Please use this identifier to cite or link to this item: http://dspace.aiub.edu:8080/jspui/handle/123456789/237
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)
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