TY - JOUR

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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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 -