On the resolution of the viscous incompressible flow for various SUPG finite element formulations
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On the resolution of the viscous incompressible flow for various SUPG finite element formulationsFecha
2000Cita bibliográfica
ECCOMAS 2000: CD-ROM proceedings
Resumen
[Abstract] A Finite Element based program has been released to solve the steady 2D Navier-
Stokes equations. The mixed-variable algorithm is used as a first approach to solve the
differential problem. In order to reduce the number of equations, both a penalty and
segregated formulation are implemented to give solution to the viscous incompressible flow
and their results are compared with the former formulation. The program makes use of a
SUPG type algorithm as a stabilisation procedure, in order to eliminate the numerical
oscillations, which may appear when the boundary conditions force a sudden change in the
solution, without necessarily refining the mesh. The three different algorithms are checked
making use of the benchmark problems of the flow in a square cavity, the backward step and
the flow past a cylinder. Finally the code is used to solve the flow in some practical problems
and their results are commented.
Palabras clave
Viscous incompressible flow
FEM
Navier-Stokes
SUPG
FEM
Navier-Stokes
SUPG
Descripción
European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona 11-14 september 2000
ISBN
84-89925-70-4