ON THE PERFORMANCE OF QUADRILATERAL FINITE ELEMENTS IN THE SOLUTION TO THE STOKES EQUATIONS IN PERIODIC STRUCTURES.

Avelino E Saez, R. G. Carbonell

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The use of the finite element method in solving the problem of flow of a Newtonian fluid in periodically constricted tubes is explored. The performance of eight node serendipity and nine node Lagrangian elements is compared. It was found that the Lagrangian element results in unstable velocity fields when stagnant or recirculation regions are present. This is characteristic of tubes with large expansion zones. The eight node element does not exhibit instabilities. Both elements give accurate pressure fields. This behavior is contrary to traditional results obtained for flow problems with similar geometrical characteristics. This suggests that the periodicity of the boundary conditions might be the cause of the instabilities in the numerical solution.

Original languageEnglish (US)
Pages (from-to)601-614
Number of pages14
JournalInternational Journal for Numerical Methods in Fluids
Volume5
Issue number7
StatePublished - Jul 1985
Externally publishedYes

Fingerprint

Periodic structures
Stokes Equations
Periodic Structures
Finite Element
tubes
Newtonian fluids
Tube
Vertex of a graph
pressure distribution
periodic variations
finite element method
velocity distribution
Newtonian Fluid
Boundary conditions
boundary conditions
Finite element method
Periodicity
Velocity Field
expansion
Fluids

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Condensed Matter Physics

Cite this

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