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.
@article{702855,
title = {Linear stability of Euler equations in cylindrical domain},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2008},
pages = {53-58},
zbl = {05802241},
url = {http://dml.mathdoc.fr/item/702855}
}
Čermák, Libor. Linear stability of Euler equations in cylindrical domain, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2008), pp. 53-58. http://gdmltest.u-ga.fr/item/702855/