Development and validation of a SUPG finite element scheme for the compressible Navier–Stokes equations using a modified inviscid flux discretization

2008 ◽  
Vol 57 (3) ◽  
pp. 265-293 ◽  
Author(s):  
Benjamin S. Kirk ◽  
Graham F. Carey
Keyword(s):  
Finite Element ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Finite Element Scheme ◽  
Navier Stokes Equations ◽  
Element Scheme ◽  
Development And Validation

Numerical Turbulent Analysis for Flow Around a Square Cylinder Using the Finite Element Method

2003 ◽  
Author(s):  
Shinichiro Miura ◽  
Kazuhiko Kakuda
Keyword(s):  
Finite Element ◽  
Flow Field ◽  
Turbulent Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Square Cylinder ◽  
Weak Formulation ◽  
Finite Element Scheme ◽  
Navier Stokes Equations ◽  
Element Scheme

A finite element scheme based on the Petrov-Galerkin weak formulation using exponential weighting functions for solving accurately, and in a stable manner, the flow field of an incompressible viscous fluid has been proposed in our previous works. In this paper, we present the Petrov-Galerkin finite element scheme for turbulent flow field. The incompressible Navier-Stokes equations are numerically integrated in time by using a fractional step strategy with second-order accurate Adams-Bashforth explicit differencing for both convection and diffusion terms. Numerical results obtained herein are compared through turbulent flow around a square cylinder at Re = 22,000 with the experimental data and other existing numerical ones.

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