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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis
2014
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| Online Access: | http://eprints.uthm.edu.my/4513/ http://eprints.uthm.edu.my/4513/1/AJ%202018%20%2896%29.pdf |
| _version_ | 1848888308377059328 |
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| author | Mohammed, Akmal Nizam Ismail, Farzad |
| author_facet | Mohammed, Akmal Nizam Ismail, Farzad |
| author_sort | Mohammed, Akmal Nizam |
| building | UTHM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T20:08:13Z |
| format | Article |
| id | uthm-4513 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:08:13Z |
| publishDate | 2014 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-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/ http://eprints.uthm.edu.my/4513/ http://eprints.uthm.edu.my/4513/1/AJ%202018%20%2896%29.pdf |