More on convergence of Chorin’s projection method for incompressible Navier-Stokes equations

Masataka Maeda, Kohei Soga

Research output: Contribution to journalArticlepeer-review

Abstract

Kuroki and Soga [Numer. Math. 2020] proved that a version of Chorin’s fully discrete projection method, originally introduced by A. J. Chorin [Math. Comp. 1969], is unconditionally solvable and convergent within an arbitrary fixed time interval to a Leray-Hopf weak solution of the incompressible Navier-Stokes equations on a bounded domain with an arbitrary external force. This paper is a continuation of Kuroki-Soga’s work. We show time-global solvability and convergence of our scheme; L2-error estimates for the scheme in the class of smooth exact solutions; application of the scheme to the problem with a time-periodic external force to investigate time-periodic (Leray-Hopf weak) solutions, long-time behaviors, error estimates, etc.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2020 Sep 11

Keywords

  • Error estimate
  • Fully discrete projection method
  • Incompressible Navier-Stokes equations
  • Leray-Hopf weak solution
  • Time-periodic solution

ASJC Scopus subject areas

  • General

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