in this work, we introduce the unsteady incompressible Navier-Stokes equations with a new boundary condition, generalizes the Dirichlet and the Neumann conditions. Then we derive an adequate variational formulation of time-dependent Navier- Stokes equations. We then prove the existence theorem and a uniqueness result. A Mixed finite-element discretization is used to generate the nonlinear system corresponding to the Navier-Stokes equations. The solution of the linearized system is carried out using the GMRES method. In order to evaluate the performance of the method, the numerical results are compared with others coming from commercial code like Adina system.
%0 Journal Article
%1 IJACSA.2013.040308
%A Jaouad EL-Mekkaoui Ahmed Elkhalfi, Abdeslam Elakkad
%D 2013
%J International Journal of Advanced Computer Science and Applications(IJACSA)
%K Adina C\_(a,b,c) Element Equations; Finite Method; Mixed Navier-Stokes Unsteady boundary condition; system.
%N 3
%T Resolution of Unsteady Navier-stokes Equations with the C a,b Boundary condition
%U http://ijacsa.thesai.org/
%V 4
%X in this work, we introduce the unsteady incompressible Navier-Stokes equations with a new boundary condition, generalizes the Dirichlet and the Neumann conditions. Then we derive an adequate variational formulation of time-dependent Navier- Stokes equations. We then prove the existence theorem and a uniqueness result. A Mixed finite-element discretization is used to generate the nonlinear system corresponding to the Navier-Stokes equations. The solution of the linearized system is carried out using the GMRES method. In order to evaluate the performance of the method, the numerical results are compared with others coming from commercial code like Adina system.
@article{IJACSA.2013.040308,
abstract = {in this work, we introduce the unsteady incompressible Navier-Stokes equations with a new boundary condition, generalizes the Dirichlet and the Neumann conditions. Then we derive an adequate variational formulation of time-dependent Navier- Stokes equations. We then prove the existence theorem and a uniqueness result. A Mixed finite-element discretization is used to generate the nonlinear system corresponding to the Navier-Stokes equations. The solution of the linearized system is carried out using the GMRES method. In order to evaluate the performance of the method, the numerical results are compared with others coming from commercial code like Adina system.},
added-at = {2014-02-21T08:00:08.000+0100},
author = {{Jaouad EL-Mekkaoui Ahmed Elkhalfi}, Abdeslam Elakkad},
biburl = {https://www.bibsonomy.org/bibtex/21a7e44e3df9aa07ac770a18a1787d1b7/thesaiorg},
interhash = {c18eb3842526b3fec0abd3498d6f4eca},
intrahash = {1a7e44e3df9aa07ac770a18a1787d1b7},
journal = {International Journal of Advanced Computer Science and Applications(IJACSA)},
keywords = {Adina C\_(a,b,c) Element Equations; Finite Method; Mixed Navier-Stokes Unsteady boundary condition; system.},
number = 3,
timestamp = {2014-02-21T08:00:08.000+0100},
title = {{Resolution of Unsteady Navier-stokes Equations with the C a,b Boundary condition}},
url = {http://ijacsa.thesai.org/},
volume = 4,
year = 2013
}