Defect correcting extrapolation technique for Oseen and Navier–Stokes Flows


Computers and Mathematics with Applications, vol.80, no.5, pp.1029-1049, 2020 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.1016/j.camwa.2020.05.021
  • Journal Name: Computers and Mathematics with Applications
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, MLA - Modern Language Association Database, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.1029-1049
  • Keywords: Defect correcting extrapolation, Artificial viscosity, Navier-Stokes, High Reynolds number, Energy recovery, RICHARDSON EXTRAPOLATION


This report presents defect correcting extrapolation technique (DCE), an alternative approach for defect correction (DC). In contrast to conventional DC methods, which always solve for separate correction steps, DCE instantly assumes weighted linear combinations of several artificial viscosity approximations as a corrected solution. This way, it merely requires solving an identical problem with varying viscosities. The theory and computations show that DCE uncovers "hidden turbulence" in artificially-diffused laminar solutions, and recovers their energy and turbulent characteristics. (C) 2020 Elsevier Ltd. All rights reserved.