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An alternative finite element formulation for determination of streamlines in two-dimensional problems

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An alternative finite element formulation for determination of streamlines in two-dimensional problems

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Título An alternative finite element formulation for determination of streamlines in two-dimensional problems
Autor Frey, Sérgio Luiz
Martins-Costa, Maria Laura
Araujo, José Henrique Carneiro de
Abstract It is well known that the numerical solutions of incompressible viscous flows are of great importance in Fluid Dynamics. The graphics output capabilities of their computational codes have revolutionized the communication of ideas to the non-specialist public. In general those codes include, in their hydrodynamic features, the visualization of flow streamlines - essentially a form of contour plot showing the line patterns of the flow - and the magnitudes and orientations of their velocity vectors. However, the standard finite element formulation to compute streamlines suffers from the disadvantage of requiring the determination of boundary integrals, leading to cumbersome implementations at the construction of the finite element code. In this article, we introduce an efficient way - via an alternative variational formulation - to determine the streamlines for fluid flows, which does not need the computation of contour integrals. In order to illustrate the good performance of the alternative formulation proposed, we capture the streamlines of three viscous models: Stokes, Navier-Stokes and Viscoelastic flows.
Contido em Journal of the brazilian society of mechanical sciences. Rio de Janeiro, RJ. Vol. 22, n. 2 (2000), p. 249-258.
Assunto Elementos finitos : Dinâmica : Mecânica dos fluidos
[en] Finite Element Method
[en] Navier-Stokes Flows
[en] Streamlines
[en] Variational formulation
[en] Viscoelastic Liquids
Origem Nacional
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/75692
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