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Linear stability of swirling flows computed as solutions to the quasi‐cylindrical equations of motion
Author(s) -
Spall Robert E.
Publication year - 1993
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650170403
Subject(s) - inviscid flow , vortex , extrapolation , richardson extrapolation , linear stability , instability , mathematics , eigenvalues and eigenvectors , equations of motion , finite difference , stability (learning theory) , mechanics , mathematical analysis , physics , classical mechanics , quantum mechanics , machine learning , computer science
The linear stability of numerical solutions to the quasi‐cylindrical equations of motion for swirling flows is investigated. Initial conditions are derived from Batchelor's similarity solution for a trailing line vortex. The stability calculations are performed using a second‐order‐accurate finite‐difference scheme on a staggered grid, with the accuracy of the computed eigenvalues enhanced through Richardson extrapolation. The streamwise development of both viscous and inviscid instability modes is presented. The possible relationship to vortex breakdown is discussed.