s):  
Boundary Conditions ◽  
Iteration Method ◽  
Numerical Solutions ◽  
Stokes Equations ◽  
Newton Iteration ◽  
Navier Stokes ◽  
Discretization Method ◽  
Navier Stokes Equations ◽  
Stabilized Finite Element Method ◽  
The Stability

We present a new stabilized finite element method for Navier-Stokes equations with friction slip boundary conditions based on Brezzi-Pitkäranta stabilized method. The stability and error estimates of numerical solutions in some norms are derived for standard one-level method. Combining the techniques of two-level discretization method, we propose two-level Newton iteration method and show the stability and error estimate. Finally, the numerical experiments are given to support the theoretical results and to check the efficiency of this two-level iteration method.

scholarly journals Modeling of Radial Flow on a Non-Contact End Effector for Robotic Handling of Non-Rigid Material

2012 ◽  
Vol 10 (4) ◽  
Author(s):  
E. Toklu ◽  
F. Erzincanli
Keyword(s):  
High Speed ◽  
Radial Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Discretization Method ◽  
Navier Stokes Equations ◽  
End Effector ◽  
Finite Volume Discretization ◽  
Product Surface ◽  
Experimental Findings

In this study a numerical model on radial flow and pressure distribution showing regions of negative values which tend to levitate products is developed. The end effector operates on the principle of generating a high-speed fluid flow between the end effector and product surface thereby creating a vacuum which levitates the product. The Navier- Stokes equations and the equation of continuity describing the flow between the nozzle and material are numerically solved by finite volume discretization method. The lifting forces and conditions are discussed by comparing numerical results with experimental findings.

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.

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