A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures

T. Hayase, J. A.C. Humphrey, R. Greif

Research output: Contribution to journalArticlepeer-review

565 Citations (Scopus)

Abstract

Previous applications of QUICK for the discretization of convective transport terms in finite-volume calculation procedures have failed to employ a rigorous and systematic approach for consistently deriving this finite difference scheme. Instead, earlier formulations have been established numerically, by trial and error. The new formulation for QUICK presented here is obtained by requiring that it satisfy four rules that guarantee physically realistic numerical solutions having overall balance. Careful testing performed for the wall-driven square enclosure flow configuration shows that the consistently derived version of QUICK is more stable and converges faster than any of the formulations previously employed. This testing includes the relative evaluation of boundary conditions approximated by second- and third-order finite-difference schemes as well as calculations performed at higher Reynolds numbers than previously reported.

Original languageEnglish
Pages (from-to)108-118
Number of pages11
JournalJournal of Computational Physics
Volume98
Issue number1
DOIs
Publication statusPublished - 1992 Jan
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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