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Title: | Numerical Simulations of Unsteady Navier-Stokes Equations for Incompressible Newtonian Fluids using FreeFem++ based on Finite Element Method |
Authors: | Rhaman, M.M. Helal, K.M |
Keywords: | Navier-Stokes Equations Finite Element Method FreeFem++ |
Issue Date: | 7-May-2014 |
Publisher: | Annals of Pure and Applied Mathematics |
Abstract: | The goal of this paper is concerned to numerical approach of the unsteady Navier-Stokes equations for incompressible Newtonian fluids based on finite element method and we present here the numerical simulations implemented with FreeFem++. We first give the constitutive formulation of these equations. The unknowns are u the velocity and p the pressure. The constitutive equations lead to a non-linear elliptic system of partial differential equations for (u, p) . We find the variational formulation of the unsteady Navier-Stokes equations and obtain the results of numerical simulations through a programming code developed in FreeFem++. The approximation of the velocity and pressure are P2 continuous and P1 continuous finite element respectively. |
URI: | http://dspace.aiub.edu:8080/jspui/handle/123456789/237 |
ISSN: | 2279-087X (P), 2279-0888(online) |
Appears in Collections: | Publication: Journal |
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