Stability tools for the spectral-element code Nek5000: Application to Jet-in-Crossflow

A. Peplinski, P. Schlatter, Paul Fischer, D. S. Henningson

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

Abstract

We demonstrate the use of advanced linear stability tools developed for the spectral-element code Nek5000 to investigate the dynamics of nonlinear flows in moderately complex geometries. The aim of stability calculations is to identify the driving mechanism as well as the region most sensitive to the instability: the wavemaker.We concentrate on global linear stability analysis, which considers the linearised Navier–Stokes equations and searches for growing small disturbances, i.e. so-called linear global modes. In the structural sensitivity analysis these modes are associated to the eigenmodes of the direct and adjoint linearised Navier–Stokes operators, and the wavemaker is defined as the overlap of the strongest direct and adjoint eigenmodes. The large eigenvalue problems are solved usingmatrix-freemethods adopting the time-stepping Arnoldi approach.We present here our implementation in Nek5000 with the ARPACK library on a number of test cases.

Original languageEnglish (US)
Title of host publicationSpectral and High Order Methods for Partial Differential Equations ICOSAHOM 2012 - ICOSAHOM conference, Selected papers
EditorsMejdi Azaïez, Jan S. Hesthaven, Henda El Fekih
PublisherSpringer-Verlag
Pages349-359
Number of pages11
ISBN (Electronic)9783319016009
DOIs
StatePublished - Jan 1 2014
Externally publishedYes
Event9th International Conference on Spectral and High Order Methods, ICOSAHOM 2012 - Gammarth, Tunisia
Duration: Jun 25 2012Jun 29 2012

Publication series

NameLecture Notes in Computational Science and Engineering
Volume95
ISSN (Print)1439-7358

Other

Other9th International Conference on Spectral and High Order Methods, ICOSAHOM 2012
CountryTunisia
CityGammarth
Period6/25/126/29/12

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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