TY - JOUR
T1 - A stabilization technique for steady flow problems
AU - Kanayama, Hiroshi
AU - Tagami, Daisuke
AU - Araki, Takahiro
AU - Kume, Hirokazu
PY - 2004/5
Y1 - 2004/5
N2 - Finite element methods with stabilization techniques for the steady Navier-Stokes equations are studied. To solve the steady Navier-Stokes equations, the Newton method is used. To compute the problem at each step of the nonlinear iteration, a stabilization technique is introduced. The mixed interpolation, which satisfies the inf-sup condition, with stabilized terms is also considered to investigate its computational efficiency. Numerical results show that stabilized terms improve convergences of the Newton method especially in the case of high Reynolds numbers as well as those of the linear solver at each step of the nonlinear iteration.
AB - Finite element methods with stabilization techniques for the steady Navier-Stokes equations are studied. To solve the steady Navier-Stokes equations, the Newton method is used. To compute the problem at each step of the nonlinear iteration, a stabilization technique is introduced. The mixed interpolation, which satisfies the inf-sup condition, with stabilized terms is also considered to investigate its computational efficiency. Numerical results show that stabilized terms improve convergences of the Newton method especially in the case of high Reynolds numbers as well as those of the linear solver at each step of the nonlinear iteration.
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U2 - 10.1080/1061856031000152335
DO - 10.1080/1061856031000152335
M3 - Article
AN - SCOPUS:2942581536
SN - 1061-8562
VL - 18
SP - 297
EP - 301
JO - International Journal of Computational Fluid Dynamics
JF - International Journal of Computational Fluid Dynamics
IS - 4
ER -