Numerical Simulations of Oblique Shock/vortex Interactions Resulting in Vortex Breakdown
Author : Ashish Nedungadi
Publisher :
Page : pages
File Size : 26,10 MB
Release : 1997
Category :
ISBN :
Author : Ashish Nedungadi
Publisher :
Page : pages
File Size : 26,10 MB
Release : 1997
Category :
ISBN :
Author : Donald P. Rizzetta
Publisher :
Page : pages
File Size : 18,34 MB
Release : 1994
Category :
ISBN :
Author : Denis L. Blackmore
Publisher : World Scientific
Page : 299 pages
File Size : 18,84 MB
Release : 2005
Category : Science
ISBN : 9812563202
Honoring the contributions of one of the field's leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena.The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective.Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled ?Periodic vibrations of systems governed by nonlinear partial differential equations?, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differential equations of methods which, previously, had been used almost exclusively on ordinary differential equations. Professsor Lu Ting is an expert in both fluid dynamics and the use of matched asymptotic expansions. His physical insight into fluid flows has led the way to finding the appropriate mathematical simplications used in the solutions to many difficult flow problems.
Author : Gordon Erlebacher
Publisher :
Page : 48 pages
File Size : 31,12 MB
Release : 1996
Category :
ISBN :
Author : Griffin Corpening
Publisher :
Page : 316 pages
File Size : 37,24 MB
Release : 1990
Category : Aerodynamics, Supersonic
ISBN :
Author : Donald P. Rizzetta
Publisher :
Page : pages
File Size : 33,12 MB
Release : 1996
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ISBN :
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
Page : 48 pages
File Size : 42,95 MB
Release : 2018-07-05
Category :
ISBN : 9781722314323
In this paper we study the shock/longitudinal vortex interaction problem in axisymmetric geometry. Linearized analysis for small vortex strength is performed, and compared with results from a high order axisymmetric shock-fitted Euler solution obtained for this purpose. It is confirmed that for weak vortices, predictions from linear theory agree well with results from nonlinear numerical simulations at the shock location. To handle very strong longitudinal vortices, which may ultimately break the shock, we use an axisymmetric high order essentially non-oscillatory (ENO) shock capturing scheme. Comparison of shock-captured and shock-fitted results are performed in their regions of common validity. We also study the vortex breakdown as a function of Mach number ranging from 1.3 to 10, thus extending the range of existing results. For vortex strengths above a critical value. a triple point forms on the shock and a secondary shock forms to provide the necessary deceleration so that the fluid velocity can adjust to downstream conditions at the shock. Erlebacher, Gordon and Hussaini, M. Y. and Shu, Chi-Wang Langley Research Center NAS 1-19480; NSF DMS-95-00814; AF-AFSOR-95-1-0074; DAAH-04-94-G-0205; NAG 1-1145; RTOP 505-90-52-01...
Author : Lu Ting
Publisher : World Scientific
Page : 302 pages
File Size : 26,41 MB
Release : 2005
Category : Science
ISBN : 9812703438
Honoring the contributions of one of the field''s leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena. The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective. Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled OC Periodic vibrations of systems governed by nonlinear partial differential equationsOCO, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differential equations of methods which, previously, had been used almost exclusively on ordinary differential equations. Professsor Lu Ting is an expert in both fluid dynamics and the use of matched asymptotic expansions. His physical insight into fluid flows has led the way to finding the appropriate mathematical simplications used in the solutions to many difficult flow problems."
Author : Y. Nakamura
Publisher :
Page : 20 pages
File Size : 17,22 MB
Release : 1983
Category : Numerical analysis
ISBN :
The vortex-filament method was applied to the simulation of vortex breakdown. The principal vortex region was represented by multiple filaments, and an axial velocity component was induced by a spiral winding of the filaments. First, an accuracy check was performed for a cylindrical swirling flow field that can be simulated to any accuracy by increasing the number of filaments. Second, an axisymmetric-type vortex breakdown was simulated, with experimental data serving asupstream conditions. The calculated axial- and theta-velocity contours show the breakdown of the vortex, including a rapid change in the vortex core, followed axially by a recovery zone and then a second breakdown. When three-dimensional initial data are used the second breakdown appears to be out of the spiral type in correspondence with experimental observations. The present method can easily be used to simulate other types of vortex breakdown or other vortex flows with axial velocity.
Author : Satoru Yamamoto
Publisher :
Page : pages
File Size : 31,3 MB
Release : 1994
Category :
ISBN :