Fourier analysis of the simple algorithm formulated on a collocated grid

Timothy Francis Miller

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The Fourier error amplification matrix has been developed for the SIMPLE algorithm formulated on a collocated grid using the Rhie-Chow approximation. The cause of and remedy for the checkerboard pressure effect associated with collocated grid systems is shown. Comparisons with observations from the technical literature suggest that Fourier analysis is capable of describing algorithm operation. This analysis also suggests that there is a conditional relationship between the momentum underrelaxation factor and the pressure-correction damping factor for convergence of the collocated form, and indicates that the collocated form should serve as a superior multigrid smoother.

Original languageEnglish (US)
Pages (from-to)45-66
Number of pages22
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume30
Issue number1
DOIs
StatePublished - Jan 1 1996

Fingerprint

Fourier analysis
Fourier Analysis
grids
Grid
Pressure Correction
Pressure effects
pressure effects
Amplification
Damping
Momentum
damping
momentum
causes
Approximation
matrices
approximation
Form
Relationships
Observation

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications

Cite this

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Fourier analysis of the simple algorithm formulated on a collocated grid. / Miller, Timothy Francis.

In: Numerical Heat Transfer, Part B: Fundamentals, Vol. 30, No. 1, 01.01.1996, p. 45-66.

Research output: Contribution to journalArticle

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