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

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dc.creator Frey Sérgio
dc.creator Martins-Costa Maria Laura
dc.creator Araujo José Henrique Carneiro de
dc.date 2000
dc.date.accessioned 2013-05-30T11:29:22Z
dc.date.available 2013-05-30T11:29:22Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-73862000000200009
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01007386&date=2000&volume=22&issue=2&spage=249
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/4633
dc.description 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.
dc.publisher The Brazilian Society of Mechanical Sciences
dc.source Journal of the Brazilian Society of Mechanical Sciences
dc.subject Streamlines
dc.subject Variational Formulation
dc.subject Finite Element Method
dc.subject Navier-Stokes Flows
dc.subject Viscoelastic Liquids
dc.title An alternative finite element formulation for determination of streamlines in two-dimensional problems


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