Fluid-structural interactions using Navier-Stokes flow equations coupled with shell finite element structures

1993 ◽  
Author(s):  
GURU GURUSWAMY ◽  
CHANSUP BYUN
Keyword(s):  
Finite Element ◽  
Stokes Flow ◽  
Navier Stokes ◽  
Flow Equations ◽  
Structural Interactions ◽  
Shell Finite Element

scholarly journals Solving the Navier Stokes Flow Equations of Micro-Polar Fluids by Adomian Decomposition Method

2012 ◽  
Vol 2 ◽  
pp. 30-37 ◽  
Author(s):  
Villevo Adanhounmè ◽  
François de Paule Codo ◽  
Alain Adomou
Keyword(s):  
Stokes Flow ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Cylindrical Tube ◽  
Navier Stokes ◽  
Polar Fluids ◽  
Flow Equations ◽  
Slip Boundary ◽  
Change Of Variables ◽  
Adomian Decomposition

In this paper we investigate the Navier Stokes flow equations of micro-polar fluids by peristaltic pumping through the cylindrical tube. Taking into account the slip boundary conditions at the wall and using the suitable change of variables, we transform these equations into the ordinary differential equations for which we apply the Adomian decomposition method. Doing so we obtain the stream function, the axial velocity, the micro-polar vector and the pressure.

Numerical simulation of the filling stage for plastic injection moulding based on the Petrov-Galerkin methods

2007 ◽  
Vol 221 (10) ◽  
pp. 1573-1577 ◽  
Author(s):  
B Yan ◽  
H Zhou ◽  
D Li
Keyword(s):  
Finite Element ◽  
Injection Moulding ◽  
Stokes Equations ◽  
Numerical Algorithms ◽  
Navier Stokes ◽  
Flow Equations ◽  
Stabilized Finite Element ◽  
Plastic Injection Moulding ◽  
Numerical Instabilities ◽  
Plastic Injection

Simulation of plastic injection moulding is carried out essentially to solve non-isothermal, viscous, incompressible, and non-Newtonian convection-diffusion flow equations. However, finite element methods present spurious numerical oscillations, which give a failure result associated with the classical Galerkin formulations of viscous incompressible Navier-Stokes equations. The streamline-upwind/Petrov-Galerkin (SUPG) and pressure-stabilizing/Petrov-Galerkin (PSPG) formulations were employed to prevent these potential numerical instabilities by adding to the weighting functions with their derivatives, thus resulting in stabilized finite element formulations using equal-order interpolation functions for velocity and pressure. Numerical experiments showed that the numerical algorithms developed perform in a stable way and give accurate results compared with the well-known commercial software Moldflow.

scholarly journals Monolithic stabilized finite element method for rigid body motions in the incompressible Navier-Stokes flow

2010 ◽  
pp. 547-573
Author(s):  
Stephanie Feghali ◽  
Elie Hachem ◽  
Thierry Coupez
Keyword(s):  
Finite Element ◽  
Rigid Body ◽  
Stokes Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Stabilized Finite Element ◽  
Stabilized Finite Element Method ◽  
Extra Stress Tensor ◽  
Monolithic Formulation ◽  
Rigid Body Motions

We propose a new immersed volume method for solving rigid body motions in the incompressible Navier-Stokes flow. The used monolithic formulation gives rise to an extra stress tensor in the Navier-Stokes equations coming from the presence of the structure in the fluid. The system is solved using a finite element variational multiscale (VMS) method, which consists in here of a decomposition for both the velocity and the pressure fields into coarse/resolved scales and fine/unresolved scales. The distinctive feature of the proposed approach resides in the efficient enrichment of the extra constraint. We assess the behaviour and accuracy of the proposed formulation in the simulation of 2D and 3D examples.

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