Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements

T. E. Tezduyar; S. Mittal; R. Shih

doi:10.1016/0045-7825(91)90014-W

Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements

T. E. Tezduyar, S. Mittal, R. Shih

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

Quadrilateral velocity-pressure elements with constant and linear pressure interpolations are examined in the context of time-accurate finite element computation of unsteady incompressible flows. These elements involve streamline-upwind/Petrov-Galerkin stabilization and are implemented in conjunction with the one-step and multi-step temporal integration of the Navier-Stokes equations. The two test cases chosen for the performance evaluation of the formulations are the standing vortex problem and flow past a circular cylinder at Reynolds number 100.

Original language	English
Pages (from-to)	363-384
Number of pages	22
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	87
Issue number	2-3
DOIs	https://doi.org/10.1016/0045-7825(91)90014-W
Publication status	Published - 1991 Jun
Externally published	Yes

ASJC Scopus subject areas

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

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abstract = "Quadrilateral velocity-pressure elements with constant and linear pressure interpolations are examined in the context of time-accurate finite element computation of unsteady incompressible flows. These elements involve streamline-upwind/Petrov-Galerkin stabilization and are implemented in conjunction with the one-step and multi-step temporal integration of the Navier-Stokes equations. The two test cases chosen for the performance evaluation of the formulations are the standing vortex problem and flow past a circular cylinder at Reynolds number 100.",

author = "Tezduyar, {T. E.} and S. Mittal and R. Shih",

note = "Funding Information: *This research was sponsored by NASA-Johnson MSM-8796352. Funding Information: Space Center under grant NAG 9-449 and by NSF under grant",

year = "1991",

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AU - Tezduyar, T. E.

AU - Mittal, S.

AU - Shih, R.

N1 - Funding Information: *This research was sponsored by NASA-Johnson MSM-8796352. Funding Information: Space Center under grant NAG 9-449 and by NSF under grant

PY - 1991/6

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AB - Quadrilateral velocity-pressure elements with constant and linear pressure interpolations are examined in the context of time-accurate finite element computation of unsteady incompressible flows. These elements involve streamline-upwind/Petrov-Galerkin stabilization and are implemented in conjunction with the one-step and multi-step temporal integration of the Navier-Stokes equations. The two test cases chosen for the performance evaluation of the formulations are the standing vortex problem and flow past a circular cylinder at Reynolds number 100.

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Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements

Abstract

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