A sensitivity study of the Navier–Stokes-α model

Sean Breckling, Monika Neda, Fran Pahlevani

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We present a sensitivity study of the Navier Stokes-α model with respect to perturbations of the differential filter length α. The parameter-sensitivity is evaluated using the sensitivity equations method. Once formulated, the sensitivity equations are discretized and computed alongside the NSα model using the same finite elements in space, and Crank–Nicolson in time. We provide a complete stability analysis of the scheme, along with the results of several benchmark problems in both 2D and 3D. We further demonstrate a practical technique to utilize sensitivity calculations to determine the reliability of the NSα model in problem-specific settings. Lastly, we investigate the sensitivity and reliability of important functionals of the velocity and pressure solutions.

Original languageEnglish (US)
Pages (from-to)666-689
Number of pages24
JournalComputers and Mathematics with Applications
Volume75
Issue number2
DOIs
StatePublished - Jan 15 2018

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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