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Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations

Elfagi, Abdulhafid M. and Ahmed Omer, Elhassen Ali and Asrar, Waqar and Omar, Ashraf Ali (2011) Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations. In: International Conference on Mechanical, Automotive and Aerospace Engineering 2011, 17-19 May, 2011, Kuala Lumpur.

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Abstract

A higher order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier-Stokes equations. The scheme is a third order accuracy in time and fourth order accuracy in space. The spatial derivatives in the third order accuracy in time, flowfield dependent variation (FDV) equations proposed by Chung, are approximated using high order compact (HOC) Hermitian (Pade) scheme. The solution procedure at each time step consists of a system of block tri-diagonal matrix which can be solved efficiently in a standard manner. Two-dimensional numerical examples are tested to examine the accuracy and shockwave boundary layer interactions. The results showed the high accuracy and the capability of the higher order scheme to simulate accurately the separation and discontinuity

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 4277/2352
Uncontrolled Keywords: Navier Stokes equations, Flowfield-dependent variation (FDV), Higher-order compact (HOC), Shock capturing, Viscous flow.
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: 20 Sep 2011 15:55
Last Modified: 20 Dec 2011 14:47
URI: http://irep.iium.edu.my/id/eprint/2352

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