Linear stability of Euler equations in cylindrical domain

Čermák, Libor

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 53-58

Abstract

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The linear stability problem of inviscid incompressible steady flow between two concentric cylinders is investigated. Linearizing the transient behavior around a steady state solution leads to an eigenvalue problem for linearized Euler equations. The discrete eigenvalue problem is obtained by the spectral element method. The algorithm is implemented in MATLAB. The developed program serves as a simple tool for numerical experimenting. It enables to state rough dependency of the stability on various input velocity profiles.

How to cite

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Čermák, Libor. "Linear stability of Euler equations in cylindrical domain." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2008. 53-58. <http://eudml.org/doc/271410>.

@inProceedings{Čermák2008,
abstract = {The linear stability problem of inviscid incompressible steady flow between two concentric cylinders is investigated. Linearizing the transient behavior around a steady state solution leads to an eigenvalue problem for linearized Euler equations. The discrete eigenvalue problem is obtained by the spectral element method. The algorithm is implemented in MATLAB. The developed program serves as a simple tool for numerical experimenting. It enables to state rough dependency of the stability on various input velocity profiles.},
author = {Čermák, Libor},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {53-58},
publisher = {Institute of Mathematics AS CR},
title = {Linear stability of Euler equations in cylindrical domain},
url = {http://eudml.org/doc/271410},
year = {2008},
}

TY - CLSWK
AU - Čermák, Libor
TI - Linear stability of Euler equations in cylindrical domain
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2008
CY - Prague
PB - Institute of Mathematics AS CR
SP - 53
EP - 58
AB - The linear stability problem of inviscid incompressible steady flow between two concentric cylinders is investigated. Linearizing the transient behavior around a steady state solution leads to an eigenvalue problem for linearized Euler equations. The discrete eigenvalue problem is obtained by the spectral element method. The algorithm is implemented in MATLAB. The developed program serves as a simple tool for numerical experimenting. It enables to state rough dependency of the stability on various input velocity profiles.
UR - http://eudml.org/doc/271410
ER -

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