Error Estimates for Finite Element Approximations of Drag and Lift in Nonstationary Navier-Stokes Flows

Masahisa Tabata, Daisuke Tagami

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Error estimates are obtained for finite element approximations of the drag and the lift of a body immersed in nonstationary Navier-Stokes flows. By virtue of a consistent flux technique, the error estimates are reduced to those of the velocity as well as its first order derivatives and the pressure. Semi-implicit backward Euler method is used for the time integration and no stability condition is required. The error estimate in a square summation norm is optimal in the sense that it has the same order as the fundamental error estimate of the velocity. The error estimate in the supremum norm is not optimal in general but it is so for some finite elements.

Original languageEnglish
Pages (from-to)371-389
Number of pages19
JournalJapan Journal of Industrial and Applied Mathematics
Volume17
Issue number3
Publication statusPublished - 2000 Oct
Externally publishedYes

Fingerprint

Stokes Flow
Finite Element Approximation
Drag
Navier-Stokes
Error Estimates
Backward Euler Method
Norm
Semi-implicit
Time Integration
Supremum
Stability Condition
Summation
Finite Element
Fluxes
First-order
Derivatives
Derivative

Keywords

  • Drag and lift
  • Error estimates
  • Finite element method
  • Nonstationary Navier-Stokes equations

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Error Estimates for Finite Element Approximations of Drag and Lift in Nonstationary Navier-Stokes Flows. / Tabata, Masahisa; Tagami, Daisuke.

In: Japan Journal of Industrial and Applied Mathematics, Vol. 17, No. 3, 10.2000, p. 371-389.

Research output: Contribution to journalArticle

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