TY - JOUR
T1 - Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
AU - Behr, Marek A.
AU - Franca, Leopoldo P.
AU - Tezduyar, Tayfun E.
PY - 1993/4
Y1 - 1993/4
N2 - Formulated in terms of velocity, pressure and the extra stress tensor, the incompressible Navier-Stokes equations are discretized by stabilized finite element methods. The stabilized methods proposed are analyzed for a linear model and extended to the Navier-Stokes equations. The numerical tests performed confirm the good stability characteristics of the methods. These methods are applicable to various combinations of interpolation functions, including the simplest equal-order linear and bilinear elements.
AB - Formulated in terms of velocity, pressure and the extra stress tensor, the incompressible Navier-Stokes equations are discretized by stabilized finite element methods. The stabilized methods proposed are analyzed for a linear model and extended to the Navier-Stokes equations. The numerical tests performed confirm the good stability characteristics of the methods. These methods are applicable to various combinations of interpolation functions, including the simplest equal-order linear and bilinear elements.
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U2 - 10.1016/0045-7825(93)90205-C
DO - 10.1016/0045-7825(93)90205-C
M3 - Article
AN - SCOPUS:0027574109
VL - 104
SP - 31
EP - 48
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
IS - 1
ER -