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Study of an entropy-consistent Navier–Stokes flux

Mohammed, Akmal Nizam and Ismail, Farzad (2013) Study of an entropy-consistent Navier–Stokes flux. International Journal of Computational Fluid Dynamics, 27 (1). pp. 1-14. ISSN 10290257

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Shock capturing; Navier–Stokes flux; entropy consistency; entropy production; physical viscosity
Subjects: Q Science > QC Physics
Divisions: Faculty of Mechanical and Manufacturing Engineering > Department of Energy and Thermofluid Engineering
Depositing User: Mr. Mohammad Shaifulrip Ithnin
Date Deposited: 20 Feb 2019 08:12
Last Modified: 20 Feb 2019 08:12
URI: http://eprints.uthm.edu.my/id/eprint/10735
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