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Entropy consistent methods for the Navier-Stokes Equations

Mohammed, Akmal Nizam and Ismail, Farzad (2015) Entropy consistent methods for the Navier-Stokes Equations. Journal of Scientific Computing, 63 (2). pp. 612-631. ISSN 0885-7474

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Abstract

The concept of entropy conservation, stability, and consistency is applied to systems of hyperbolic equations to create new flux functions for the scalar and systems of conservation laws. Firstly, Burgers’ equation is modelled, followed by the Navier–Stokes equations. The new models are compared with the pre-existing entropy consistent fluxes at selected viscosity levels; it is found that the system flux requires additional entropy production at low viscosities, but not at higher viscosity values. Initial results herein demonstrate that the accuracy of the first order systems approach are comparable to the results produced by the original entropy-consistent Navier–Stokes flux.

Item Type: Article
Uncontrolled Keywords: shock capturing ;Navier-Stokes flux ;entropy consistency; entropy production; first-order systems
Subjects: T Technology > TJ Mechanical engineering and machinery > TJ255-265 Heat engines
Divisions: Faculty of Mechanical and Manufacturing Engineering > Department of Plant and Automotive Engineering
Depositing User: Normajihan Abd. Rahman
Date Deposited: 26 May 2015 08:43
Last Modified: 26 May 2015 08:43
URI: http://eprints.uthm.edu.my/id/eprint/6915
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