A multiblock Navier-Stokes algorithm using equal-order quadratic finite elements

1995 ◽  
Vol 20 (2) ◽  
pp. 169-185 ◽  
Author(s):  
D. L. Hill ◽  
E. A. Baskharone
Keyword(s):  
Finite Elements ◽  
Navier Stokes ◽  
Quadratic Finite Elements

scholarly journals Curved affine quadratic finite elements

1995 ◽  
Vol 63 (1-3) ◽  
pp. 333-339 ◽  
Author(s):  
Stanislav Koukal ◽  
Michal Křížek
Keyword(s):  
Finite Elements ◽  
Quadratic Finite Elements

Added Mass and Damping for Cylinder Vibrations Within a Confined Fluid Using Deforming Finite Elements

1987 ◽  
Vol 109 (3) ◽  
pp. 283-288 ◽  
Author(s):  
R. Chilukuri
Keyword(s):  
Finite Elements ◽  
Vibration Amplitude ◽  
Stokes Equations ◽  
Outer Cylinder ◽  
Added Mass ◽  
Navier Stokes ◽  
Element Analysis ◽  
Damping Coefficients ◽  
Moving Cylinder ◽  
Fluid Damping

Added mass and fluid damping coefficients for vibrations of an inner cylinder that is enclosed by a concentric outer cylinder are determined by finite element analysis of the unsteady, laminar, incompressible flow in the annulus. Continuously deforming space-time finite elements are used to track the moving cylinder and the changing shape of the space domain. For small cylinder vibration amplitudes, the present results agree well with the work of earlier investigators who solved the linearized Navier-Stokes equations on a fixed mesh. Fluid damping coefficients are shown to increase with vibration amplitude. Added mass coefficients may either increase or decrease with increasing vibration amplitude.

Numerical resolution of optimal control problem for the in-stationary Navier–Stokes equations

2019 ◽  
Vol 27 (1) ◽  
pp. 43-52
Author(s):  
Jamil Satouri
Keyword(s):  
Optimal Control ◽  
Finite Elements ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Stokes Equations ◽  
Explicit Scheme ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Numerical Resolution ◽  
Stationary Navier Stokes Equations

Abstract In this paper we present a study of optimal control problem for the unsteady Navier–Stokes equations. We discuss the existence of the solution, adopt a new numerical resolution for this problem and combine Euler explicit scheme in time and both of methods spectral and finite elements in space. Finally, we give some numerical results proving the effectiveness of our approach.

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