A posteriori error estimation of steady-state finite element solutions of the Navier-Stokes equations by a subdomain residual method

H. Jin*, Serge Prudhomme

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We present a subdomain residual method, as well as its mathematical basis, for estimating errors in steady-state finite element solutions of the incompressible Navier-Stokes equations. The estimated errors are obtained by solving a series of local problems in which velocity boundary condition is used wherever the exact traction boundary condition is not available. An iterative procedure similar to the Newton method is employed to improve the error estimates. The performance of the method is demonstrated in two numerical examples, i.e. the channel flow over a backward-facing step and past a circular cylinder at low Reynolds numbers.

Original languageEnglish (US)
Pages (from-to)19-48
Number of pages30
JournalComputer Methods in Applied Mechanics and Engineering
Volume159
Issue number1-2
DOIs
StatePublished - Jul 1 1998

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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