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Numerical analysis of FDV method for one-dimensional Euler equations

Bin Zulkafli, Mohd Fadhli and Omar, Ashraf Ali E. and Asrar, Waqar (2012) Numerical analysis of FDV method for one-dimensional Euler equations. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3 - 5 July 2012, Seri Pacific Hotel Kuala Lumpur, Malaysia.

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Abstract

Finite volume form of Flowfield Dependent Variation (FDV) method was implemented into upwind scheme in order to solve one-dimensional Euler equations. The implementation of FDV method was motivated by its ability in solving the transition and interaction between different flow regimes based on the so-called FDV parameters which are dependent to the physical properties of the flow. Finite volume form was chosen to add capabilities of handling complex geometries with the advantages of relatively low computational memories requirement. In the present work, conservative variables were approximated using high resolution MUSCL scheme and minmod limiter. Stability condition of the method was analyzed using Von Neumann analysis and has found to be conditionally stable. The accuracy of the method was tested by solving shock tube problem and the results matched with analytical solution. Keywords: Computational Fluid Dynamics (CFD); Flowfield Dependent Variation (FDV); Euler equations

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 4441/26781
Uncontrolled Keywords: Computational Fluid Dynamics (CFD); Flowfield Dependent Variation (FDV); Euler equations
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics > TL500 Aeronautics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User: Prof. Ashraf Omar
Date Deposited: 06 Dec 2012 15:54
Last Modified: 06 Dec 2012 15:54
URI: http://irep.iium.edu.my/id/eprint/26781

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