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

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

doi:10.1016/0045-7825(92)90141-6

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

T. E. Tezduyar^*, S. Mittal, S. E. Ray, R. Shih

^*Corresponding author for this work

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

677 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 language	English
Pages (from-to)	221-242
Number of pages	22
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	95
Issue number	2
DOIs	https://doi.org/10.1016/0045-7825(92)90141-6
Publication status	Published - 1992 Mar
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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10.1016/0045-7825(92)90141-6

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title = "Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements",

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.",

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

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

year = "1992",

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doi = "10.1016/0045-7825(92)90141-6",

language = "English",

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journal = "Computer Methods in Applied Mechanics and Engineering",

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T1 - Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements

AU - Tezduyar, T. E.

AU - Mittal, S.

AU - Ray, S. E.

AU - Shih, R.

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

PY - 1992/3

Y1 - 1992/3

N2 - 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.

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

Abstract

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