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 | |
| 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
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Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. / Tezduyar, Tayfun E.; Mittal, S.; Ray, S. E.; Shih, R.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 95, No. 2, 1992, p. 221-242.Research output: Contribution to journal › Article
}
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 -