Stability characteristics of the virtual boundary method in three-dimensional applications

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

The refined stability analysis of the virtual boundary method proposed by Goldstein et al. (1994) and modified by Saiki and Biringen (1996) is carried out for applications to three-dimensional turbulent flows in complex geometry. The precise stability boundaries in the forcing parameter space for various time-advancing schemes are provided under the assumption that the virtual boundary points are densely distributed. From these and the relevant investigation of frequency of the forced system, the optimum gains of the feedback forcing are suggested. Stability regimes of the Runge-Kutta schemes of various order are much wider than those of the Adams-Bashforth schemes. Specially, the third-order Runge-Kutta scheme allows the use of an order-one CFL number in the integration of the feedback forcing, rendering the method applicable to turbulent flows with complex boundaries. The three-dimensional turbulent flow caused by a surface-mounted box was simulated using a spectral method for evaluation, confirming the stability limit proposed by theoretical estimate. The method was then applied to simulations of the flow around an impulsively starting cylinder and of the rough-wall turbulent boundary layer flow.

Original languageEnglish
Pages (from-to)559-591
Number of pages33
JournalJournal of Computational Physics
Volume184
Issue number2
DOIs
Publication statusPublished - 2003 Jan 20

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turbulent flow
Turbulent flow
Feedback
boundary layer flow
Boundary layer flow
spectral methods
turbulent boundary layer
boxes
Geometry
evaluation
estimates
geometry
simulation

All Science Journal Classification (ASJC) codes

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

Cite this

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Stability characteristics of the virtual boundary method in three-dimensional applications. / Lee, Chang Hoon.

In: Journal of Computational Physics, Vol. 184, No. 2, 20.01.2003, p. 559-591.

Research output: Contribution to journalArticle

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