Numerical effects on the prediction of flow instabilities in channels with sudden-expansions

S. Patel, D. Drikakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

2 Citations (Scopus)

Abstract

We have considered the problem of flow through a suddenly-expanded channel and performed a computational investigation to examine numerical effects on the prediction of flow instability and bifurcation phenomena. The results revealed that the solution of the flow depends on the numerical method employed. We have employed Godunov-type methods in conjunction with first-, second- and third-order accurate interpolation schemes. It is shown that the order of accuracy of the interpolation used in the discretisation of the wave-speed dependent term and averaged part of the intercell flux affects the prediction of the instability. Computations using first-order discretisation for the calculation of the flux components results in symmetric stable flow, whereas second- and third-order discretisations lead to a symmetry-breaking bifurcation.
LanguageEnglish
Title of host publicationASME 2003 International Mechanical Engineering Congress and Exposition
Subtitle of host publicationFluids Engineering
Pages117-122
Number of pages6
DOIs
Publication statusPublished - 21 Nov 2003

Fingerprint

Flow Instability
Discretization
Prediction
Bifurcation
Interpolate
Wave Speed
Symmetry Breaking
Numerical Methods
First-order
Dependent
Term

Keywords

  • channels (hydraulic engineering)
  • flow instability
  • Godunov-type methods

Cite this

Patel, S., & Drikakis, D. (2003). Numerical effects on the prediction of flow instabilities in channels with sudden-expansions. In ASME 2003 International Mechanical Engineering Congress and Exposition: Fluids Engineering (pp. 117-122). [IMECE2003-55616] https://doi.org/10.1115/IMECE2003-55616
Patel, S. ; Drikakis, D. / Numerical effects on the prediction of flow instabilities in channels with sudden-expansions. ASME 2003 International Mechanical Engineering Congress and Exposition: Fluids Engineering. 2003. pp. 117-122
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Patel, S & Drikakis, D 2003, Numerical effects on the prediction of flow instabilities in channels with sudden-expansions. in ASME 2003 International Mechanical Engineering Congress and Exposition: Fluids Engineering., IMECE2003-55616, pp. 117-122. https://doi.org/10.1115/IMECE2003-55616

Numerical effects on the prediction of flow instabilities in channels with sudden-expansions. / Patel, S.; Drikakis, D.

ASME 2003 International Mechanical Engineering Congress and Exposition: Fluids Engineering. 2003. p. 117-122 IMECE2003-55616.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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Patel S, Drikakis D. Numerical effects on the prediction of flow instabilities in channels with sudden-expansions. In ASME 2003 International Mechanical Engineering Congress and Exposition: Fluids Engineering. 2003. p. 117-122. IMECE2003-55616 https://doi.org/10.1115/IMECE2003-55616