Chebyshev spectral-finite element method for three-dimensional unsteady Navier-Stokes equation

1997 ◽  
Vol 82 (2-3) ◽  
pp. 97-127 ◽  
Author(s):  
He Song-nian ◽  
Guo Ben-yu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stokes Equation ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Spectral Finite Element Method ◽  
Spectral Finite Element ◽  
Element Method

scholarly journals Numerical solution of Navier stokes equation using control volume and finite element method

2016 ◽  
Vol 5 (1) ◽  
pp. 63
Author(s):  
Musa Adam Aigo
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Solution ◽  
Stokes Equation ◽  
Control Volume ◽  
Navier Stokes ◽  
Weak Formulation ◽  
Navier Stokes Equation ◽  
Fast Solution ◽  
Element Method

<p>The aim of this paper is twofold first we will  provide a numerical solution of the Navier Stokes equation using the Projection technique and finite element method. The problem will be introduced in weak formulation and a Finite Element method will be developed, then solve in a fast way the sparse system derived. Second, the projection method with Control volume approach will be applied to get a fast solution, in iterations count.</p>

An Analysis of Compressible Viscous Flows Around a Body Using Finite Element Method

2011 ◽  
Vol 403-408 ◽  
pp. 461-465
Author(s):  
Shoichi Nasu ◽  
Mutsuto Kawahara
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Viscous Flow ◽  
Stokes Equation ◽  
Density Variation ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Incompressible Viscous Flow ◽  
Compressible Viscous Flows ◽  
Element Method

The objective of this paper is an analysis of a body in a compressible viscous flow using the finite element method. Generally, when the fluid flow is analyzed, an incompressible viscous flow is often applied. However fluids have compressibility in actual phenomena. Therefore, the compressibility should be concerned in Computational Fluid Dynamics [CFD]. In this study, two kind of equation is applied to basic equations. One is compressible Navier-stokes equation, the other is incompressible Navier-stokes equation considering density variation. These analysis results of both equations are compared.

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