A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations

Hirofumi Notsu, Masahisa Tabata

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In this paper we present a new single-step characteristic-curve finite element scheme of second order in time for the nonstationary incompressible Navier-Stokes equations. After supplying correction terms in the variational formulation, we prove that the scheme is of second order in time. The convergence rate of the scheme is numerically recognized by computational results.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalJournal of Scientific Computing
Volume38
Issue number1
DOIs
Publication statusPublished - 2009 Jan
Externally publishedYes

Fingerprint

Characteristic Curve
Incompressible Navier-Stokes Equations
Navier Stokes equations
Finite Element
Variational Formulation
Computational Results
Rate of Convergence
Term

Keywords

  • Characteristic-curve
  • Finite Element Method
  • Second order in time
  • The Navier-Stokes equations

ASJC Scopus subject areas

  • Software
  • Computational Theory and Mathematics
  • Theoretical Computer Science
  • Engineering(all)

Cite this

A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations. / Notsu, Hirofumi; Tabata, Masahisa.

In: Journal of Scientific Computing, Vol. 38, No. 1, 01.2009, p. 1-14.

Research output: Contribution to journalArticle

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