Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements

Tayfun E. Tezduyar, S. Mittal, S. E. Ray, R. Shih

Research output: Contribution to journalArticle

596 Citations (Scopus)

Abstract

Finite element formulations based on stabilized bilinear and linear equal-order-interpolation velocity-pressure elements are presented for computation of steady and unsteady incompressible flows. The stabilization procedure involves a slightly modified Galerkin/least-squares formulation of the steady-state equations. The pressure field is interpolated by continuous functions for both the quadrilateral and triangular elements used. These elements are employed in conjunction with the one-step and multi-step time integration of the Navier-Stokes equations. The three test cases chosen for the performance evaluation of these formulations are the standing vortex problem, the lid-driven cavity flow at Reynolds number 400, and flow past a cylinder at Reynolds number 100.

Original languageEnglish
Pages (from-to)221-242
Number of pages22
JournalComputer Methods in Applied Mechanics and Engineering
Volume95
Issue number2
DOIs
Publication statusPublished - 1992
Externally publishedYes

Fingerprint

incompressible flow
Incompressible flow
interpolation
Interpolation
Reynolds number
formulations
Navier Stokes equations
cavity flow
Vortex flow
Stabilization
pressure distribution
Navier-Stokes equation
equations of state
stabilization
vortices
evaluation

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

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AU - Tezduyar, Tayfun E.

AU - Mittal, S.

AU - Ray, S. E.

AU - Shih, R.

PY - 1992

Y1 - 1992

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AB - Finite element formulations based on stabilized bilinear and linear equal-order-interpolation velocity-pressure elements are presented for computation of steady and unsteady incompressible flows. The stabilization procedure involves a slightly modified Galerkin/least-squares formulation of the steady-state equations. The pressure field is interpolated by continuous functions for both the quadrilateral and triangular elements used. These elements are employed in conjunction with the one-step and multi-step time integration of the Navier-Stokes equations. The three test cases chosen for the performance evaluation of these formulations are the standing vortex problem, the lid-driven cavity flow at Reynolds number 400, and flow past a cylinder at Reynolds number 100.

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