Spectra and pseudospectra for pipe Poiseuille flow

Anne E. Trefethen, Lloyd N. Trefethen, Peter J. Schmid

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

Numerically computed spectra and pseudospectra are presented for the linear operator that governs the temporal evolution of infinitesimal perturbations of laminar flow in an infinite circular pipe at Reynolds numbers 1000, 3000 and 10 000. The spectra lie strictly inside the stable complex half-plane, but the pseudospectra protrude significantly into the unstable half-plane, reflecting the large linear transient growth that certain perturbations may excite.
Original languageEnglish (US)
Pages (from-to)413-420
Number of pages8
JournalComputer Methods in Applied Mechanics and Engineering
Volume175
Issue number3-4
DOIs
StatePublished - Jul 2 1999
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2022-09-13

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Mechanics of Materials
  • Mechanical Engineering
  • Computational Mechanics
  • Computer Science Applications

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