Study of an entropy-consistent Navier–Stokes flux

This paper presents a study to achieve discrete entropy consistency using artificial and physical diffusion mechanisms. The study begins with the one-dimensional viscous Burgers equation, specifically looking at the shock results of entropy-conserved fluxes combined with a few choices of artificial...

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Main Authors: Mohammed, Akmal Nizam, Ismail, Farzad
Format: Article
Language:en
Published: Taylor & Francis 2014
Subjects:
Online Access:http://eprints.uthm.edu.my/4513/1/AJ%202018%20%2896%29.pdf
http://eprints.uthm.edu.my/4513/
http://dx.doi.org/10.1080/10618562.2012.752573
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author Mohammed, Akmal Nizam
Ismail, Farzad
author_facet Mohammed, Akmal Nizam
Ismail, Farzad
author_sort Mohammed, Akmal Nizam
building UTHM Library
collection Institutional Repository
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
continent Asia
country Malaysia
description This paper presents a study to achieve discrete entropy consistency using artificial and physical diffusion mechanisms. The study begins with the one-dimensional viscous Burgers equation, specifically looking at the shock results of entropy-conserved fluxes combined with a few choices of artificial and physical viscous diffusions. The approach is then repeated for the Navier–Stokes equations. Overall, it is demonstrated that the artificial viscosity (or entropy) terms are still needed in addition to physical viscosity to achieve entropy consistency in shock predictions, although one of the artificial terms can be dropped for high viscosity or low Reynolds number flow.
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spelling my.uthm.eprints-45132021-12-07T04:44:12Z http://eprints.uthm.edu.my/4513/ Study of an entropy-consistent Navier–Stokes flux Mohammed, Akmal Nizam Ismail, Farzad T Technology (General) TK2000-2891 Dynamoelectric machinery and auxiliaries. Including generators, motors, transformers This paper presents a study to achieve discrete entropy consistency using artificial and physical diffusion mechanisms. The study begins with the one-dimensional viscous Burgers equation, specifically looking at the shock results of entropy-conserved fluxes combined with a few choices of artificial and physical viscous diffusions. The approach is then repeated for the Navier–Stokes equations. Overall, it is demonstrated that the artificial viscosity (or entropy) terms are still needed in addition to physical viscosity to achieve entropy consistency in shock predictions, although one of the artificial terms can be dropped for high viscosity or low Reynolds number flow. Taylor & Francis 2014 Article PeerReviewed text en http://eprints.uthm.edu.my/4513/1/AJ%202018%20%2896%29.pdf Mohammed, Akmal Nizam and Ismail, Farzad (2014) Study of an entropy-consistent Navier–Stokes flux. International Journal of Computational Fluid Dynamics, 27 (1). pp. 1-14. ISSN 1029-0257 http://dx.doi.org/10.1080/10618562.2012.752573
spellingShingle T Technology (General)
TK2000-2891 Dynamoelectric machinery and auxiliaries. Including generators, motors, transformers
Mohammed, Akmal Nizam
Ismail, Farzad
Study of an entropy-consistent Navier–Stokes flux
title Study of an entropy-consistent Navier–Stokes flux
title_full Study of an entropy-consistent Navier–Stokes flux
title_fullStr Study of an entropy-consistent Navier–Stokes flux
title_full_unstemmed Study of an entropy-consistent Navier–Stokes flux
title_short Study of an entropy-consistent Navier–Stokes flux
title_sort study of an entropy-consistent navier–stokes flux
topic T Technology (General)
TK2000-2891 Dynamoelectric machinery and auxiliaries. Including generators, motors, transformers
url http://eprints.uthm.edu.my/4513/1/AJ%202018%20%2896%29.pdf
http://eprints.uthm.edu.my/4513/
http://dx.doi.org/10.1080/10618562.2012.752573
url_provider http://eprints.uthm.edu.my/