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 -