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A high order compact-flowfield dependent variation (HOC-FDV)method for inviscid flows

Elfaghi, Abdulhafid M. and Asrar, Waqar and Omar, Ashraf Ali E. (2010) A high order compact-flowfield dependent variation (HOC-FDV)method for inviscid flows. International Journal for Computational Methods in Engineering Science and Mechanics, 11 (5). pp. 258-263. ISSN 1550-2295 (O), 1550-2287 (P)

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Abstract

In this paper, a single high-order compact flowfield-dependent variation (HOC-FDV) method is developed, valid for twodimensional inviscid compressible as well as incompressible flow problems. The method has third-order accuracy in time and fourth-order accuracy in space. The FDV scheme is used for time discretization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedure consists of a number of tri-diagonal matrix operations and produces an accurate solver. Numerical examples are solved to demonstrate the accuracy and convergence characteristics of the high-resolution scheme. The test cases are flow over a compression corner, a channel flow with compression/expansion, and a flow past NACA 0012 airfoil. The numerical results show an excellent agreement with analytical and published numerical results and they clearly demonstrate the higher accuracy of a single HOC-FDV scheme for both incompressible and compressible flows.

Item Type: Article (Journal)
Additional Information: 4277/1930
Uncontrolled Keywords: Flowfield-dependent variation (FDV), higher-order compact (HOC), inviscid flows, Euler equations, incompressible flows, supersonic flows
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: 14 Nov 2011 13:42
Last Modified: 21 Nov 2011 22:00
URI: http://irep.iium.edu.my/id/eprint/1930

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