Instabilities of two-dimensional inviscid compressible vortices

Autor:	W. M. Chan, Karim Shariff, T. H. Pulliam
Rok vydání:	1993
Předmět:	Physics Mechanical Engineering Mathematical analysis Starting vortex Condensed Matter Physics Euler equations Vortex ring Vortex symbols.namesake Classical mechanics Mechanics of Materials Inviscid flow Vortex stretching symbols Initial value problem Linear stability
Zdroj:	Journal of Fluid Mechanics. 253:173
ISSN:	1469-7645 0022-1120
DOI:	10.1017/s0022112093001764
Popis:	An investigation of the linear stability and subsequent nonlinear evolution and acoustic radiation of a planar inviscid compressible vortex is presented. The effects of the entropy gradient are investigated, and for the particular entropy profile chosen, the positive average entropy in the vortex core is destabilizing, while the opposite is true for the negative average entropy gradient. Finite-difference methods are used to study the linear initial value problem. These methods are found to be capable of accurately computing the frequencies and weak growth rates of the normal modes. When the initial condition consists of random perturbations, the long-time behavior is found to correspond to the most unstable normal mode in all cases. The numerical solution of the Euler equations is used to study the nonlinear development of an elliptic-mode perturbation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e2d8e9b50fe572a5fd8f8e685fd8b2c8 https://doi.org/10.1017/s0022112093001764 Zobrazit plný text záznamu