scholarly journals Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection

2001 ◽  
Vol 37 (4) ◽  
pp. 419-444 ◽  
Author(s):  
Ramon Codina ◽  
Jordi Blasco ◽  
Gustavo C. Buscaglia ◽  
Antonio Huerta
Keyword(s):  
Finite Element ◽  
Pressure Gradient ◽  
Stokes Equations ◽  
Gradient Projection ◽  
Finite Element Formulation ◽  
Navier Stokes ◽  
Element Formulation ◽  
Navier Stokes Equations ◽  
Stabilized Finite Element

On the Finite Element Formulation of Navier–Stokes Equations

1973 ◽  
Vol 2 (4) ◽  
pp. 205-208
Author(s):  
E. Bilgen ◽  
J.J.M. Too
Keyword(s):  
Finite Element ◽  
Variational Formulation ◽  
Stokes Equations ◽  
Finite Element Formulation ◽  
Navier Stokes ◽  
Simple Problem ◽  
Element Formulation ◽  
Navier Stokes Equation ◽  
Navier Stokes Equations ◽  
Pressure Fields

A variational formulation of the Navier-Stokes equation for steady flow of an incompressible fluid is presented and the limitations of the resulting equation are discussed. The finite element formulation based on the minimizing of functionals of the velocity and pressure fields is presented and a simple problem is treated to illustrate the method.

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