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Analytical And Numerical Study On Carbuncle Phenomenon

Most newly developed schemes in the literatures to solve the shock instability in hyperbolic conservation laws mainly focused on adding ad hoc diffusion factor without properly indulging into the sources of the problem. An example of shock instabilities is the carbuncle phenomenon which occurs wh...

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Main Author: Wahi, Nadihah
Format: Thesis
Language:English
Published: 2016
Subjects:
T Technology
TL500-777 Aeronautics. Aeronautical engineering
Online Access:http://eprints.usm.my/45726/1/Analytical%20And%20Numerical%20Study%20On%20Carbuncle%20Phenomenon.pdf
http://eprints.usm.my/45726/
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spelling my.usm.eprints.45726 http://eprints.usm.my/45726/ Analytical And Numerical Study On Carbuncle Phenomenon Wahi, Nadihah T Technology TL500-777 Aeronautics. Aeronautical engineering Most newly developed schemes in the literatures to solve the shock instability in hyperbolic conservation laws mainly focused on adding ad hoc diffusion factor without properly indulging into the sources of the problem. An example of shock instabilities is the carbuncle phenomenon which occurs when simulating a blunt body subjected to a high speed flow. The shock formed ahead of the body is unphysical. Therefore, the goals of this study are to find at least one possible cause of the problem and to fix the instability from that cause. Extruding a possible source of the problem, herein the elimination process was applied to reduce the number of conservative variables involve, starting from the Burgers’ equation followed by isothermal equations to the full Euler equations. Then, a small perturbation definition to the hyperbolic conservation equations was used as a mean to ease the nonlinearity from the equations. After that, the method of normal mode was used to analytically analyze the instability mechanism. The cause was found to be the perturbation from density which seeding into the instability. Numerical tests were then used to check the validity of the analytical result and they gave a good agreement with the analysis. Finally, a tunable dissipative coefficient was inserted only to the density equation and a range value of 0:02 2016-12 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/45726/1/Analytical%20And%20Numerical%20Study%20On%20Carbuncle%20Phenomenon.pdf Wahi, Nadihah (2016) Analytical And Numerical Study On Carbuncle Phenomenon. PhD thesis, Universiti Sains Malaysia.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic T Technology
TL500-777 Aeronautics. Aeronautical engineering
spellingShingle T Technology
TL500-777 Aeronautics. Aeronautical engineering
Wahi, Nadihah
Analytical And Numerical Study On Carbuncle Phenomenon
description Most newly developed schemes in the literatures to solve the shock instability in hyperbolic conservation laws mainly focused on adding ad hoc diffusion factor without properly indulging into the sources of the problem. An example of shock instabilities is the carbuncle phenomenon which occurs when simulating a blunt body subjected to a high speed flow. The shock formed ahead of the body is unphysical. Therefore, the goals of this study are to find at least one possible cause of the problem and to fix the instability from that cause. Extruding a possible source of the problem, herein the elimination process was applied to reduce the number of conservative variables involve, starting from the Burgers’ equation followed by isothermal equations to the full Euler equations. Then, a small perturbation definition to the hyperbolic conservation equations was used as a mean to ease the nonlinearity from the equations. After that, the method of normal mode was used to analytically analyze the instability mechanism. The cause was found to be the perturbation from density which seeding into the instability. Numerical tests were then used to check the validity of the analytical result and they gave a good agreement with the analysis. Finally, a tunable dissipative coefficient was inserted only to the density equation and a range value of 0:02
format Thesis
author Wahi, Nadihah
author_facet Wahi, Nadihah
author_sort Wahi, Nadihah
title Analytical And Numerical Study On Carbuncle Phenomenon
title_short Analytical And Numerical Study On Carbuncle Phenomenon
title_full Analytical And Numerical Study On Carbuncle Phenomenon
title_fullStr Analytical And Numerical Study On Carbuncle Phenomenon
title_full_unstemmed Analytical And Numerical Study On Carbuncle Phenomenon
title_sort analytical and numerical study on carbuncle phenomenon
publishDate 2016
url http://eprints.usm.my/45726/1/Analytical%20And%20Numerical%20Study%20On%20Carbuncle%20Phenomenon.pdf
http://eprints.usm.my/45726/
_version_ 1717094449286217728
score 13.211869

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