### 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 |
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Pages (from-to) | 221-242 |

Number of pages | 22 |

Journal | Computer Methods in Applied Mechanics and Engineering |

Volume | 95 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1992 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Computer Methods in Applied Mechanics and Engineering*,

*95*(2), 221-242. https://doi.org/10.1016/0045-7825(92)90141-6

**Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements.** / Tezduyar, Tayfun E.; Mittal, S.; Ray, S. E.; Shih, R.

Research output: Contribution to journal › Article

*Computer Methods in Applied Mechanics and Engineering*, vol. 95, no. 2, pp. 221-242. https://doi.org/10.1016/0045-7825(92)90141-6

}

TY - JOUR

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

AU - Tezduyar, Tayfun E.

AU - Mittal, S.

AU - Ray, S. E.

AU - Shih, R.

PY - 1992

Y1 - 1992

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.

UR - http://www.scopus.com/inward/record.url?scp=0026835076&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026835076&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(92)90141-6

DO - 10.1016/0045-7825(92)90141-6

M3 - Article

AN - SCOPUS:0026835076

VL - 95

SP - 221

EP - 242

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 2

ER -