Development of an efficient bifurcation tracking method

S.J. Huntley, D.P. Jones, A.L. Gaitonde

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
261 Downloads (Pure)

Abstract

The buffet onset boundary is associated with a change in stability of the flow solution. The buffet onset boundary has been computed for a NACA 0012 aerofoil using a modified bifurcation tracking method. The algorithm combines the projection aspect of the Recursive Projection Method with two different direct bifurcation tracking methods. This considerably reduces the cost of the bifurcation tracking methods by solving for the bifurcation point on a small subspace of the system containing only the least stable dynamics. The method has been extended to allow the boundary to be computed as geometrical parameters, camber and thickness, are changed. This enables rapid evaluation of the effect of different aerofoil designs on the boundary. Results are presented comparing the full bifurcation tracking methods to their projected equivalent and show that although the projected methods lack the numerical accuracy of the full counterpart, the trends of the boundaries agree well.
Original languageEnglish
Pages (from-to)28-42
Number of pages15
JournalComputers and Fluids
Volume157
Early online date5 Aug 2017
DOIs
Publication statusPublished - 3 Nov 2017

Bibliographical note

Document is post-print not pre-print, completed in a LaTex template.

Keywords

  • Buffet
  • Bifurcation
  • Continuation
  • Flow stability
  • Navier-Stokes

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