A stable secondorder accurate, finite element scheme for the analysis of twodimensional incompressible viscous flows
Abstract
Two types of elements are candidates for optimal reduced integration penalty methods: the Q(2) element for velocities with discontinuous piecewise linear pressures, presently designated the Q(2)/P(1) method, and the 8node isoparametric element with discontinuous piecewise linear pressures, designated the I(8)/P(1) element. Attention is given to the circumstances under which the former satisfies the LBB condition. It is found that the Q(2)/P(1) element is stable, and exhibits an optimal convergence rate. Ways are suggested of making the I(8)/P(1) element stable for certain problem classes.
 Publication:

Finite Element Flow Analysis
 Pub Date:
 1982
 Bibcode:
 1982fefa.proc...19O
 Keywords:

 Computational Fluid Dynamics;
 Finite Element Method;
 Incompressible Flow;
 Isoparametric Finite Elements;
 Two Dimensional Flow;
 Viscous Flow;
 Gauss Equation;
 Stokes Flow;
 Fluid Mechanics and Heat Transfer