A stabilization technique for steady flow problems

Hiroshi Kanayama, Daisuke Tagami, Takahiro Araki, Hirokazu Kume

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)297-301
Number of pages5
JournalInternational Journal of Computational Fluid Dynamics
Volume18
Issue number4
DOIs
Publication statusPublished - May 1 2004

Fingerprint

Newton methods
steady flow
Steady flow
Newton-Raphson method
Navier-Stokes equation
Navier Stokes equations
iteration
Stabilization
stabilization
high Reynolds number
Computational efficiency
interpolation
Interpolation
finite element method
Reynolds number
Finite element method

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Aerospace Engineering
  • Condensed Matter Physics
  • Energy Engineering and Power Technology
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

A stabilization technique for steady flow problems. / Kanayama, Hiroshi; Tagami, Daisuke; Araki, Takahiro; Kume, Hirokazu.

In: International Journal of Computational Fluid Dynamics, Vol. 18, No. 4, 01.05.2004, p. 297-301.

Research output: Contribution to journalArticle

Kanayama, Hiroshi ; Tagami, Daisuke ; Araki, Takahiro ; Kume, Hirokazu. / A stabilization technique for steady flow problems. In: International Journal of Computational Fluid Dynamics. 2004 ; Vol. 18, No. 4. pp. 297-301.
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