An unfactored implicit moving mesh method for the two-dimensional unsteady N-S equations

K. J. Badcock*, A. L. Gaitonde

*Corresponding author for this work

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

16 Citations (Scopus)

Abstract

An unfactored implicit time-marching method for the solution of the unsteady two-dimensional Reynolds-averaged thin layer Navier-Stokes equations is presented. The linear system arising from each implicit step is solved by the conjugate gradient squared (CGS) method with preconditioning based on an ADI factorization. The time-marching procedure has been used with a fast transfinite interpolation method to regenerate the mesh at each time step in response to the motion of the aerofoil. The main test cases examined are from the AGARD aeroelastic configurations and involve aerofoils oscillating rigidly in pitch. These test cases have been used to investigate the effect of various parameters, such as CGS tolerance and laminar to turbulent transition location, on the accuracy and efficiency of the method. Comparisons with available experimental data have been made for these cases. In order to illustrate the application of the mesh generator and flow solver to more general flows where the aerofoil deforms, results for an NACA 0012 aerofoil with an oscillating trailing edge flap are also shown.

Translated title of the contributionAn unfactored implicit moving mesh method for the two-dimensional unsteady N-S equations
Original languageEnglish
Pages (from-to)607-631
Number of pages25
JournalInternational Journal for Numerical Methods in Fluids
Volume23
Issue number6
Publication statusPublished - 30 Sep 1996

Bibliographical note

Publisher: John Wiley & Sons Ltd

Keywords

  • Implicit methods
  • Mesh generation
  • Unsteady flow

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