Spectra and pseudospectra for pipe Poiseuille flow

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

doi:10.1016/S0045-7825(98)00364-8

Spectra and pseudospectra for pipe Poiseuille flow

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

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	413-420
Number of pages	8
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	175
Issue number	3-4
DOIs	https://doi.org/10.1016/S0045-7825(98)00364-8
State	Published - Jul 2 1999
Externally published	Yes

ASJC Scopus subject areas

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

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10.1016/S0045-7825(98)00364-8

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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.",

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T1 - Spectra and pseudospectra for pipe Poiseuille flow

AU - Trefethen, Anne E.

AU - Trefethen, Lloyd N.

AU - Schmid, Peter J.

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PY - 1999/7/2

Y1 - 1999/7/2

N2 - 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.

AB - 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.

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U2 - 10.1016/S0045-7825(98)00364-8

DO - 10.1016/S0045-7825(98)00364-8

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SP - 413

EP - 420

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 3-4

ER -

Spectra and pseudospectra for pipe Poiseuille flow

Abstract

ASJC Scopus subject areas

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