Recent advances in the marker and cell method

S. McKee, M.F. Tomé, J.A. Cuminato, A. Castelo, V.G. Ferreira

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this article recent advances in the MAC method will be reviewed. The MAC technique dates back to the early sixties at the Los Alamos Laboratories and this paper starts with a historical review,and then a summary of related techniques. Improvements since the early days of MAC (and the Simplified MAC -SMAC) include automatic time-stepping, the use of the conjugate gradient method to solve the Poisson equation for the corrected velocity potential, greater efficiency through stripping out all particles (markers) other than those near the free surface , more accurate approximations of the free surface boundary conditions, the addition of a bounded high accuracy upwinding for the convected terms (thereby being able to solve higher Reynolds number flows), and a (dynamic) flow visualization facility. This article will concentrate, in the main, on a three-dimensional version of the SMAC method. It will show how to approximate curved boundaries by onsidering one configurational example in detail; the same will also be done for the free surface. The article will avoid validation, but rather focus on many of the examples and applucations that the MAC method can solve from turbulent flows to rheology. It will conclude with some speculative comments on the future direction of the methodology.
LanguageEnglish
Pages107-142
Number of pages35
JournalArchives of Computational Methods in Engineering
Volume11
Issue number2
Publication statusPublished - 2004

Fingerprint

Free Surface
Cell
Upwinding
Flow Visualization
Curved Boundary
Conjugate gradient method
Rheology
Poisson equation
Time Stepping
Conjugate Gradient Method
Flow visualization
Poisson's equation
Date
Turbulent Flow
Turbulent flow
Reynolds number
High Accuracy
Boundary conditions
Three-dimensional
Methodology

Keywords

  • MAC technique
  • MAC method
  • Poisson equation

Cite this

McKee, S. ; Tomé, M.F. ; Cuminato, J.A. ; Castelo, A. ; Ferreira, V.G. / Recent advances in the marker and cell method. In: Archives of Computational Methods in Engineering. 2004 ; Vol. 11, No. 2. pp. 107-142.
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McKee, S, Tomé, MF, Cuminato, JA, Castelo, A & Ferreira, VG 2004, 'Recent advances in the marker and cell method' Archives of Computational Methods in Engineering, vol. 11, no. 2, pp. 107-142.

Recent advances in the marker and cell method. / McKee, S.; Tomé, M.F.; Cuminato, J.A.; Castelo, A.; Ferreira, V.G.

In: Archives of Computational Methods in Engineering, Vol. 11, No. 2, 2004, p. 107-142.

Research output: Contribution to journalArticle

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T1 - Recent advances in the marker and cell method

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